Highest Common Factor of 6897, 5366 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 6897, 5366 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6897, 5366 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 6897, 5366 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 6897, 5366 is 1.
HCF(6897, 5366) = 1
HCF of 6897, 5366 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6897, 5366 is 1.
Highest Common Factor of 6897,5366 is 1
Step 1: Since 6897 > 5366, we apply the division lemma to 6897 and 5366, to get
6897 = 5366 x 1 + 1531
Step 2: Since the reminder 5366 ≠ 0, we apply division lemma to 1531 and 5366, to get
5366 = 1531 x 3 + 773
Step 3: We consider the new divisor 1531 and the new remainder 773, and apply the division lemma to get
1531 = 773 x 1 + 758
We consider the new divisor 773 and the new remainder 758,and apply the division lemma to get
773 = 758 x 1 + 15
We consider the new divisor 758 and the new remainder 15,and apply the division lemma to get
758 = 15 x 50 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6897 and 5366 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(758,15) = HCF(773,758) = HCF(1531,773) = HCF(5366,1531) = HCF(6897,5366) .
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Frequently Asked Questions on HCF of 6897, 5366 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 6897, 5366?
Answer: HCF of 6897, 5366 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6897, 5366 using Euclid's Algorithm?
Answer: For arbitrary numbers 6897, 5366 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.