Highest Common Factor of 5466, 4887 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 5466, 4887 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5466, 4887 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 5466, 4887 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 5466, 4887 is 3.
HCF(5466, 4887) = 3
HCF of 5466, 4887 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5466, 4887 is 3.
Highest Common Factor of 5466,4887 is 3
Step 1: Since 5466 > 4887, we apply the division lemma to 5466 and 4887, to get
5466 = 4887 x 1 + 579
Step 2: Since the reminder 4887 ≠ 0, we apply division lemma to 579 and 4887, to get
4887 = 579 x 8 + 255
Step 3: We consider the new divisor 579 and the new remainder 255, and apply the division lemma to get
579 = 255 x 2 + 69
We consider the new divisor 255 and the new remainder 69,and apply the division lemma to get
255 = 69 x 3 + 48
We consider the new divisor 69 and the new remainder 48,and apply the division lemma to get
69 = 48 x 1 + 21
We consider the new divisor 48 and the new remainder 21,and apply the division lemma to get
48 = 21 x 2 + 6
We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get
21 = 6 x 3 + 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 5466 and 4887 is 3
Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(48,21) = HCF(69,48) = HCF(255,69) = HCF(579,255) = HCF(4887,579) = HCF(5466,4887) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5466, 4887 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 5466, 4887?
Answer: HCF of 5466, 4887 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5466, 4887 using Euclid's Algorithm?
Answer: For arbitrary numbers 5466, 4887 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.