Highest Common Factor of 9406, 2629 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 9406, 2629 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9406, 2629 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 9406, 2629 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 9406, 2629 is 1.
HCF(9406, 2629) = 1
HCF of 9406, 2629 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9406, 2629 is 1.
Highest Common Factor of 9406,2629 is 1
Step 1: Since 9406 > 2629, we apply the division lemma to 9406 and 2629, to get
9406 = 2629 x 3 + 1519
Step 2: Since the reminder 2629 ≠ 0, we apply division lemma to 1519 and 2629, to get
2629 = 1519 x 1 + 1110
Step 3: We consider the new divisor 1519 and the new remainder 1110, and apply the division lemma to get
1519 = 1110 x 1 + 409
We consider the new divisor 1110 and the new remainder 409,and apply the division lemma to get
1110 = 409 x 2 + 292
We consider the new divisor 409 and the new remainder 292,and apply the division lemma to get
409 = 292 x 1 + 117
We consider the new divisor 292 and the new remainder 117,and apply the division lemma to get
292 = 117 x 2 + 58
We consider the new divisor 117 and the new remainder 58,and apply the division lemma to get
117 = 58 x 2 + 1
We consider the new divisor 58 and the new remainder 1,and apply the division lemma to get
58 = 1 x 58 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9406 and 2629 is 1
Notice that 1 = HCF(58,1) = HCF(117,58) = HCF(292,117) = HCF(409,292) = HCF(1110,409) = HCF(1519,1110) = HCF(2629,1519) = HCF(9406,2629) .
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Frequently Asked Questions on HCF of 9406, 2629 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 9406, 2629?
Answer: HCF of 9406, 2629 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9406, 2629 using Euclid's Algorithm?
Answer: For arbitrary numbers 9406, 2629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.