Highest Common Factor of 951, 20696 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, 20696 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 951, 20696 is 1 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, 20696 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, 20696 is 1.
HCF(951, 20696) = 1
HCF of 951, 20696 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, 20696 is 1.
Highest Common Factor of 951,20696 is 1
Step 1: Since 20696 > 951, we apply the division lemma to 20696 and 951, to get
20696 = 951 x 21 + 725
Step 2: Since the reminder 951 ≠ 0, we apply division lemma to 725 and 951, to get
951 = 725 x 1 + 226
Step 3: We consider the new divisor 725 and the new remainder 226, and apply the division lemma to get
725 = 226 x 3 + 47
We consider the new divisor 226 and the new remainder 47,and apply the division lemma to get
226 = 47 x 4 + 38
We consider the new divisor 47 and the new remainder 38,and apply the division lemma to get
47 = 38 x 1 + 9
We consider the new divisor 38 and the new remainder 9,and apply the division lemma to get
38 = 9 x 4 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 951 and 20696 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(38,9) = HCF(47,38) = HCF(226,47) = HCF(725,226) = HCF(951,725) = HCF(20696,951) .
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Frequently Asked Questions on HCF of 951, 20696 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, 20696?
Answer: HCF of 951, 20696 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 951, 20696 using Euclid's Algorithm?
Answer: For arbitrary numbers 951, 20696 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.