Highest Common Factor of 915, 7747 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 915, 7747 i.e. 61 the largest integer that leaves a remainder zero for all numbers.
HCF of 915, 7747 is 61 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 915, 7747 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 915, 7747 is 61.
HCF(915, 7747) = 61
HCF of 915, 7747 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 915, 7747 is 61.
Highest Common Factor of 915,7747 is 61
Step 1: Since 7747 > 915, we apply the division lemma to 7747 and 915, to get
7747 = 915 x 8 + 427
Step 2: Since the reminder 915 ≠ 0, we apply division lemma to 427 and 915, to get
915 = 427 x 2 + 61
Step 3: We consider the new divisor 427 and the new remainder 61, and apply the division lemma to get
427 = 61 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 61, the HCF of 915 and 7747 is 61
Notice that 61 = HCF(427,61) = HCF(915,427) = HCF(7747,915) .
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Frequently Asked Questions on HCF of 915, 7747 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 915, 7747?
Answer: HCF of 915, 7747 is 61 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 915, 7747 using Euclid's Algorithm?
Answer: For arbitrary numbers 915, 7747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.