Highest Common Factor of 6284, 2957 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 6284, 2957 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6284, 2957 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 6284, 2957 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 6284, 2957 is 1.
HCF(6284, 2957) = 1
HCF of 6284, 2957 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6284, 2957 is 1.
Highest Common Factor of 6284,2957 is 1
Step 1: Since 6284 > 2957, we apply the division lemma to 6284 and 2957, to get
6284 = 2957 x 2 + 370
Step 2: Since the reminder 2957 ≠ 0, we apply division lemma to 370 and 2957, to get
2957 = 370 x 7 + 367
Step 3: We consider the new divisor 370 and the new remainder 367, and apply the division lemma to get
370 = 367 x 1 + 3
We consider the new divisor 367 and the new remainder 3,and apply the division lemma to get
367 = 3 x 122 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6284 and 2957 is 1
Notice that 1 = HCF(3,1) = HCF(367,3) = HCF(370,367) = HCF(2957,370) = HCF(6284,2957) .
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Frequently Asked Questions on HCF of 6284, 2957 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 6284, 2957?
Answer: HCF of 6284, 2957 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6284, 2957 using Euclid's Algorithm?
Answer: For arbitrary numbers 6284, 2957 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.