Highest Common Factor of 931, 6880, 6943 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 931, 6880, 6943 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 931, 6880, 6943 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 931, 6880, 6943 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 931, 6880, 6943 is 1.

HCF(931, 6880, 6943) = 1

HCF of 931, 6880, 6943 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 931, 6880, 6943 is 1.

Highest Common Factor of 931,6880,6943 using Euclid's algorithm

Highest Common Factor of 931,6880,6943 is 1

Step 1: Since 6880 > 931, we apply the division lemma to 6880 and 931, to get

6880 = 931 x 7 + 363

Step 2: Since the reminder 931 ≠ 0, we apply division lemma to 363 and 931, to get

931 = 363 x 2 + 205

Step 3: We consider the new divisor 363 and the new remainder 205, and apply the division lemma to get

363 = 205 x 1 + 158

We consider the new divisor 205 and the new remainder 158,and apply the division lemma to get

205 = 158 x 1 + 47

We consider the new divisor 158 and the new remainder 47,and apply the division lemma to get

158 = 47 x 3 + 17

We consider the new divisor 47 and the new remainder 17,and apply the division lemma to get

47 = 17 x 2 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 931 and 6880 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(47,17) = HCF(158,47) = HCF(205,158) = HCF(363,205) = HCF(931,363) = HCF(6880,931) .

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

Step 1: Since 6943 > 1, we apply the division lemma to 6943 and 1, to get

6943 = 1 x 6943 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6943 is 1

Notice that 1 = HCF(6943,1) .

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Frequently Asked Questions on HCF of 931, 6880, 6943 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 931, 6880, 6943?

Answer: HCF of 931, 6880, 6943 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 931, 6880, 6943 using Euclid's Algorithm?

Answer: For arbitrary numbers 931, 6880, 6943 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.