Highest Common Factor of 6896, 4741 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 6896, 4741 i.e. 431 the largest integer that leaves a remainder zero for all numbers.
HCF of 6896, 4741 is 431 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 6896, 4741 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 6896, 4741 is 431.
HCF(6896, 4741) = 431
HCF of 6896, 4741 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6896, 4741 is 431.
Highest Common Factor of 6896,4741 is 431
Step 1: Since 6896 > 4741, we apply the division lemma to 6896 and 4741, to get
6896 = 4741 x 1 + 2155
Step 2: Since the reminder 4741 ≠ 0, we apply division lemma to 2155 and 4741, to get
4741 = 2155 x 2 + 431
Step 3: We consider the new divisor 2155 and the new remainder 431, and apply the division lemma to get
2155 = 431 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 431, the HCF of 6896 and 4741 is 431
Notice that 431 = HCF(2155,431) = HCF(4741,2155) = HCF(6896,4741) .
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Frequently Asked Questions on HCF of 6896, 4741 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 6896, 4741?
Answer: HCF of 6896, 4741 is 431 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6896, 4741 using Euclid's Algorithm?
Answer: For arbitrary numbers 6896, 4741 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.