Highest Common Factor of 8715, 8051 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, 8051 i.e. 83 the largest integer that leaves a remainder zero for all numbers.
HCF of 8715, 8051 is 83 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, 8051 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, 8051 is 83.
HCF(8715, 8051) = 83
HCF of 8715, 8051 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, 8051 is 83.
Highest Common Factor of 8715,8051 is 83
Step 1: Since 8715 > 8051, we apply the division lemma to 8715 and 8051, to get
8715 = 8051 x 1 + 664
Step 2: Since the reminder 8051 ≠ 0, we apply division lemma to 664 and 8051, to get
8051 = 664 x 12 + 83
Step 3: We consider the new divisor 664 and the new remainder 83, and apply the division lemma to get
664 = 83 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 83, the HCF of 8715 and 8051 is 83
Notice that 83 = HCF(664,83) = HCF(8051,664) = HCF(8715,8051) .
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Frequently Asked Questions on HCF of 8715, 8051 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, 8051?
Answer: HCF of 8715, 8051 is 83 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8715, 8051 using Euclid's Algorithm?
Answer: For arbitrary numbers 8715, 8051 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.