Highest Common Factor of 317, 4942 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 317, 4942 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 317, 4942 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 317, 4942 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 317, 4942 is 1.
HCF(317, 4942) = 1
HCF of 317, 4942 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 317, 4942 is 1.
Highest Common Factor of 317,4942 is 1
Step 1: Since 4942 > 317, we apply the division lemma to 4942 and 317, to get
4942 = 317 x 15 + 187
Step 2: Since the reminder 317 ≠ 0, we apply division lemma to 187 and 317, to get
317 = 187 x 1 + 130
Step 3: We consider the new divisor 187 and the new remainder 130, and apply the division lemma to get
187 = 130 x 1 + 57
We consider the new divisor 130 and the new remainder 57,and apply the division lemma to get
130 = 57 x 2 + 16
We consider the new divisor 57 and the new remainder 16,and apply the division lemma to get
57 = 16 x 3 + 9
We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get
16 = 9 x 1 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 317 and 4942 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(57,16) = HCF(130,57) = HCF(187,130) = HCF(317,187) = HCF(4942,317) .
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Frequently Asked Questions on HCF of 317, 4942 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 317, 4942?
Answer: HCF of 317, 4942 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 317, 4942 using Euclid's Algorithm?
Answer: For arbitrary numbers 317, 4942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
