Highest Common Factor of 4638, 9879 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 4638, 9879 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4638, 9879 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 4638, 9879 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 4638, 9879 is 3.
HCF(4638, 9879) = 3
HCF of 4638, 9879 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4638, 9879 is 3.
Highest Common Factor of 4638,9879 is 3
Step 1: Since 9879 > 4638, we apply the division lemma to 9879 and 4638, to get
9879 = 4638 x 2 + 603
Step 2: Since the reminder 4638 ≠ 0, we apply division lemma to 603 and 4638, to get
4638 = 603 x 7 + 417
Step 3: We consider the new divisor 603 and the new remainder 417, and apply the division lemma to get
603 = 417 x 1 + 186
We consider the new divisor 417 and the new remainder 186,and apply the division lemma to get
417 = 186 x 2 + 45
We consider the new divisor 186 and the new remainder 45,and apply the division lemma to get
186 = 45 x 4 + 6
We consider the new divisor 45 and the new remainder 6,and apply the division lemma to get
45 = 6 x 7 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4638 and 9879 is 3
Notice that 3 = HCF(6,3) = HCF(45,6) = HCF(186,45) = HCF(417,186) = HCF(603,417) = HCF(4638,603) = HCF(9879,4638) .
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Frequently Asked Questions on HCF of 4638, 9879 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 4638, 9879?
Answer: HCF of 4638, 9879 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4638, 9879 using Euclid's Algorithm?
Answer: For arbitrary numbers 4638, 9879 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.