Highest Common Factor of 2785, 5063, 68537 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 2785, 5063, 68537 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2785, 5063, 68537 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 2785, 5063, 68537 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 2785, 5063, 68537 is 1.

HCF(2785, 5063, 68537) = 1

HCF of 2785, 5063, 68537 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 2785, 5063, 68537 is 1.

Highest Common Factor of 2785,5063,68537 using Euclid's algorithm

Highest Common Factor of 2785,5063,68537 is 1

Step 1: Since 5063 > 2785, we apply the division lemma to 5063 and 2785, to get

5063 = 2785 x 1 + 2278

Step 2: Since the reminder 2785 ≠ 0, we apply division lemma to 2278 and 2785, to get

2785 = 2278 x 1 + 507

Step 3: We consider the new divisor 2278 and the new remainder 507, and apply the division lemma to get

2278 = 507 x 4 + 250

We consider the new divisor 507 and the new remainder 250,and apply the division lemma to get

507 = 250 x 2 + 7

We consider the new divisor 250 and the new remainder 7,and apply the division lemma to get

250 = 7 x 35 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 2785 and 5063 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(250,7) = HCF(507,250) = HCF(2278,507) = HCF(2785,2278) = HCF(5063,2785) .

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

Step 1: Since 68537 > 1, we apply the division lemma to 68537 and 1, to get

68537 = 1 x 68537 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68537 is 1

Notice that 1 = HCF(68537,1) .

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Frequently Asked Questions on HCF of 2785, 5063, 68537 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 2785, 5063, 68537?

Answer: HCF of 2785, 5063, 68537 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2785, 5063, 68537 using Euclid's Algorithm?

Answer: For arbitrary numbers 2785, 5063, 68537 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.