Highest Common Factor of 2753, 1745 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 2753, 1745 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2753, 1745 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 2753, 1745 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 2753, 1745 is 1.

HCF(2753, 1745) = 1

HCF of 2753, 1745 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 2753, 1745 is 1.

Highest Common Factor of 2753,1745 using Euclid's algorithm

Highest Common Factor of 2753,1745 is 1

Step 1: Since 2753 > 1745, we apply the division lemma to 2753 and 1745, to get

2753 = 1745 x 1 + 1008

Step 2: Since the reminder 1745 ≠ 0, we apply division lemma to 1008 and 1745, to get

1745 = 1008 x 1 + 737

Step 3: We consider the new divisor 1008 and the new remainder 737, and apply the division lemma to get

1008 = 737 x 1 + 271

We consider the new divisor 737 and the new remainder 271,and apply the division lemma to get

737 = 271 x 2 + 195

We consider the new divisor 271 and the new remainder 195,and apply the division lemma to get

271 = 195 x 1 + 76

We consider the new divisor 195 and the new remainder 76,and apply the division lemma to get

195 = 76 x 2 + 43

We consider the new divisor 76 and the new remainder 43,and apply the division lemma to get

76 = 43 x 1 + 33

We consider the new divisor 43 and the new remainder 33,and apply the division lemma to get

43 = 33 x 1 + 10

We consider the new divisor 33 and the new remainder 10,and apply the division lemma to get

33 = 10 x 3 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2753 and 1745 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(33,10) = HCF(43,33) = HCF(76,43) = HCF(195,76) = HCF(271,195) = HCF(737,271) = HCF(1008,737) = HCF(1745,1008) = HCF(2753,1745) .

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Frequently Asked Questions on HCF of 2753, 1745 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 2753, 1745?

Answer: HCF of 2753, 1745 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2753, 1745 using Euclid's Algorithm?

Answer: For arbitrary numbers 2753, 1745 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.