Highest Common Factor of 676, 987 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 676, 987 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 676, 987 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 676, 987 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 676, 987 is 1.
HCF(676, 987) = 1
HCF of 676, 987 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 676, 987 is 1.
Highest Common Factor of 676,987 is 1
Step 1: Since 987 > 676, we apply the division lemma to 987 and 676, to get
987 = 676 x 1 + 311
Step 2: Since the reminder 676 ≠ 0, we apply division lemma to 311 and 676, to get
676 = 311 x 2 + 54
Step 3: We consider the new divisor 311 and the new remainder 54, and apply the division lemma to get
311 = 54 x 5 + 41
We consider the new divisor 54 and the new remainder 41,and apply the division lemma to get
54 = 41 x 1 + 13
We consider the new divisor 41 and the new remainder 13,and apply the division lemma to get
41 = 13 x 3 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 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 676 and 987 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(41,13) = HCF(54,41) = HCF(311,54) = HCF(676,311) = HCF(987,676) .
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Frequently Asked Questions on HCF of 676, 987 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 676, 987?
Answer: HCF of 676, 987 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 676, 987 using Euclid's Algorithm?
Answer: For arbitrary numbers 676, 987 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.