Highest Common Factor of 902, 663, 529 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 902, 663, 529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 902, 663, 529 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 902, 663, 529 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 902, 663, 529 is 1.

HCF(902, 663, 529) = 1

HCF of 902, 663, 529 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 902, 663, 529 is 1.

Highest Common Factor of 902,663,529 using Euclid's algorithm

Highest Common Factor of 902,663,529 is 1

Step 1: Since 902 > 663, we apply the division lemma to 902 and 663, to get

902 = 663 x 1 + 239

Step 2: Since the reminder 663 ≠ 0, we apply division lemma to 239 and 663, to get

663 = 239 x 2 + 185

Step 3: We consider the new divisor 239 and the new remainder 185, and apply the division lemma to get

239 = 185 x 1 + 54

We consider the new divisor 185 and the new remainder 54,and apply the division lemma to get

185 = 54 x 3 + 23

We consider the new divisor 54 and the new remainder 23,and apply the division lemma to get

54 = 23 x 2 + 8

We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get

23 = 8 x 2 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 902 and 663 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(54,23) = HCF(185,54) = HCF(239,185) = HCF(663,239) = HCF(902,663) .

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

Step 1: Since 529 > 1, we apply the division lemma to 529 and 1, to get

529 = 1 x 529 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 529 is 1

Notice that 1 = HCF(529,1) .

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Frequently Asked Questions on HCF of 902, 663, 529 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 902, 663, 529?

Answer: HCF of 902, 663, 529 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 902, 663, 529 using Euclid's Algorithm?

Answer: For arbitrary numbers 902, 663, 529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.