Highest Common Factor of 5315, 4713 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 5315, 4713 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5315, 4713 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 5315, 4713 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 5315, 4713 is 1.
HCF(5315, 4713) = 1
HCF of 5315, 4713 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5315, 4713 is 1.
Highest Common Factor of 5315,4713 is 1
Step 1: Since 5315 > 4713, we apply the division lemma to 5315 and 4713, to get
5315 = 4713 x 1 + 602
Step 2: Since the reminder 4713 ≠ 0, we apply division lemma to 602 and 4713, to get
4713 = 602 x 7 + 499
Step 3: We consider the new divisor 602 and the new remainder 499, and apply the division lemma to get
602 = 499 x 1 + 103
We consider the new divisor 499 and the new remainder 103,and apply the division lemma to get
499 = 103 x 4 + 87
We consider the new divisor 103 and the new remainder 87,and apply the division lemma to get
103 = 87 x 1 + 16
We consider the new divisor 87 and the new remainder 16,and apply the division lemma to get
87 = 16 x 5 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 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 5315 and 4713 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(87,16) = HCF(103,87) = HCF(499,103) = HCF(602,499) = HCF(4713,602) = HCF(5315,4713) .
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Frequently Asked Questions on HCF of 5315, 4713 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 5315, 4713?
Answer: HCF of 5315, 4713 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5315, 4713 using Euclid's Algorithm?
Answer: For arbitrary numbers 5315, 4713 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.