Highest Common Factor of 5625, 582 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 5625, 582 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5625, 582 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 5625, 582 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 5625, 582 is 3.
HCF(5625, 582) = 3
HCF of 5625, 582 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5625, 582 is 3.
Highest Common Factor of 5625,582 is 3
Step 1: Since 5625 > 582, we apply the division lemma to 5625 and 582, to get
5625 = 582 x 9 + 387
Step 2: Since the reminder 582 ≠ 0, we apply division lemma to 387 and 582, to get
582 = 387 x 1 + 195
Step 3: We consider the new divisor 387 and the new remainder 195, and apply the division lemma to get
387 = 195 x 1 + 192
We consider the new divisor 195 and the new remainder 192,and apply the division lemma to get
195 = 192 x 1 + 3
We consider the new divisor 192 and the new remainder 3,and apply the division lemma to get
192 = 3 x 64 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5625 and 582 is 3
Notice that 3 = HCF(192,3) = HCF(195,192) = HCF(387,195) = HCF(582,387) = HCF(5625,582) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5625, 582 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 5625, 582?
Answer: HCF of 5625, 582 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5625, 582 using Euclid's Algorithm?
Answer: For arbitrary numbers 5625, 582 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.