How to Find GCF of 1640/227, 5498/487?

GCF of 1640/227, 5498/487

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 1640/227, 5498/487 i.e 2/110549 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1640/227, 5498/487.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1640/227,5498/487?

Given fractions are 1640/227,5498/487

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 1640/227,5498/487, numerators are 1640,5498

Denominators are 227,487

The GCF of 1640,5498 is 2 .

LCM of 227,487 is 110549.

The greatest common factor of 1640/227,5498/487 = [GCF of 1640,5498]/[LCM of 227,487]= 2/110549

Therefore, the GCF of 1640/227,5498/487 is 2/110549.

Greatest Common Factor of 1640,5498

To find the highest common factor of 1640,5498, we have to find the factors of both numbers and list the highest common factor.

The factors of 1640 are 1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640

The factors of 5498 are 1, 2, 2749, 5498

The HCF of 1640,5498 is 2.

Lets's calculate GCF of 1640,5498

Greatest Common Factor (GCF) of 1640,5498 By Common Division

2	1640, 5498
	820, 2749

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1640,5498 By Matching Biggest Common Factor Method

Now, list down the factors of 1640

1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640

Now, list down the factors of 5498

1,2,2749,5498

Greatest Common Factor

We found the factors 1640,5498 . The biggest common factor number is the GCF number.
So the greatest common factor 1640,5498 is 2.

Lets's calculate LCM of 227,487

Lowest Common Multiple of 227,487 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 110549

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/110549

Therefore, the GCF of Fractions 1640/227,5498/487 is 2/110549

Least Common Multiple of 227,487 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 227,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(227,487) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(227,487) x common factors =1 x 1 = 1

LCM(227,487) = ( 227 × 487 ) / 1

LCM(227,487) = 110549 / 1

LCM(227,487) = 110549

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1640/227, 5498/487

1. What is the HCF of 1640,5498?

The HCF of 1640,5498 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 1640/227, 5498/487?

Answer: GCF of Numerators as per given numbers 1640/227, 5498/487 is

GCF of Numerators i.e. for 1640,5498 is 2

LCM of denominators i.e. for 227,487 is 110549.

Thus, GCF of Fractions is 2/110549.Finally, GCF of Fractions for 1640/227, 5498/487 is 2/110549.