Highest Common Factor of 920, 523, 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 920, 523, 179 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 920, 523, 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 920, 523, 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 920, 523, 179 is 1.

HCF(920, 523, 179) = 1

HCF of 920, 523, 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 920, 523, 179 is 1.

Highest Common Factor of 920,523,179 using Euclid's algorithm

Highest Common Factor of 920,523,179 is 1

Step 1: Since 920 > 523, we apply the division lemma to 920 and 523, to get

920 = 523 x 1 + 397

Step 2: Since the reminder 523 ≠ 0, we apply division lemma to 397 and 523, to get

523 = 397 x 1 + 126

Step 3: We consider the new divisor 397 and the new remainder 126, and apply the division lemma to get

397 = 126 x 3 + 19

We consider the new divisor 126 and the new remainder 19,and apply the division lemma to get

126 = 19 x 6 + 12

We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get

19 = 12 x 1 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 920 and 523 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(126,19) = HCF(397,126) = HCF(523,397) = HCF(920,523) .

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) .

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Frequently Asked Questions on HCF of 920, 523, 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 920, 523, 179?

Answer: HCF of 920, 523, 179 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 920, 523, 179 using Euclid's Algorithm?

Answer: For arbitrary numbers 920, 523, 179 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.