Highest Common Factor of 7408, 2753 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 7408, 2753 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7408, 2753 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 7408, 2753 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 7408, 2753 is 1.

HCF(7408, 2753) = 1

HCF of 7408, 2753 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 7408, 2753 is 1.

Highest Common Factor of 7408,2753 using Euclid's algorithm

Highest Common Factor of 7408,2753 is 1

Step 1: Since 7408 > 2753, we apply the division lemma to 7408 and 2753, to get

7408 = 2753 x 2 + 1902

Step 2: Since the reminder 2753 ≠ 0, we apply division lemma to 1902 and 2753, to get

2753 = 1902 x 1 + 851

Step 3: We consider the new divisor 1902 and the new remainder 851, and apply the division lemma to get

1902 = 851 x 2 + 200

We consider the new divisor 851 and the new remainder 200,and apply the division lemma to get

851 = 200 x 4 + 51

We consider the new divisor 200 and the new remainder 51,and apply the division lemma to get

200 = 51 x 3 + 47

We consider the new divisor 51 and the new remainder 47,and apply the division lemma to get

51 = 47 x 1 + 4

We consider the new divisor 47 and the new remainder 4,and apply the division lemma to get

47 = 4 x 11 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 7408 and 2753 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(47,4) = HCF(51,47) = HCF(200,51) = HCF(851,200) = HCF(1902,851) = HCF(2753,1902) = HCF(7408,2753) .

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Frequently Asked Questions on HCF of 7408, 2753 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 7408, 2753?

Answer: HCF of 7408, 2753 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7408, 2753 using Euclid's Algorithm?

Answer: For arbitrary numbers 7408, 2753 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.