Highest Common Factor of 520, 741, 632 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 520, 741, 632 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 520, 741, 632 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 520, 741, 632 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 520, 741, 632 is 1.

HCF(520, 741, 632) = 1

HCF of 520, 741, 632 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 520, 741, 632 is 1.

Highest Common Factor of 520,741,632 using Euclid's algorithm

Highest Common Factor of 520,741,632 is 1

Step 1: Since 741 > 520, we apply the division lemma to 741 and 520, to get

741 = 520 x 1 + 221

Step 2: Since the reminder 520 ≠ 0, we apply division lemma to 221 and 520, to get

520 = 221 x 2 + 78

Step 3: We consider the new divisor 221 and the new remainder 78, and apply the division lemma to get

221 = 78 x 2 + 65

We consider the new divisor 78 and the new remainder 65,and apply the division lemma to get

78 = 65 x 1 + 13

We consider the new divisor 65 and the new remainder 13,and apply the division lemma to get

65 = 13 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 520 and 741 is 13

Notice that 13 = HCF(65,13) = HCF(78,65) = HCF(221,78) = HCF(520,221) = HCF(741,520) .

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

Step 1: Since 632 > 13, we apply the division lemma to 632 and 13, to get

632 = 13 x 48 + 8

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 8 and 13, to get

13 = 8 x 1 + 5

Step 3: We consider the new divisor 8 and the new remainder 5, and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 13 and 632 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(632,13) .

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Frequently Asked Questions on HCF of 520, 741, 632 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 520, 741, 632?

Answer: HCF of 520, 741, 632 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 520, 741, 632 using Euclid's Algorithm?

Answer: For arbitrary numbers 520, 741, 632 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.