Highest Common Factor of 9171, 2977 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 9171, 2977 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9171, 2977 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 9171, 2977 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 9171, 2977 is 1.
HCF(9171, 2977) = 1
HCF of 9171, 2977 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9171, 2977 is 1.
Highest Common Factor of 9171,2977 is 1
Step 1: Since 9171 > 2977, we apply the division lemma to 9171 and 2977, to get
9171 = 2977 x 3 + 240
Step 2: Since the reminder 2977 ≠ 0, we apply division lemma to 240 and 2977, to get
2977 = 240 x 12 + 97
Step 3: We consider the new divisor 240 and the new remainder 97, and apply the division lemma to get
240 = 97 x 2 + 46
We consider the new divisor 97 and the new remainder 46,and apply the division lemma to get
97 = 46 x 2 + 5
We consider the new divisor 46 and the new remainder 5,and apply the division lemma to get
46 = 5 x 9 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9171 and 2977 is 1
Notice that 1 = HCF(5,1) = HCF(46,5) = HCF(97,46) = HCF(240,97) = HCF(2977,240) = HCF(9171,2977) .
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Frequently Asked Questions on HCF of 9171, 2977 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 9171, 2977?
Answer: HCF of 9171, 2977 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9171, 2977 using Euclid's Algorithm?
Answer: For arbitrary numbers 9171, 2977 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.