Highest Common Factor of 9628, 4858 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 9628, 4858 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9628, 4858 is 2 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 9628, 4858 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 9628, 4858 is 2.
HCF(9628, 4858) = 2
HCF of 9628, 4858 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9628, 4858 is 2.
Highest Common Factor of 9628,4858 is 2
Step 1: Since 9628 > 4858, we apply the division lemma to 9628 and 4858, to get
9628 = 4858 x 1 + 4770
Step 2: Since the reminder 4858 ≠ 0, we apply division lemma to 4770 and 4858, to get
4858 = 4770 x 1 + 88
Step 3: We consider the new divisor 4770 and the new remainder 88, and apply the division lemma to get
4770 = 88 x 54 + 18
We consider the new divisor 88 and the new remainder 18,and apply the division lemma to get
88 = 18 x 4 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9628 and 4858 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(88,18) = HCF(4770,88) = HCF(4858,4770) = HCF(9628,4858) .
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Frequently Asked Questions on HCF of 9628, 4858 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 9628, 4858?
Answer: HCF of 9628, 4858 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9628, 4858 using Euclid's Algorithm?
Answer: For arbitrary numbers 9628, 4858 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.