Highest Common Factor of 674, 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 674, 951 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 674, 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 674, 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 674, 951 is 1.
HCF(674, 951) = 1
HCF of 674, 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 674, 951 is 1.
Highest Common Factor of 674,951 is 1
Step 1: Since 951 > 674, we apply the division lemma to 951 and 674, to get
951 = 674 x 1 + 277
Step 2: Since the reminder 674 ≠ 0, we apply division lemma to 277 and 674, to get
674 = 277 x 2 + 120
Step 3: We consider the new divisor 277 and the new remainder 120, and apply the division lemma to get
277 = 120 x 2 + 37
We consider the new divisor 120 and the new remainder 37,and apply the division lemma to get
120 = 37 x 3 + 9
We consider the new divisor 37 and the new remainder 9,and apply the division lemma to get
37 = 9 x 4 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 674 and 951 is 1
Notice that 1 = HCF(9,1) = HCF(37,9) = HCF(120,37) = HCF(277,120) = HCF(674,277) = HCF(951,674) .
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Frequently Asked Questions on HCF of 674, 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 674, 951?
Answer: HCF of 674, 951 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 674, 951 using Euclid's Algorithm?
Answer: For arbitrary numbers 674, 951 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.