Highest Common Factor of 686, 951 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 686, 951 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 686, 951 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 686, 951 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 686, 951 is 1.
HCF(686, 951) = 1
HCF of 686, 951 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 686, 951 is 1.
Highest Common Factor of 686,951 is 1
Step 1: Since 951 > 686, we apply the division lemma to 951 and 686, to get
951 = 686 x 1 + 265
Step 2: Since the reminder 686 ≠ 0, we apply division lemma to 265 and 686, to get
686 = 265 x 2 + 156
Step 3: We consider the new divisor 265 and the new remainder 156, and apply the division lemma to get
265 = 156 x 1 + 109
We consider the new divisor 156 and the new remainder 109,and apply the division lemma to get
156 = 109 x 1 + 47
We consider the new divisor 109 and the new remainder 47,and apply the division lemma to get
109 = 47 x 2 + 15
We consider the new divisor 47 and the new remainder 15,and apply the division lemma to get
47 = 15 x 3 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 686 and 951 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(47,15) = HCF(109,47) = HCF(156,109) = HCF(265,156) = HCF(686,265) = HCF(951,686) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 686, 951 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 686, 951?
Answer: HCF of 686, 951 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 686, 951 using Euclid's Algorithm?
Answer: For arbitrary numbers 686, 951 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
