Highest Common Factor of 331, 922, 687 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 331, 922, 687 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 331, 922, 687 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 331, 922, 687 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 331, 922, 687 is 1.

HCF(331, 922, 687) = 1

HCF of 331, 922, 687 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 331, 922, 687 is 1.

Highest Common Factor of 331,922,687 using Euclid's algorithm

Highest Common Factor of 331,922,687 is 1

Step 1: Since 922 > 331, we apply the division lemma to 922 and 331, to get

922 = 331 x 2 + 260

Step 2: Since the reminder 331 ≠ 0, we apply division lemma to 260 and 331, to get

331 = 260 x 1 + 71

Step 3: We consider the new divisor 260 and the new remainder 71, and apply the division lemma to get

260 = 71 x 3 + 47

We consider the new divisor 71 and the new remainder 47,and apply the division lemma to get

71 = 47 x 1 + 24

We consider the new divisor 47 and the new remainder 24,and apply the division lemma to get

47 = 24 x 1 + 23

We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get

24 = 23 x 1 + 1

We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get

23 = 1 x 23 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 331 and 922 is 1

Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(47,24) = HCF(71,47) = HCF(260,71) = HCF(331,260) = HCF(922,331) .

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

Step 1: Since 687 > 1, we apply the division lemma to 687 and 1, to get

687 = 1 x 687 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 687 is 1

Notice that 1 = HCF(687,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 331, 922, 687 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 331, 922, 687?

Answer: HCF of 331, 922, 687 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 331, 922, 687 using Euclid's Algorithm?

Answer: For arbitrary numbers 331, 922, 687 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.