Highest Common Factor of 5731, 7936, 15812 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 5731, 7936, 15812 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5731, 7936, 15812 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 5731, 7936, 15812 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 5731, 7936, 15812 is 1.

HCF(5731, 7936, 15812) = 1

HCF of 5731, 7936, 15812 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 5731, 7936, 15812 is 1.

Highest Common Factor of 5731,7936,15812 using Euclid's algorithm

Highest Common Factor of 5731,7936,15812 is 1

Step 1: Since 7936 > 5731, we apply the division lemma to 7936 and 5731, to get

7936 = 5731 x 1 + 2205

Step 2: Since the reminder 5731 ≠ 0, we apply division lemma to 2205 and 5731, to get

5731 = 2205 x 2 + 1321

Step 3: We consider the new divisor 2205 and the new remainder 1321, and apply the division lemma to get

2205 = 1321 x 1 + 884

We consider the new divisor 1321 and the new remainder 884,and apply the division lemma to get

1321 = 884 x 1 + 437

We consider the new divisor 884 and the new remainder 437,and apply the division lemma to get

884 = 437 x 2 + 10

We consider the new divisor 437 and the new remainder 10,and apply the division lemma to get

437 = 10 x 43 + 7

We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get

10 = 7 x 1 + 3

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

7 = 3 x 2 + 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 5731 and 7936 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(437,10) = HCF(884,437) = HCF(1321,884) = HCF(2205,1321) = HCF(5731,2205) = HCF(7936,5731) .

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

Step 1: Since 15812 > 1, we apply the division lemma to 15812 and 1, to get

15812 = 1 x 15812 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15812 is 1

Notice that 1 = HCF(15812,1) .

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Frequently Asked Questions on HCF of 5731, 7936, 15812 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 5731, 7936, 15812?

Answer: HCF of 5731, 7936, 15812 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5731, 7936, 15812 using Euclid's Algorithm?

Answer: For arbitrary numbers 5731, 7936, 15812 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.