Highest Common Factor of 967, 687 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 967, 687 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 967, 687 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 967, 687 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 967, 687 is 1.
HCF(967, 687) = 1
HCF of 967, 687 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 967, 687 is 1.
Highest Common Factor of 967,687 is 1
Step 1: Since 967 > 687, we apply the division lemma to 967 and 687, to get
967 = 687 x 1 + 280
Step 2: Since the reminder 687 ≠ 0, we apply division lemma to 280 and 687, to get
687 = 280 x 2 + 127
Step 3: We consider the new divisor 280 and the new remainder 127, and apply the division lemma to get
280 = 127 x 2 + 26
We consider the new divisor 127 and the new remainder 26,and apply the division lemma to get
127 = 26 x 4 + 23
We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get
26 = 23 x 1 + 3
We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get
23 = 3 x 7 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 967 and 687 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(127,26) = HCF(280,127) = HCF(687,280) = HCF(967,687) .
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Frequently Asked Questions on HCF of 967, 687 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 967, 687?
Answer: HCF of 967, 687 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 967, 687 using Euclid's Algorithm?
Answer: For arbitrary numbers 967, 687 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.