Highest Common Factor of 2974, 9371 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 2974, 9371 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2974, 9371 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 2974, 9371 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 2974, 9371 is 1.
HCF(2974, 9371) = 1
HCF of 2974, 9371 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2974, 9371 is 1.
Highest Common Factor of 2974,9371 is 1
Step 1: Since 9371 > 2974, we apply the division lemma to 9371 and 2974, to get
9371 = 2974 x 3 + 449
Step 2: Since the reminder 2974 ≠ 0, we apply division lemma to 449 and 2974, to get
2974 = 449 x 6 + 280
Step 3: We consider the new divisor 449 and the new remainder 280, and apply the division lemma to get
449 = 280 x 1 + 169
We consider the new divisor 280 and the new remainder 169,and apply the division lemma to get
280 = 169 x 1 + 111
We consider the new divisor 169 and the new remainder 111,and apply the division lemma to get
169 = 111 x 1 + 58
We consider the new divisor 111 and the new remainder 58,and apply the division lemma to get
111 = 58 x 1 + 53
We consider the new divisor 58 and the new remainder 53,and apply the division lemma to get
58 = 53 x 1 + 5
We consider the new divisor 53 and the new remainder 5,and apply the division lemma to get
53 = 5 x 10 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 2974 and 9371 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(53,5) = HCF(58,53) = HCF(111,58) = HCF(169,111) = HCF(280,169) = HCF(449,280) = HCF(2974,449) = HCF(9371,2974) .
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Frequently Asked Questions on HCF of 2974, 9371 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 2974, 9371?
Answer: HCF of 2974, 9371 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2974, 9371 using Euclid's Algorithm?
Answer: For arbitrary numbers 2974, 9371 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
