Highest Common Factor of 2750, 4487 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 2750, 4487 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2750, 4487 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 2750, 4487 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 2750, 4487 is 1.

HCF(2750, 4487) = 1

HCF of 2750, 4487 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 2750, 4487 is 1.

Highest Common Factor of 2750,4487 using Euclid's algorithm

Highest Common Factor of 2750,4487 is 1

Step 1: Since 4487 > 2750, we apply the division lemma to 4487 and 2750, to get

4487 = 2750 x 1 + 1737

Step 2: Since the reminder 2750 ≠ 0, we apply division lemma to 1737 and 2750, to get

2750 = 1737 x 1 + 1013

Step 3: We consider the new divisor 1737 and the new remainder 1013, and apply the division lemma to get

1737 = 1013 x 1 + 724

We consider the new divisor 1013 and the new remainder 724,and apply the division lemma to get

1013 = 724 x 1 + 289

We consider the new divisor 724 and the new remainder 289,and apply the division lemma to get

724 = 289 x 2 + 146

We consider the new divisor 289 and the new remainder 146,and apply the division lemma to get

289 = 146 x 1 + 143

We consider the new divisor 146 and the new remainder 143,and apply the division lemma to get

146 = 143 x 1 + 3

We consider the new divisor 143 and the new remainder 3,and apply the division lemma to get

143 = 3 x 47 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 2750 and 4487 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(143,3) = HCF(146,143) = HCF(289,146) = HCF(724,289) = HCF(1013,724) = HCF(1737,1013) = HCF(2750,1737) = HCF(4487,2750) .

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Frequently Asked Questions on HCF of 2750, 4487 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 2750, 4487?

Answer: HCF of 2750, 4487 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2750, 4487 using Euclid's Algorithm?

Answer: For arbitrary numbers 2750, 4487 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.