Highest Common Factor of 743, 943, 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 743, 943, 687 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 743, 943, 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 743, 943, 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 743, 943, 687 is 1.

HCF(743, 943, 687) = 1

HCF of 743, 943, 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 743, 943, 687 is 1.

Highest Common Factor of 743,943,687 using Euclid's algorithm

Highest Common Factor of 743,943,687 is 1

Step 1: Since 943 > 743, we apply the division lemma to 943 and 743, to get

943 = 743 x 1 + 200

Step 2: Since the reminder 743 ≠ 0, we apply division lemma to 200 and 743, to get

743 = 200 x 3 + 143

Step 3: We consider the new divisor 200 and the new remainder 143, and apply the division lemma to get

200 = 143 x 1 + 57

We consider the new divisor 143 and the new remainder 57,and apply the division lemma to get

143 = 57 x 2 + 29

We consider the new divisor 57 and the new remainder 29,and apply the division lemma to get

57 = 29 x 1 + 28

We consider the new divisor 29 and the new remainder 28,and apply the division lemma to get

29 = 28 x 1 + 1

We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get

28 = 1 x 28 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 743 and 943 is 1

Notice that 1 = HCF(28,1) = HCF(29,28) = HCF(57,29) = HCF(143,57) = HCF(200,143) = HCF(743,200) = HCF(943,743) .

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 743, 943, 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 743, 943, 687?

Answer: HCF of 743, 943, 687 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 743, 943, 687 using Euclid's Algorithm?

Answer: For arbitrary numbers 743, 943, 687 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.