Highest Common Factor of 1610, 6271 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 1610, 6271 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1610, 6271 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 1610, 6271 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 1610, 6271 is 1.
HCF(1610, 6271) = 1
HCF of 1610, 6271 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1610, 6271 is 1.
Highest Common Factor of 1610,6271 is 1
Step 1: Since 6271 > 1610, we apply the division lemma to 6271 and 1610, to get
6271 = 1610 x 3 + 1441
Step 2: Since the reminder 1610 ≠ 0, we apply division lemma to 1441 and 1610, to get
1610 = 1441 x 1 + 169
Step 3: We consider the new divisor 1441 and the new remainder 169, and apply the division lemma to get
1441 = 169 x 8 + 89
We consider the new divisor 169 and the new remainder 89,and apply the division lemma to get
169 = 89 x 1 + 80
We consider the new divisor 89 and the new remainder 80,and apply the division lemma to get
89 = 80 x 1 + 9
We consider the new divisor 80 and the new remainder 9,and apply the division lemma to get
80 = 9 x 8 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1610 and 6271 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(80,9) = HCF(89,80) = HCF(169,89) = HCF(1441,169) = HCF(1610,1441) = HCF(6271,1610) .
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Frequently Asked Questions on HCF of 1610, 6271 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 1610, 6271?
Answer: HCF of 1610, 6271 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1610, 6271 using Euclid's Algorithm?
Answer: For arbitrary numbers 1610, 6271 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
