Highest Common Factor of 8691, 6575 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 8691, 6575 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8691, 6575 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 8691, 6575 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 8691, 6575 is 1.
HCF(8691, 6575) = 1
HCF of 8691, 6575 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8691, 6575 is 1.
Highest Common Factor of 8691,6575 is 1
Step 1: Since 8691 > 6575, we apply the division lemma to 8691 and 6575, to get
8691 = 6575 x 1 + 2116
Step 2: Since the reminder 6575 ≠ 0, we apply division lemma to 2116 and 6575, to get
6575 = 2116 x 3 + 227
Step 3: We consider the new divisor 2116 and the new remainder 227, and apply the division lemma to get
2116 = 227 x 9 + 73
We consider the new divisor 227 and the new remainder 73,and apply the division lemma to get
227 = 73 x 3 + 8
We consider the new divisor 73 and the new remainder 8,and apply the division lemma to get
73 = 8 x 9 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8691 and 6575 is 1
Notice that 1 = HCF(8,1) = HCF(73,8) = HCF(227,73) = HCF(2116,227) = HCF(6575,2116) = HCF(8691,6575) .
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Frequently Asked Questions on HCF of 8691, 6575 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 8691, 6575?
Answer: HCF of 8691, 6575 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8691, 6575 using Euclid's Algorithm?
Answer: For arbitrary numbers 8691, 6575 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.