Highest Common Factor of 6164, 2615 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 6164, 2615 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6164, 2615 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 6164, 2615 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 6164, 2615 is 1.
HCF(6164, 2615) = 1
HCF of 6164, 2615 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6164, 2615 is 1.
Highest Common Factor of 6164,2615 is 1
Step 1: Since 6164 > 2615, we apply the division lemma to 6164 and 2615, to get
6164 = 2615 x 2 + 934
Step 2: Since the reminder 2615 ≠ 0, we apply division lemma to 934 and 2615, to get
2615 = 934 x 2 + 747
Step 3: We consider the new divisor 934 and the new remainder 747, and apply the division lemma to get
934 = 747 x 1 + 187
We consider the new divisor 747 and the new remainder 187,and apply the division lemma to get
747 = 187 x 3 + 186
We consider the new divisor 187 and the new remainder 186,and apply the division lemma to get
187 = 186 x 1 + 1
We consider the new divisor 186 and the new remainder 1,and apply the division lemma to get
186 = 1 x 186 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6164 and 2615 is 1
Notice that 1 = HCF(186,1) = HCF(187,186) = HCF(747,187) = HCF(934,747) = HCF(2615,934) = HCF(6164,2615) .
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Frequently Asked Questions on HCF of 6164, 2615 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 6164, 2615?
Answer: HCF of 6164, 2615 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6164, 2615 using Euclid's Algorithm?
Answer: For arbitrary numbers 6164, 2615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.