Highest Common Factor of 5179, 4602 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 5179, 4602 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5179, 4602 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 5179, 4602 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 5179, 4602 is 1.
HCF(5179, 4602) = 1
HCF of 5179, 4602 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5179, 4602 is 1.
Highest Common Factor of 5179,4602 is 1
Step 1: Since 5179 > 4602, we apply the division lemma to 5179 and 4602, to get
5179 = 4602 x 1 + 577
Step 2: Since the reminder 4602 ≠ 0, we apply division lemma to 577 and 4602, to get
4602 = 577 x 7 + 563
Step 3: We consider the new divisor 577 and the new remainder 563, and apply the division lemma to get
577 = 563 x 1 + 14
We consider the new divisor 563 and the new remainder 14,and apply the division lemma to get
563 = 14 x 40 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 5179 and 4602 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(563,14) = HCF(577,563) = HCF(4602,577) = HCF(5179,4602) .
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Frequently Asked Questions on HCF of 5179, 4602 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 5179, 4602?
Answer: HCF of 5179, 4602 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5179, 4602 using Euclid's Algorithm?
Answer: For arbitrary numbers 5179, 4602 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
