Highest Common Factor of 2967, 6238 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 2967, 6238 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2967, 6238 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 2967, 6238 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 2967, 6238 is 1.
HCF(2967, 6238) = 1
HCF of 2967, 6238 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2967, 6238 is 1.
Highest Common Factor of 2967,6238 is 1
Step 1: Since 6238 > 2967, we apply the division lemma to 6238 and 2967, to get
6238 = 2967 x 2 + 304
Step 2: Since the reminder 2967 ≠ 0, we apply division lemma to 304 and 2967, to get
2967 = 304 x 9 + 231
Step 3: We consider the new divisor 304 and the new remainder 231, and apply the division lemma to get
304 = 231 x 1 + 73
We consider the new divisor 231 and the new remainder 73,and apply the division lemma to get
231 = 73 x 3 + 12
We consider the new divisor 73 and the new remainder 12,and apply the division lemma to get
73 = 12 x 6 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2967 and 6238 is 1
Notice that 1 = HCF(12,1) = HCF(73,12) = HCF(231,73) = HCF(304,231) = HCF(2967,304) = HCF(6238,2967) .
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Frequently Asked Questions on HCF of 2967, 6238 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 2967, 6238?
Answer: HCF of 2967, 6238 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2967, 6238 using Euclid's Algorithm?
Answer: For arbitrary numbers 2967, 6238 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.