Highest Common Factor of 925, 494, 963, 538 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 925, 494, 963, 538 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 925, 494, 963, 538 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 925, 494, 963, 538 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 925, 494, 963, 538 is 1.

HCF(925, 494, 963, 538) = 1

HCF of 925, 494, 963, 538 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 925, 494, 963, 538 is 1.

Highest Common Factor of 925,494,963,538 using Euclid's algorithm

Highest Common Factor of 925,494,963,538 is 1

Step 1: Since 925 > 494, we apply the division lemma to 925 and 494, to get

925 = 494 x 1 + 431

Step 2: Since the reminder 494 ≠ 0, we apply division lemma to 431 and 494, to get

494 = 431 x 1 + 63

Step 3: We consider the new divisor 431 and the new remainder 63, and apply the division lemma to get

431 = 63 x 6 + 53

We consider the new divisor 63 and the new remainder 53,and apply the division lemma to get

63 = 53 x 1 + 10

We consider the new divisor 53 and the new remainder 10,and apply the division lemma to get

53 = 10 x 5 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 925 and 494 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(53,10) = HCF(63,53) = HCF(431,63) = HCF(494,431) = HCF(925,494) .

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

Step 1: Since 963 > 1, we apply the division lemma to 963 and 1, to get

963 = 1 x 963 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 963 is 1

Notice that 1 = HCF(963,1) .

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

Step 1: Since 538 > 1, we apply the division lemma to 538 and 1, to get

538 = 1 x 538 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 538 is 1

Notice that 1 = HCF(538,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 925, 494, 963, 538 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 925, 494, 963, 538?

Answer: HCF of 925, 494, 963, 538 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 925, 494, 963, 538 using Euclid's Algorithm?

Answer: For arbitrary numbers 925, 494, 963, 538 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.