Highest Common Factor of 572, 7370 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 572, 7370 i.e. 22 the largest integer that leaves a remainder zero for all numbers.
HCF of 572, 7370 is 22 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 572, 7370 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 572, 7370 is 22.
HCF(572, 7370) = 22
HCF of 572, 7370 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 572, 7370 is 22.
Highest Common Factor of 572,7370 is 22
Step 1: Since 7370 > 572, we apply the division lemma to 7370 and 572, to get
7370 = 572 x 12 + 506
Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 506 and 572, to get
572 = 506 x 1 + 66
Step 3: We consider the new divisor 506 and the new remainder 66, and apply the division lemma to get
506 = 66 x 7 + 44
We consider the new divisor 66 and the new remainder 44,and apply the division lemma to get
66 = 44 x 1 + 22
We consider the new divisor 44 and the new remainder 22,and apply the division lemma to get
44 = 22 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 572 and 7370 is 22
Notice that 22 = HCF(44,22) = HCF(66,44) = HCF(506,66) = HCF(572,506) = HCF(7370,572) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 572, 7370 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 572, 7370?
Answer: HCF of 572, 7370 is 22 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 572, 7370 using Euclid's Algorithm?
Answer: For arbitrary numbers 572, 7370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.