Highest Common Factor of 5237, 7275, 54036 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 5237, 7275, 54036 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5237, 7275, 54036 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 5237, 7275, 54036 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 5237, 7275, 54036 is 1.

HCF(5237, 7275, 54036) = 1

HCF of 5237, 7275, 54036 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 5237, 7275, 54036 is 1.

Highest Common Factor of 5237,7275,54036 using Euclid's algorithm

Highest Common Factor of 5237,7275,54036 is 1

Step 1: Since 7275 > 5237, we apply the division lemma to 7275 and 5237, to get

7275 = 5237 x 1 + 2038

Step 2: Since the reminder 5237 ≠ 0, we apply division lemma to 2038 and 5237, to get

5237 = 2038 x 2 + 1161

Step 3: We consider the new divisor 2038 and the new remainder 1161, and apply the division lemma to get

2038 = 1161 x 1 + 877

We consider the new divisor 1161 and the new remainder 877,and apply the division lemma to get

1161 = 877 x 1 + 284

We consider the new divisor 877 and the new remainder 284,and apply the division lemma to get

877 = 284 x 3 + 25

We consider the new divisor 284 and the new remainder 25,and apply the division lemma to get

284 = 25 x 11 + 9

We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get

25 = 9 x 2 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

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 5237 and 7275 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(284,25) = HCF(877,284) = HCF(1161,877) = HCF(2038,1161) = HCF(5237,2038) = HCF(7275,5237) .

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

Step 1: Since 54036 > 1, we apply the division lemma to 54036 and 1, to get

54036 = 1 x 54036 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54036 is 1

Notice that 1 = HCF(54036,1) .

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Frequently Asked Questions on HCF of 5237, 7275, 54036 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 5237, 7275, 54036?

Answer: HCF of 5237, 7275, 54036 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5237, 7275, 54036 using Euclid's Algorithm?

Answer: For arbitrary numbers 5237, 7275, 54036 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.