Highest Common Factor of 732, 251, 576, 40 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 732, 251, 576, 40 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 732, 251, 576, 40 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 732, 251, 576, 40 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 732, 251, 576, 40 is 1.

HCF(732, 251, 576, 40) = 1

HCF of 732, 251, 576, 40 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 732, 251, 576, 40 is 1.

Highest Common Factor of 732,251,576,40 using Euclid's algorithm

Highest Common Factor of 732,251,576,40 is 1

Step 1: Since 732 > 251, we apply the division lemma to 732 and 251, to get

732 = 251 x 2 + 230

Step 2: Since the reminder 251 ≠ 0, we apply division lemma to 230 and 251, to get

251 = 230 x 1 + 21

Step 3: We consider the new divisor 230 and the new remainder 21, and apply the division lemma to get

230 = 21 x 10 + 20

We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get

21 = 20 x 1 + 1

We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get

20 = 1 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 732 and 251 is 1

Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(230,21) = HCF(251,230) = HCF(732,251) .

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

Step 1: Since 576 > 1, we apply the division lemma to 576 and 1, to get

576 = 1 x 576 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 576 is 1

Notice that 1 = HCF(576,1) .

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

Step 1: Since 40 > 1, we apply the division lemma to 40 and 1, to get

40 = 1 x 40 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 40 is 1

Notice that 1 = HCF(40,1) .

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Frequently Asked Questions on HCF of 732, 251, 576, 40 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 732, 251, 576, 40?

Answer: HCF of 732, 251, 576, 40 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 732, 251, 576, 40 using Euclid's Algorithm?

Answer: For arbitrary numbers 732, 251, 576, 40 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.