Highest Common Factor of 9170, 2697 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 9170, 2697 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9170, 2697 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 9170, 2697 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 9170, 2697 is 1.
HCF(9170, 2697) = 1
HCF of 9170, 2697 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9170, 2697 is 1.
Highest Common Factor of 9170,2697 is 1
Step 1: Since 9170 > 2697, we apply the division lemma to 9170 and 2697, to get
9170 = 2697 x 3 + 1079
Step 2: Since the reminder 2697 ≠ 0, we apply division lemma to 1079 and 2697, to get
2697 = 1079 x 2 + 539
Step 3: We consider the new divisor 1079 and the new remainder 539, and apply the division lemma to get
1079 = 539 x 2 + 1
We consider the new divisor 539 and the new remainder 1, and apply the division lemma to get
539 = 1 x 539 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9170 and 2697 is 1
Notice that 1 = HCF(539,1) = HCF(1079,539) = HCF(2697,1079) = HCF(9170,2697) .
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Frequently Asked Questions on HCF of 9170, 2697 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 9170, 2697?
Answer: HCF of 9170, 2697 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9170, 2697 using Euclid's Algorithm?
Answer: For arbitrary numbers 9170, 2697 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.