Highest Common Factor of 903, 532, 620 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 903, 532, 620 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 903, 532, 620 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 903, 532, 620 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 903, 532, 620 is 1.

HCF(903, 532, 620) = 1

HCF of 903, 532, 620 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 903, 532, 620 is 1.

Highest Common Factor of 903,532,620 using Euclid's algorithm

Highest Common Factor of 903,532,620 is 1

Step 1: Since 903 > 532, we apply the division lemma to 903 and 532, to get

903 = 532 x 1 + 371

Step 2: Since the reminder 532 ≠ 0, we apply division lemma to 371 and 532, to get

532 = 371 x 1 + 161

Step 3: We consider the new divisor 371 and the new remainder 161, and apply the division lemma to get

371 = 161 x 2 + 49

We consider the new divisor 161 and the new remainder 49,and apply the division lemma to get

161 = 49 x 3 + 14

We consider the new divisor 49 and the new remainder 14,and apply the division lemma to get

49 = 14 x 3 + 7

We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get

14 = 7 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 903 and 532 is 7

Notice that 7 = HCF(14,7) = HCF(49,14) = HCF(161,49) = HCF(371,161) = HCF(532,371) = HCF(903,532) .

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

Step 1: Since 620 > 7, we apply the division lemma to 620 and 7, to get

620 = 7 x 88 + 4

Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 4 and 7, to get

7 = 4 x 1 + 3

Step 3: We consider the new divisor 4 and the new remainder 3, and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 620 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(620,7) .

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Frequently Asked Questions on HCF of 903, 532, 620 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 903, 532, 620?

Answer: HCF of 903, 532, 620 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 903, 532, 620 using Euclid's Algorithm?

Answer: For arbitrary numbers 903, 532, 620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.