Highest Common Factor of 7853, 3104, 72252 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 7853, 3104, 72252 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7853, 3104, 72252 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 7853, 3104, 72252 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 7853, 3104, 72252 is 1.

HCF(7853, 3104, 72252) = 1

HCF of 7853, 3104, 72252 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 7853, 3104, 72252 is 1.

Highest Common Factor of 7853,3104,72252 using Euclid's algorithm

Highest Common Factor of 7853,3104,72252 is 1

Step 1: Since 7853 > 3104, we apply the division lemma to 7853 and 3104, to get

7853 = 3104 x 2 + 1645

Step 2: Since the reminder 3104 ≠ 0, we apply division lemma to 1645 and 3104, to get

3104 = 1645 x 1 + 1459

Step 3: We consider the new divisor 1645 and the new remainder 1459, and apply the division lemma to get

1645 = 1459 x 1 + 186

We consider the new divisor 1459 and the new remainder 186,and apply the division lemma to get

1459 = 186 x 7 + 157

We consider the new divisor 186 and the new remainder 157,and apply the division lemma to get

186 = 157 x 1 + 29

We consider the new divisor 157 and the new remainder 29,and apply the division lemma to get

157 = 29 x 5 + 12

We consider the new divisor 29 and the new remainder 12,and apply the division lemma to get

29 = 12 x 2 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 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 7853 and 3104 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(29,12) = HCF(157,29) = HCF(186,157) = HCF(1459,186) = HCF(1645,1459) = HCF(3104,1645) = HCF(7853,3104) .

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

Step 1: Since 72252 > 1, we apply the division lemma to 72252 and 1, to get

72252 = 1 x 72252 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72252 is 1

Notice that 1 = HCF(72252,1) .

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Frequently Asked Questions on HCF of 7853, 3104, 72252 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 7853, 3104, 72252?

Answer: HCF of 7853, 3104, 72252 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7853, 3104, 72252 using Euclid's Algorithm?

Answer: For arbitrary numbers 7853, 3104, 72252 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.