Highest Common Factor of 4620, 8757 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, 8757 i.e. 21 the largest integer that leaves a remainder zero for all numbers.
HCF of 4620, 8757 is 21 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, 8757 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, 8757 is 21.
HCF(4620, 8757) = 21
HCF of 4620, 8757 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, 8757 is 21.
Highest Common Factor of 4620,8757 is 21
Step 1: Since 8757 > 4620, we apply the division lemma to 8757 and 4620, to get
8757 = 4620 x 1 + 4137
Step 2: Since the reminder 4620 ≠ 0, we apply division lemma to 4137 and 4620, to get
4620 = 4137 x 1 + 483
Step 3: We consider the new divisor 4137 and the new remainder 483, and apply the division lemma to get
4137 = 483 x 8 + 273
We consider the new divisor 483 and the new remainder 273,and apply the division lemma to get
483 = 273 x 1 + 210
We consider the new divisor 273 and the new remainder 210,and apply the division lemma to get
273 = 210 x 1 + 63
We consider the new divisor 210 and the new remainder 63,and apply the division lemma to get
210 = 63 x 3 + 21
We consider the new divisor 63 and the new remainder 21,and apply the division lemma to get
63 = 21 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 4620 and 8757 is 21
Notice that 21 = HCF(63,21) = HCF(210,63) = HCF(273,210) = HCF(483,273) = HCF(4137,483) = HCF(4620,4137) = HCF(8757,4620) .
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Frequently Asked Questions on HCF of 4620, 8757 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, 8757?
Answer: HCF of 4620, 8757 is 21 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4620, 8757 using Euclid's Algorithm?
Answer: For arbitrary numbers 4620, 8757 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
