Highest Common Factor of 8957, 6776 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 8957, 6776 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8957, 6776 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 8957, 6776 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 8957, 6776 is 1.
HCF(8957, 6776) = 1
HCF of 8957, 6776 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8957, 6776 is 1.
Highest Common Factor of 8957,6776 is 1
Step 1: Since 8957 > 6776, we apply the division lemma to 8957 and 6776, to get
8957 = 6776 x 1 + 2181
Step 2: Since the reminder 6776 ≠ 0, we apply division lemma to 2181 and 6776, to get
6776 = 2181 x 3 + 233
Step 3: We consider the new divisor 2181 and the new remainder 233, and apply the division lemma to get
2181 = 233 x 9 + 84
We consider the new divisor 233 and the new remainder 84,and apply the division lemma to get
233 = 84 x 2 + 65
We consider the new divisor 84 and the new remainder 65,and apply the division lemma to get
84 = 65 x 1 + 19
We consider the new divisor 65 and the new remainder 19,and apply the division lemma to get
65 = 19 x 3 + 8
We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get
19 = 8 x 2 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8957 and 6776 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(65,19) = HCF(84,65) = HCF(233,84) = HCF(2181,233) = HCF(6776,2181) = HCF(8957,6776) .
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Frequently Asked Questions on HCF of 8957, 6776 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 8957, 6776?
Answer: HCF of 8957, 6776 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8957, 6776 using Euclid's Algorithm?
Answer: For arbitrary numbers 8957, 6776 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.