Highest Common Factor of 8715, 4695 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 8715, 4695 i.e. 15 the largest integer that leaves a remainder zero for all numbers.
HCF of 8715, 4695 is 15 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 8715, 4695 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 8715, 4695 is 15.
HCF(8715, 4695) = 15
HCF of 8715, 4695 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8715, 4695 is 15.
Highest Common Factor of 8715,4695 is 15
Step 1: Since 8715 > 4695, we apply the division lemma to 8715 and 4695, to get
8715 = 4695 x 1 + 4020
Step 2: Since the reminder 4695 ≠ 0, we apply division lemma to 4020 and 4695, to get
4695 = 4020 x 1 + 675
Step 3: We consider the new divisor 4020 and the new remainder 675, and apply the division lemma to get
4020 = 675 x 5 + 645
We consider the new divisor 675 and the new remainder 645,and apply the division lemma to get
675 = 645 x 1 + 30
We consider the new divisor 645 and the new remainder 30,and apply the division lemma to get
645 = 30 x 21 + 15
We consider the new divisor 30 and the new remainder 15,and apply the division lemma to get
30 = 15 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 8715 and 4695 is 15
Notice that 15 = HCF(30,15) = HCF(645,30) = HCF(675,645) = HCF(4020,675) = HCF(4695,4020) = HCF(8715,4695) .
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Frequently Asked Questions on HCF of 8715, 4695 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 8715, 4695?
Answer: HCF of 8715, 4695 is 15 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8715, 4695 using Euclid's Algorithm?
Answer: For arbitrary numbers 8715, 4695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.