Highest Common Factor of 4917, 2658 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 4917, 2658 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4917, 2658 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 4917, 2658 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 4917, 2658 is 3.
HCF(4917, 2658) = 3
HCF of 4917, 2658 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4917, 2658 is 3.
Highest Common Factor of 4917,2658 is 3
Step 1: Since 4917 > 2658, we apply the division lemma to 4917 and 2658, to get
4917 = 2658 x 1 + 2259
Step 2: Since the reminder 2658 ≠ 0, we apply division lemma to 2259 and 2658, to get
2658 = 2259 x 1 + 399
Step 3: We consider the new divisor 2259 and the new remainder 399, and apply the division lemma to get
2259 = 399 x 5 + 264
We consider the new divisor 399 and the new remainder 264,and apply the division lemma to get
399 = 264 x 1 + 135
We consider the new divisor 264 and the new remainder 135,and apply the division lemma to get
264 = 135 x 1 + 129
We consider the new divisor 135 and the new remainder 129,and apply the division lemma to get
135 = 129 x 1 + 6
We consider the new divisor 129 and the new remainder 6,and apply the division lemma to get
129 = 6 x 21 + 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 4917 and 2658 is 3
Notice that 3 = HCF(6,3) = HCF(129,6) = HCF(135,129) = HCF(264,135) = HCF(399,264) = HCF(2259,399) = HCF(2658,2259) = HCF(4917,2658) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4917, 2658 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 4917, 2658?
Answer: HCF of 4917, 2658 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4917, 2658 using Euclid's Algorithm?
Answer: For arbitrary numbers 4917, 2658 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.