Highest Common Factor of 4627, 5111 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 4627, 5111 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4627, 5111 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 4627, 5111 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 4627, 5111 is 1.
HCF(4627, 5111) = 1
HCF of 4627, 5111 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4627, 5111 is 1.
Highest Common Factor of 4627,5111 is 1
Step 1: Since 5111 > 4627, we apply the division lemma to 5111 and 4627, to get
5111 = 4627 x 1 + 484
Step 2: Since the reminder 4627 ≠ 0, we apply division lemma to 484 and 4627, to get
4627 = 484 x 9 + 271
Step 3: We consider the new divisor 484 and the new remainder 271, and apply the division lemma to get
484 = 271 x 1 + 213
We consider the new divisor 271 and the new remainder 213,and apply the division lemma to get
271 = 213 x 1 + 58
We consider the new divisor 213 and the new remainder 58,and apply the division lemma to get
213 = 58 x 3 + 39
We consider the new divisor 58 and the new remainder 39,and apply the division lemma to get
58 = 39 x 1 + 19
We consider the new divisor 39 and the new remainder 19,and apply the division lemma to get
39 = 19 x 2 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4627 and 5111 is 1
Notice that 1 = HCF(19,1) = HCF(39,19) = HCF(58,39) = HCF(213,58) = HCF(271,213) = HCF(484,271) = HCF(4627,484) = HCF(5111,4627) .
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Frequently Asked Questions on HCF of 4627, 5111 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 4627, 5111?
Answer: HCF of 4627, 5111 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4627, 5111 using Euclid's Algorithm?
Answer: For arbitrary numbers 4627, 5111 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.