Highest Common Factor of 4620, 6376 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 4620, 6376 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4620, 6376 is 4 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 4620, 6376 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 4620, 6376 is 4.
HCF(4620, 6376) = 4
HCF of 4620, 6376 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4620, 6376 is 4.
Highest Common Factor of 4620,6376 is 4
Step 1: Since 6376 > 4620, we apply the division lemma to 6376 and 4620, to get
6376 = 4620 x 1 + 1756
Step 2: Since the reminder 4620 ≠ 0, we apply division lemma to 1756 and 4620, to get
4620 = 1756 x 2 + 1108
Step 3: We consider the new divisor 1756 and the new remainder 1108, and apply the division lemma to get
1756 = 1108 x 1 + 648
We consider the new divisor 1108 and the new remainder 648,and apply the division lemma to get
1108 = 648 x 1 + 460
We consider the new divisor 648 and the new remainder 460,and apply the division lemma to get
648 = 460 x 1 + 188
We consider the new divisor 460 and the new remainder 188,and apply the division lemma to get
460 = 188 x 2 + 84
We consider the new divisor 188 and the new remainder 84,and apply the division lemma to get
188 = 84 x 2 + 20
We consider the new divisor 84 and the new remainder 20,and apply the division lemma to get
84 = 20 x 4 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4620 and 6376 is 4
Notice that 4 = HCF(20,4) = HCF(84,20) = HCF(188,84) = HCF(460,188) = HCF(648,460) = HCF(1108,648) = HCF(1756,1108) = HCF(4620,1756) = HCF(6376,4620) .
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Frequently Asked Questions on HCF of 4620, 6376 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 4620, 6376?
Answer: HCF of 4620, 6376 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4620, 6376 using Euclid's Algorithm?
Answer: For arbitrary numbers 4620, 6376 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.