Highest Common Factor of 943, 2508, 6908 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 943, 2508, 6908 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 943, 2508, 6908 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 943, 2508, 6908 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 943, 2508, 6908 is 1.

HCF(943, 2508, 6908) = 1

HCF of 943, 2508, 6908 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 943, 2508, 6908 is 1.

Highest Common Factor of 943,2508,6908 using Euclid's algorithm

Highest Common Factor of 943,2508,6908 is 1

Step 1: Since 2508 > 943, we apply the division lemma to 2508 and 943, to get

2508 = 943 x 2 + 622

Step 2: Since the reminder 943 ≠ 0, we apply division lemma to 622 and 943, to get

943 = 622 x 1 + 321

Step 3: We consider the new divisor 622 and the new remainder 321, and apply the division lemma to get

622 = 321 x 1 + 301

We consider the new divisor 321 and the new remainder 301,and apply the division lemma to get

321 = 301 x 1 + 20

We consider the new divisor 301 and the new remainder 20,and apply the division lemma to get

301 = 20 x 15 + 1

We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get

20 = 1 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 943 and 2508 is 1

Notice that 1 = HCF(20,1) = HCF(301,20) = HCF(321,301) = HCF(622,321) = HCF(943,622) = HCF(2508,943) .

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

Step 1: Since 6908 > 1, we apply the division lemma to 6908 and 1, to get

6908 = 1 x 6908 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6908 is 1

Notice that 1 = HCF(6908,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 943, 2508, 6908 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 943, 2508, 6908?

Answer: HCF of 943, 2508, 6908 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 943, 2508, 6908 using Euclid's Algorithm?

Answer: For arbitrary numbers 943, 2508, 6908 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.