Greatest Common Factor of 561/628, 495/785, 982/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 561/628, 495/785, 982/136

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 561/628,495/785,982/136

Given fractions are 561/628,495/785,982/136

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 561,495,982

Greatest Common Factor of Numerators i.e. GCF of 561,495,982 is 1 .

LCM of Denominators means LCM of 628,785,136 as per the given fractions.

LCM of 628,785,136 is 106760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 561,495,982

GCF of Fractions 561/628,495/785,982/136 is 1/106760

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 561,495,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,495,982 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 561,495,982 . The biggest common factor number is the GCF number.
So the greatest common factor 561,495,982 is 1.

Lets's calculate LCM of 628,785,136

2 628, 785, 136
2 314, 785, 68
157 157, 785, 34
1, 5, 34

∴ So the LCM of the given numbers is 2 x 2 x 157 x 1 x 5 x 34 = 106760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106760

Therefore, the GCF of Fractions 561/628,495/785,982/136 is 1/106760

Least Common Multiple of 628,785,136 with GCF Formula

Least Common Multiple of 628,785,136 with GCF Formula

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

We need to calculate greatest common factor of 628,785,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,785,136) = 1

common factors(in case of two or more numbers have common factors) = 628

GCF(628,785,136) x common factors =1 x 628 = 628

LCM(628,785,136) = ( 628 × 785 × 136 ) / 628

LCM(628,785,136) = 67045280 / 628

LCM(628,785,136) = 106760


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 561/628, 495/785, 982/136

1. 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.

2. What is the GCF of Fractions for 561/628, 495/785, 982/136?

Answer: GCF of Numerators as per given numbers 561/628, 495/785, 982/136 is

GCF of Numerators i.e. for 561,495,982 is 1

LCM of denominators i.e. for 628,785,136 is 106760.

Thus, GCF of Fractions is 1/106760.Finally, GCF of Fractions for 561/628, 495/785, 982/136 is 1/106760.