Highest Common Factor of 7252, 1073, 69160 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 7252, 1073, 69160 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7252, 1073, 69160 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 7252, 1073, 69160 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 7252, 1073, 69160 is 1.

HCF(7252, 1073, 69160) = 1

HCF of 7252, 1073, 69160 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 7252, 1073, 69160 is 1.

Highest Common Factor of 7252,1073,69160 using Euclid's algorithm

Highest Common Factor of 7252,1073,69160 is 1

Step 1: Since 7252 > 1073, we apply the division lemma to 7252 and 1073, to get

7252 = 1073 x 6 + 814

Step 2: Since the reminder 1073 ≠ 0, we apply division lemma to 814 and 1073, to get

1073 = 814 x 1 + 259

Step 3: We consider the new divisor 814 and the new remainder 259, and apply the division lemma to get

814 = 259 x 3 + 37

We consider the new divisor 259 and the new remainder 37, and apply the division lemma to get

259 = 37 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 7252 and 1073 is 37

Notice that 37 = HCF(259,37) = HCF(814,259) = HCF(1073,814) = HCF(7252,1073) .

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

Step 1: Since 69160 > 37, we apply the division lemma to 69160 and 37, to get

69160 = 37 x 1869 + 7

Step 2: Since the reminder 37 ≠ 0, we apply division lemma to 7 and 37, to get

37 = 7 x 5 + 2

Step 3: We consider the new divisor 7 and the new remainder 2, and apply the division lemma to get

7 = 2 x 3 + 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 37 and 69160 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(37,7) = HCF(69160,37) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 7252, 1073, 69160 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 7252, 1073, 69160?

Answer: HCF of 7252, 1073, 69160 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7252, 1073, 69160 using Euclid's Algorithm?

Answer: For arbitrary numbers 7252, 1073, 69160 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.