Highest Common Factor of 675, 979 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 675, 979 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 675, 979 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 675, 979 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 675, 979 is 1.
HCF(675, 979) = 1
HCF of 675, 979 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 675, 979 is 1.
Highest Common Factor of 675,979 is 1
Step 1: Since 979 > 675, we apply the division lemma to 979 and 675, to get
979 = 675 x 1 + 304
Step 2: Since the reminder 675 ≠ 0, we apply division lemma to 304 and 675, to get
675 = 304 x 2 + 67
Step 3: We consider the new divisor 304 and the new remainder 67, and apply the division lemma to get
304 = 67 x 4 + 36
We consider the new divisor 67 and the new remainder 36,and apply the division lemma to get
67 = 36 x 1 + 31
We consider the new divisor 36 and the new remainder 31,and apply the division lemma to get
36 = 31 x 1 + 5
We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get
31 = 5 x 6 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 675 and 979 is 1
Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(36,31) = HCF(67,36) = HCF(304,67) = HCF(675,304) = HCF(979,675) .
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Frequently Asked Questions on HCF of 675, 979 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 675, 979?
Answer: HCF of 675, 979 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 675, 979 using Euclid's Algorithm?
Answer: For arbitrary numbers 675, 979 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
