Highest Common Factor of 686, 959 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, 959 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 686, 959 is 7 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, 959 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, 959 is 7.
HCF(686, 959) = 7
HCF of 686, 959 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, 959 is 7.
Highest Common Factor of 686,959 is 7
Step 1: Since 959 > 686, we apply the division lemma to 959 and 686, to get
959 = 686 x 1 + 273
Step 2: Since the reminder 686 ≠ 0, we apply division lemma to 273 and 686, to get
686 = 273 x 2 + 140
Step 3: We consider the new divisor 273 and the new remainder 140, and apply the division lemma to get
273 = 140 x 1 + 133
We consider the new divisor 140 and the new remainder 133,and apply the division lemma to get
140 = 133 x 1 + 7
We consider the new divisor 133 and the new remainder 7,and apply the division lemma to get
133 = 7 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 686 and 959 is 7
Notice that 7 = HCF(133,7) = HCF(140,133) = HCF(273,140) = HCF(686,273) = HCF(959,686) .
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Frequently Asked Questions on HCF of 686, 959 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, 959?
Answer: HCF of 686, 959 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 686, 959 using Euclid's Algorithm?
Answer: For arbitrary numbers 686, 959 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.