Highest Common Factor of 5847, 4716 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 5847, 4716 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5847, 4716 is 3 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 5847, 4716 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 5847, 4716 is 3.
HCF(5847, 4716) = 3
HCF of 5847, 4716 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5847, 4716 is 3.
Highest Common Factor of 5847,4716 is 3
Step 1: Since 5847 > 4716, we apply the division lemma to 5847 and 4716, to get
5847 = 4716 x 1 + 1131
Step 2: Since the reminder 4716 ≠ 0, we apply division lemma to 1131 and 4716, to get
4716 = 1131 x 4 + 192
Step 3: We consider the new divisor 1131 and the new remainder 192, and apply the division lemma to get
1131 = 192 x 5 + 171
We consider the new divisor 192 and the new remainder 171,and apply the division lemma to get
192 = 171 x 1 + 21
We consider the new divisor 171 and the new remainder 21,and apply the division lemma to get
171 = 21 x 8 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5847 and 4716 is 3
Notice that 3 = HCF(21,3) = HCF(171,21) = HCF(192,171) = HCF(1131,192) = HCF(4716,1131) = HCF(5847,4716) .
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Frequently Asked Questions on HCF of 5847, 4716 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 5847, 4716?
Answer: HCF of 5847, 4716 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5847, 4716 using Euclid's Algorithm?
Answer: For arbitrary numbers 5847, 4716 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
