Highest Common Factor of 992, 779, 931 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 992, 779, 931 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 992, 779, 931 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 992, 779, 931 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 992, 779, 931 is 1.

HCF(992, 779, 931) = 1

HCF of 992, 779, 931 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 992, 779, 931 is 1.

Highest Common Factor of 992,779,931 using Euclid's algorithm

Highest Common Factor of 992,779,931 is 1

Step 1: Since 992 > 779, we apply the division lemma to 992 and 779, to get

992 = 779 x 1 + 213

Step 2: Since the reminder 779 ≠ 0, we apply division lemma to 213 and 779, to get

779 = 213 x 3 + 140

Step 3: We consider the new divisor 213 and the new remainder 140, and apply the division lemma to get

213 = 140 x 1 + 73

We consider the new divisor 140 and the new remainder 73,and apply the division lemma to get

140 = 73 x 1 + 67

We consider the new divisor 73 and the new remainder 67,and apply the division lemma to get

73 = 67 x 1 + 6

We consider the new divisor 67 and the new remainder 6,and apply the division lemma to get

67 = 6 x 11 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 992 and 779 is 1

Notice that 1 = HCF(6,1) = HCF(67,6) = HCF(73,67) = HCF(140,73) = HCF(213,140) = HCF(779,213) = HCF(992,779) .

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

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

931 = 1 x 931 + 0

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

Notice that 1 = HCF(931,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 992, 779, 931 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 992, 779, 931?

Answer: HCF of 992, 779, 931 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 992, 779, 931 using Euclid's Algorithm?

Answer: For arbitrary numbers 992, 779, 931 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.