Highest Common Factor of 749, 284, 575 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 749, 284, 575 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 749, 284, 575 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 749, 284, 575 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 749, 284, 575 is 1.

HCF(749, 284, 575) = 1

HCF of 749, 284, 575 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 749, 284, 575 is 1.

Highest Common Factor of 749,284,575 using Euclid's algorithm

Highest Common Factor of 749,284,575 is 1

Step 1: Since 749 > 284, we apply the division lemma to 749 and 284, to get

749 = 284 x 2 + 181

Step 2: Since the reminder 284 ≠ 0, we apply division lemma to 181 and 284, to get

284 = 181 x 1 + 103

Step 3: We consider the new divisor 181 and the new remainder 103, and apply the division lemma to get

181 = 103 x 1 + 78

We consider the new divisor 103 and the new remainder 78,and apply the division lemma to get

103 = 78 x 1 + 25

We consider the new divisor 78 and the new remainder 25,and apply the division lemma to get

78 = 25 x 3 + 3

We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get

25 = 3 x 8 + 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 749 and 284 is 1

Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(78,25) = HCF(103,78) = HCF(181,103) = HCF(284,181) = HCF(749,284) .

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

Step 1: Since 575 > 1, we apply the division lemma to 575 and 1, to get

575 = 1 x 575 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 575 is 1

Notice that 1 = HCF(575,1) .

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Frequently Asked Questions on HCF of 749, 284, 575 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 749, 284, 575?

Answer: HCF of 749, 284, 575 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 749, 284, 575 using Euclid's Algorithm?

Answer: For arbitrary numbers 749, 284, 575 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.