Highest Common Factor of 711, 424, 179 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 711, 424, 179 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 711, 424, 179 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 711, 424, 179 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 711, 424, 179 is 1.

HCF(711, 424, 179) = 1

HCF of 711, 424, 179 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 711, 424, 179 is 1.

Highest Common Factor of 711,424,179 using Euclid's algorithm

Highest Common Factor of 711,424,179 is 1

Step 1: Since 711 > 424, we apply the division lemma to 711 and 424, to get

711 = 424 x 1 + 287

Step 2: Since the reminder 424 ≠ 0, we apply division lemma to 287 and 424, to get

424 = 287 x 1 + 137

Step 3: We consider the new divisor 287 and the new remainder 137, and apply the division lemma to get

287 = 137 x 2 + 13

We consider the new divisor 137 and the new remainder 13,and apply the division lemma to get

137 = 13 x 10 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 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 711 and 424 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(137,13) = HCF(287,137) = HCF(424,287) = HCF(711,424) .

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

Step 1: Since 179 > 1, we apply the division lemma to 179 and 1, to get

179 = 1 x 179 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 179 is 1

Notice that 1 = HCF(179,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 711, 424, 179 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 711, 424, 179?

Answer: HCF of 711, 424, 179 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 711, 424, 179 using Euclid's Algorithm?

Answer: For arbitrary numbers 711, 424, 179 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.