Highest Common Factor of 625, 465, 938, 512 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 625, 465, 938, 512 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 625, 465, 938, 512 is 1 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 625, 465, 938, 512 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 625, 465, 938, 512 is 1.

HCF(625, 465, 938, 512) = 1

HCF of 625, 465, 938, 512 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 625, 465, 938, 512 is 1.

Highest Common Factor of 625,465,938,512 using Euclid's algorithm

Highest Common Factor of 625,465,938,512 is 1

Step 1: Since 625 > 465, we apply the division lemma to 625 and 465, to get

625 = 465 x 1 + 160

Step 2: Since the reminder 465 ≠ 0, we apply division lemma to 160 and 465, to get

465 = 160 x 2 + 145

Step 3: We consider the new divisor 160 and the new remainder 145, and apply the division lemma to get

160 = 145 x 1 + 15

We consider the new divisor 145 and the new remainder 15,and apply the division lemma to get

145 = 15 x 9 + 10

We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get

15 = 10 x 1 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 625 and 465 is 5

Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(145,15) = HCF(160,145) = HCF(465,160) = HCF(625,465) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 938 > 5, we apply the division lemma to 938 and 5, to get

938 = 5 x 187 + 3

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get

5 = 3 x 1 + 2

Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 938 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(938,5) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 512 > 1, we apply the division lemma to 512 and 1, to get

512 = 1 x 512 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 512 is 1

Notice that 1 = HCF(512,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 625, 465, 938, 512 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 625, 465, 938, 512?

Answer: HCF of 625, 465, 938, 512 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 625, 465, 938, 512 using Euclid's Algorithm?

Answer: For arbitrary numbers 625, 465, 938, 512 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.