Highest Common Factor of 557, 749, 201 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 557, 749, 201 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 557, 749, 201 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 557, 749, 201 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 557, 749, 201 is 1.

HCF(557, 749, 201) = 1

HCF of 557, 749, 201 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 557, 749, 201 is 1.

Highest Common Factor of 557,749,201 using Euclid's algorithm

Highest Common Factor of 557,749,201 is 1

Step 1: Since 749 > 557, we apply the division lemma to 749 and 557, to get

749 = 557 x 1 + 192

Step 2: Since the reminder 557 ≠ 0, we apply division lemma to 192 and 557, to get

557 = 192 x 2 + 173

Step 3: We consider the new divisor 192 and the new remainder 173, and apply the division lemma to get

192 = 173 x 1 + 19

We consider the new divisor 173 and the new remainder 19,and apply the division lemma to get

173 = 19 x 9 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 557 and 749 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(173,19) = HCF(192,173) = HCF(557,192) = HCF(749,557) .

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

Step 1: Since 201 > 1, we apply the division lemma to 201 and 1, to get

201 = 1 x 201 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 201 is 1

Notice that 1 = HCF(201,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 557, 749, 201 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 557, 749, 201?

Answer: HCF of 557, 749, 201 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 557, 749, 201 using Euclid's Algorithm?

Answer: For arbitrary numbers 557, 749, 201 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.