Highest Common Factor of 5318, 3971 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 5318, 3971 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5318, 3971 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 5318, 3971 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 5318, 3971 is 1.
HCF(5318, 3971) = 1
HCF of 5318, 3971 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5318, 3971 is 1.
Highest Common Factor of 5318,3971 is 1
Step 1: Since 5318 > 3971, we apply the division lemma to 5318 and 3971, to get
5318 = 3971 x 1 + 1347
Step 2: Since the reminder 3971 ≠ 0, we apply division lemma to 1347 and 3971, to get
3971 = 1347 x 2 + 1277
Step 3: We consider the new divisor 1347 and the new remainder 1277, and apply the division lemma to get
1347 = 1277 x 1 + 70
We consider the new divisor 1277 and the new remainder 70,and apply the division lemma to get
1277 = 70 x 18 + 17
We consider the new divisor 70 and the new remainder 17,and apply the division lemma to get
70 = 17 x 4 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 5318 and 3971 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(70,17) = HCF(1277,70) = HCF(1347,1277) = HCF(3971,1347) = HCF(5318,3971) .
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Frequently Asked Questions on HCF of 5318, 3971 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 5318, 3971?
Answer: HCF of 5318, 3971 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5318, 3971 using Euclid's Algorithm?
Answer: For arbitrary numbers 5318, 3971 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.