Highest Common Factor of 5122, 6197 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 5122, 6197 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5122, 6197 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 5122, 6197 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 5122, 6197 is 1.
HCF(5122, 6197) = 1
HCF of 5122, 6197 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5122, 6197 is 1.
Highest Common Factor of 5122,6197 is 1
Step 1: Since 6197 > 5122, we apply the division lemma to 6197 and 5122, to get
6197 = 5122 x 1 + 1075
Step 2: Since the reminder 5122 ≠ 0, we apply division lemma to 1075 and 5122, to get
5122 = 1075 x 4 + 822
Step 3: We consider the new divisor 1075 and the new remainder 822, and apply the division lemma to get
1075 = 822 x 1 + 253
We consider the new divisor 822 and the new remainder 253,and apply the division lemma to get
822 = 253 x 3 + 63
We consider the new divisor 253 and the new remainder 63,and apply the division lemma to get
253 = 63 x 4 + 1
We consider the new divisor 63 and the new remainder 1,and apply the division lemma to get
63 = 1 x 63 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5122 and 6197 is 1
Notice that 1 = HCF(63,1) = HCF(253,63) = HCF(822,253) = HCF(1075,822) = HCF(5122,1075) = HCF(6197,5122) .
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Frequently Asked Questions on HCF of 5122, 6197 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 5122, 6197?
Answer: HCF of 5122, 6197 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5122, 6197 using Euclid's Algorithm?
Answer: For arbitrary numbers 5122, 6197 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.