HCF of 130, 78 by Euclid's Divison lemma method can be determined easily by using our free online HCF using Euclid's Divison Lemma Calculator and get the result in a fraction of seconds ie., 26 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 130, 78 is 26.
HCF(130, 78) = 26
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
Below detailed show work will make you learn how to find HCF of 130,78 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(130,78).
Here 130 is greater than 78
Now, consider the largest number as 'a' from the given number ie., 130 and 78 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 130 > 78, we apply the division lemma to 130 and 78, to get
130 = 78 x 1 + 52
Step 2: Since the reminder 78 ≠ 0, we apply division lemma to 52 and 78, to get
78 = 52 x 1 + 26
Step 3: We consider the new divisor 52 and the new remainder 26, and apply the division lemma to get
52 = 26 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 130 and 78 is 26
Notice that 26 = HCF(52,26) = HCF(78,52) = HCF(130,78) .
Therefore, HCF of 130,78 using Euclid's division lemma is 26.
1. What is the HCF(130, 78)?
The Highest common factor of 130, 78 is 26 the largest common factor that exactly divides two or more numbers with remainder 0.
2. How do you find HCF of 130, 78 using the Euclidean division algorithm?
According to the Euclidean division algorithm, if we have two integers say a, b ie., 130, 78 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 130, 78 as 26.
3. Where can I get a detailed solution for finding the HCF(130, 78) by Euclid's division lemma method?
You can get a detailed solution for finding the HCF(130, 78) by Euclid's division lemma method on our page.