Highest Common Factor of 5457, 1237, 73532 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 5457, 1237, 73532 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5457, 1237, 73532 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 5457, 1237, 73532 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 5457, 1237, 73532 is 1.

HCF(5457, 1237, 73532) = 1

HCF of 5457, 1237, 73532 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 5457, 1237, 73532 is 1.

Highest Common Factor of 5457,1237,73532 using Euclid's algorithm

Highest Common Factor of 5457,1237,73532 is 1

Step 1: Since 5457 > 1237, we apply the division lemma to 5457 and 1237, to get

5457 = 1237 x 4 + 509

Step 2: Since the reminder 1237 ≠ 0, we apply division lemma to 509 and 1237, to get

1237 = 509 x 2 + 219

Step 3: We consider the new divisor 509 and the new remainder 219, and apply the division lemma to get

509 = 219 x 2 + 71

We consider the new divisor 219 and the new remainder 71,and apply the division lemma to get

219 = 71 x 3 + 6

We consider the new divisor 71 and the new remainder 6,and apply the division lemma to get

71 = 6 x 11 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5457 and 1237 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(71,6) = HCF(219,71) = HCF(509,219) = HCF(1237,509) = HCF(5457,1237) .

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

Step 1: Since 73532 > 1, we apply the division lemma to 73532 and 1, to get

73532 = 1 x 73532 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 73532 is 1

Notice that 1 = HCF(73532,1) .

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Frequently Asked Questions on HCF of 5457, 1237, 73532 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 5457, 1237, 73532?

Answer: HCF of 5457, 1237, 73532 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5457, 1237, 73532 using Euclid's Algorithm?

Answer: For arbitrary numbers 5457, 1237, 73532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.