Highest Common Factor of 8714, 645 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 8714, 645 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8714, 645 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 8714, 645 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 8714, 645 is 1.
HCF(8714, 645) = 1
HCF of 8714, 645 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8714, 645 is 1.
Highest Common Factor of 8714,645 is 1
Step 1: Since 8714 > 645, we apply the division lemma to 8714 and 645, to get
8714 = 645 x 13 + 329
Step 2: Since the reminder 645 ≠ 0, we apply division lemma to 329 and 645, to get
645 = 329 x 1 + 316
Step 3: We consider the new divisor 329 and the new remainder 316, and apply the division lemma to get
329 = 316 x 1 + 13
We consider the new divisor 316 and the new remainder 13,and apply the division lemma to get
316 = 13 x 24 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8714 and 645 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(316,13) = HCF(329,316) = HCF(645,329) = HCF(8714,645) .
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Frequently Asked Questions on HCF of 8714, 645 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 8714, 645?
Answer: HCF of 8714, 645 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8714, 645 using Euclid's Algorithm?
Answer: For arbitrary numbers 8714, 645 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.