Highest Common Factor of 6137, 6558 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 6137, 6558 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6137, 6558 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 6137, 6558 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 6137, 6558 is 1.
HCF(6137, 6558) = 1
HCF of 6137, 6558 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6137, 6558 is 1.
Highest Common Factor of 6137,6558 is 1
Step 1: Since 6558 > 6137, we apply the division lemma to 6558 and 6137, to get
6558 = 6137 x 1 + 421
Step 2: Since the reminder 6137 ≠ 0, we apply division lemma to 421 and 6137, to get
6137 = 421 x 14 + 243
Step 3: We consider the new divisor 421 and the new remainder 243, and apply the division lemma to get
421 = 243 x 1 + 178
We consider the new divisor 243 and the new remainder 178,and apply the division lemma to get
243 = 178 x 1 + 65
We consider the new divisor 178 and the new remainder 65,and apply the division lemma to get
178 = 65 x 2 + 48
We consider the new divisor 65 and the new remainder 48,and apply the division lemma to get
65 = 48 x 1 + 17
We consider the new divisor 48 and the new remainder 17,and apply the division lemma to get
48 = 17 x 2 + 14
We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get
17 = 14 x 1 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 6137 and 6558 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(48,17) = HCF(65,48) = HCF(178,65) = HCF(243,178) = HCF(421,243) = HCF(6137,421) = HCF(6558,6137) .
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Frequently Asked Questions on HCF of 6137, 6558 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 6137, 6558?
Answer: HCF of 6137, 6558 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6137, 6558 using Euclid's Algorithm?
Answer: For arbitrary numbers 6137, 6558 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.