Highest Common Factor of 6091, 3457 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 6091, 3457 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6091, 3457 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 6091, 3457 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 6091, 3457 is 1.
HCF(6091, 3457) = 1
HCF of 6091, 3457 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6091, 3457 is 1.
Highest Common Factor of 6091,3457 is 1
Step 1: Since 6091 > 3457, we apply the division lemma to 6091 and 3457, to get
6091 = 3457 x 1 + 2634
Step 2: Since the reminder 3457 ≠ 0, we apply division lemma to 2634 and 3457, to get
3457 = 2634 x 1 + 823
Step 3: We consider the new divisor 2634 and the new remainder 823, and apply the division lemma to get
2634 = 823 x 3 + 165
We consider the new divisor 823 and the new remainder 165,and apply the division lemma to get
823 = 165 x 4 + 163
We consider the new divisor 165 and the new remainder 163,and apply the division lemma to get
165 = 163 x 1 + 2
We consider the new divisor 163 and the new remainder 2,and apply the division lemma to get
163 = 2 x 81 + 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 6091 and 3457 is 1
Notice that 1 = HCF(2,1) = HCF(163,2) = HCF(165,163) = HCF(823,165) = HCF(2634,823) = HCF(3457,2634) = HCF(6091,3457) .
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Frequently Asked Questions on HCF of 6091, 3457 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 6091, 3457?
Answer: HCF of 6091, 3457 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6091, 3457 using Euclid's Algorithm?
Answer: For arbitrary numbers 6091, 3457 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.