Highest Common Factor of 299, 725, 28, 637 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 299, 725, 28, 637 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 299, 725, 28, 637 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 299, 725, 28, 637 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 299, 725, 28, 637 is 1.

HCF(299, 725, 28, 637) = 1

HCF of 299, 725, 28, 637 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 299, 725, 28, 637 is 1.

Highest Common Factor of 299,725,28,637 using Euclid's algorithm

Highest Common Factor of 299,725,28,637 is 1

Step 1: Since 725 > 299, we apply the division lemma to 725 and 299, to get

725 = 299 x 2 + 127

Step 2: Since the reminder 299 ≠ 0, we apply division lemma to 127 and 299, to get

299 = 127 x 2 + 45

Step 3: We consider the new divisor 127 and the new remainder 45, and apply the division lemma to get

127 = 45 x 2 + 37

We consider the new divisor 45 and the new remainder 37,and apply the division lemma to get

45 = 37 x 1 + 8

We consider the new divisor 37 and the new remainder 8,and apply the division lemma to get

37 = 8 x 4 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 299 and 725 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(37,8) = HCF(45,37) = HCF(127,45) = HCF(299,127) = HCF(725,299) .

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

Step 1: Since 28 > 1, we apply the division lemma to 28 and 1, to get

28 = 1 x 28 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 28 is 1

Notice that 1 = HCF(28,1) .

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

Step 1: Since 637 > 1, we apply the division lemma to 637 and 1, to get

637 = 1 x 637 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 637 is 1

Notice that 1 = HCF(637,1) .

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Frequently Asked Questions on HCF of 299, 725, 28, 637 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 299, 725, 28, 637?

Answer: HCF of 299, 725, 28, 637 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 299, 725, 28, 637 using Euclid's Algorithm?

Answer: For arbitrary numbers 299, 725, 28, 637 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.