Highest Common Factor of 763, 8957 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 763, 8957 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 763, 8957 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 763, 8957 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 763, 8957 is 1.
HCF(763, 8957) = 1
HCF of 763, 8957 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 763, 8957 is 1.
Highest Common Factor of 763,8957 is 1
Step 1: Since 8957 > 763, we apply the division lemma to 8957 and 763, to get
8957 = 763 x 11 + 564
Step 2: Since the reminder 763 ≠ 0, we apply division lemma to 564 and 763, to get
763 = 564 x 1 + 199
Step 3: We consider the new divisor 564 and the new remainder 199, and apply the division lemma to get
564 = 199 x 2 + 166
We consider the new divisor 199 and the new remainder 166,and apply the division lemma to get
199 = 166 x 1 + 33
We consider the new divisor 166 and the new remainder 33,and apply the division lemma to get
166 = 33 x 5 + 1
We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 763 and 8957 is 1
Notice that 1 = HCF(33,1) = HCF(166,33) = HCF(199,166) = HCF(564,199) = HCF(763,564) = HCF(8957,763) .
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Frequently Asked Questions on HCF of 763, 8957 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 763, 8957?
Answer: HCF of 763, 8957 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 763, 8957 using Euclid's Algorithm?
Answer: For arbitrary numbers 763, 8957 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
