Highest Common Factor of 4647, 5614 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 4647, 5614 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4647, 5614 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 4647, 5614 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 4647, 5614 is 1.
HCF(4647, 5614) = 1
HCF of 4647, 5614 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4647, 5614 is 1.
Highest Common Factor of 4647,5614 is 1
Step 1: Since 5614 > 4647, we apply the division lemma to 5614 and 4647, to get
5614 = 4647 x 1 + 967
Step 2: Since the reminder 4647 ≠ 0, we apply division lemma to 967 and 4647, to get
4647 = 967 x 4 + 779
Step 3: We consider the new divisor 967 and the new remainder 779, and apply the division lemma to get
967 = 779 x 1 + 188
We consider the new divisor 779 and the new remainder 188,and apply the division lemma to get
779 = 188 x 4 + 27
We consider the new divisor 188 and the new remainder 27,and apply the division lemma to get
188 = 27 x 6 + 26
We consider the new divisor 27 and the new remainder 26,and apply the division lemma to get
27 = 26 x 1 + 1
We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4647 and 5614 is 1
Notice that 1 = HCF(26,1) = HCF(27,26) = HCF(188,27) = HCF(779,188) = HCF(967,779) = HCF(4647,967) = HCF(5614,4647) .
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Frequently Asked Questions on HCF of 4647, 5614 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 4647, 5614?
Answer: HCF of 4647, 5614 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4647, 5614 using Euclid's Algorithm?
Answer: For arbitrary numbers 4647, 5614 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.