Highest Common Factor of 481, 925, 714 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 481, 925, 714 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 481, 925, 714 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 481, 925, 714 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 481, 925, 714 is 1.

HCF(481, 925, 714) = 1

HCF of 481, 925, 714 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 481, 925, 714 is 1.

Highest Common Factor of 481,925,714 using Euclid's algorithm

Highest Common Factor of 481,925,714 is 1

Step 1: Since 925 > 481, we apply the division lemma to 925 and 481, to get

925 = 481 x 1 + 444

Step 2: Since the reminder 481 ≠ 0, we apply division lemma to 444 and 481, to get

481 = 444 x 1 + 37

Step 3: We consider the new divisor 444 and the new remainder 37, and apply the division lemma to get

444 = 37 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 481 and 925 is 37

Notice that 37 = HCF(444,37) = HCF(481,444) = HCF(925,481) .


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

Step 1: Since 714 > 37, we apply the division lemma to 714 and 37, to get

714 = 37 x 19 + 11

Step 2: Since the reminder 37 ≠ 0, we apply division lemma to 11 and 37, to get

37 = 11 x 3 + 4

Step 3: We consider the new divisor 11 and the new remainder 4, and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 37 and 714 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(37,11) = HCF(714,37) .

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Frequently Asked Questions on HCF of 481, 925, 714 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 481, 925, 714?

Answer: HCF of 481, 925, 714 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 481, 925, 714 using Euclid's Algorithm?

Answer: For arbitrary numbers 481, 925, 714 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.