Highest Common Factor of 558, 2715 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 558, 2715 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 558, 2715 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 558, 2715 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 558, 2715 is 3.
HCF(558, 2715) = 3
HCF of 558, 2715 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 558, 2715 is 3.
Highest Common Factor of 558,2715 is 3
Step 1: Since 2715 > 558, we apply the division lemma to 2715 and 558, to get
2715 = 558 x 4 + 483
Step 2: Since the reminder 558 ≠ 0, we apply division lemma to 483 and 558, to get
558 = 483 x 1 + 75
Step 3: We consider the new divisor 483 and the new remainder 75, and apply the division lemma to get
483 = 75 x 6 + 33
We consider the new divisor 75 and the new remainder 33,and apply the division lemma to get
75 = 33 x 2 + 9
We consider the new divisor 33 and the new remainder 9,and apply the division lemma to get
33 = 9 x 3 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 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 558 and 2715 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(33,9) = HCF(75,33) = HCF(483,75) = HCF(558,483) = HCF(2715,558) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 558, 2715 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 558, 2715?
Answer: HCF of 558, 2715 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 558, 2715 using Euclid's Algorithm?
Answer: For arbitrary numbers 558, 2715 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.