Highest Common Factor of 951, 39615 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 951, 39615 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 951, 39615 is 3 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 951, 39615 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 951, 39615 is 3.
HCF(951, 39615) = 3
HCF of 951, 39615 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 951, 39615 is 3.
Highest Common Factor of 951,39615 is 3
Step 1: Since 39615 > 951, we apply the division lemma to 39615 and 951, to get
39615 = 951 x 41 + 624
Step 2: Since the reminder 951 ≠ 0, we apply division lemma to 624 and 951, to get
951 = 624 x 1 + 327
Step 3: We consider the new divisor 624 and the new remainder 327, and apply the division lemma to get
624 = 327 x 1 + 297
We consider the new divisor 327 and the new remainder 297,and apply the division lemma to get
327 = 297 x 1 + 30
We consider the new divisor 297 and the new remainder 30,and apply the division lemma to get
297 = 30 x 9 + 27
We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get
30 = 27 x 1 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 951 and 39615 is 3
Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(297,30) = HCF(327,297) = HCF(624,327) = HCF(951,624) = HCF(39615,951) .
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Frequently Asked Questions on HCF of 951, 39615 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 951, 39615?
Answer: HCF of 951, 39615 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 951, 39615 using Euclid's Algorithm?
Answer: For arbitrary numbers 951, 39615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.