Highest Common Factor of 285, 7932, 5165 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 285, 7932, 5165 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 285, 7932, 5165 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 285, 7932, 5165 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 285, 7932, 5165 is 1.

HCF(285, 7932, 5165) = 1

HCF of 285, 7932, 5165 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 285, 7932, 5165 is 1.

Highest Common Factor of 285,7932,5165 using Euclid's algorithm

Highest Common Factor of 285,7932,5165 is 1

Step 1: Since 7932 > 285, we apply the division lemma to 7932 and 285, to get

7932 = 285 x 27 + 237

Step 2: Since the reminder 285 ≠ 0, we apply division lemma to 237 and 285, to get

285 = 237 x 1 + 48

Step 3: We consider the new divisor 237 and the new remainder 48, and apply the division lemma to get

237 = 48 x 4 + 45

We consider the new divisor 48 and the new remainder 45,and apply the division lemma to get

48 = 45 x 1 + 3

We consider the new divisor 45 and the new remainder 3,and apply the division lemma to get

45 = 3 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 285 and 7932 is 3

Notice that 3 = HCF(45,3) = HCF(48,45) = HCF(237,48) = HCF(285,237) = HCF(7932,285) .


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

Step 1: Since 5165 > 3, we apply the division lemma to 5165 and 3, to get

5165 = 3 x 1721 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 5165 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5165,3) .

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Frequently Asked Questions on HCF of 285, 7932, 5165 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 285, 7932, 5165?

Answer: HCF of 285, 7932, 5165 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 285, 7932, 5165 using Euclid's Algorithm?

Answer: For arbitrary numbers 285, 7932, 5165 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.