Highest Common Factor of 371, 629 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 371, 629 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 371, 629 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 371, 629 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 371, 629 is 1.
HCF(371, 629) = 1
HCF of 371, 629 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 371, 629 is 1.
Highest Common Factor of 371,629 is 1
Step 1: Since 629 > 371, we apply the division lemma to 629 and 371, to get
629 = 371 x 1 + 258
Step 2: Since the reminder 371 ≠ 0, we apply division lemma to 258 and 371, to get
371 = 258 x 1 + 113
Step 3: We consider the new divisor 258 and the new remainder 113, and apply the division lemma to get
258 = 113 x 2 + 32
We consider the new divisor 113 and the new remainder 32,and apply the division lemma to get
113 = 32 x 3 + 17
We consider the new divisor 32 and the new remainder 17,and apply the division lemma to get
32 = 17 x 1 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 371 and 629 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(32,17) = HCF(113,32) = HCF(258,113) = HCF(371,258) = HCF(629,371) .
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Frequently Asked Questions on HCF of 371, 629 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 371, 629?
Answer: HCF of 371, 629 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 371, 629 using Euclid's Algorithm?
Answer: For arbitrary numbers 371, 629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.