Highest Common Factor of 903, 737, 284 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, 737, 284 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 903, 737, 284 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, 737, 284 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, 737, 284 is 1.

HCF(903, 737, 284) = 1

HCF of 903, 737, 284 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, 737, 284 is 1.

Highest Common Factor of 903,737,284 using Euclid's algorithm

Highest Common Factor of 903,737,284 is 1

Step 1: Since 903 > 737, we apply the division lemma to 903 and 737, to get

903 = 737 x 1 + 166

Step 2: Since the reminder 737 ≠ 0, we apply division lemma to 166 and 737, to get

737 = 166 x 4 + 73

Step 3: We consider the new divisor 166 and the new remainder 73, and apply the division lemma to get

166 = 73 x 2 + 20

We consider the new divisor 73 and the new remainder 20,and apply the division lemma to get

73 = 20 x 3 + 13

We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get

20 = 13 x 1 + 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 903 and 737 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(73,20) = HCF(166,73) = HCF(737,166) = HCF(903,737) .

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

Step 1: Since 284 > 1, we apply the division lemma to 284 and 1, to get

284 = 1 x 284 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 284 is 1

Notice that 1 = HCF(284,1) .

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Frequently Asked Questions on HCF of 903, 737, 284 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, 737, 284?

Answer: HCF of 903, 737, 284 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 903, 737, 284 using Euclid's Algorithm?

Answer: For arbitrary numbers 903, 737, 284 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.