Greatest Common Factor of 157/28, 245/19, 282/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 157/28, 245/19, 282/119

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 157/28,245/19,282/119

Given fractions are 157/28,245/19,282/119

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 157,245,282

Greatest Common Factor of Numerators i.e. GCF of 157,245,282 is 1 .

LCM of Denominators means LCM of 28,19,119 as per the given fractions.

LCM of 28,19,119 is 9044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 157,245,282

GCF of Fractions 157/28,245/19,282/119 is 1/9044

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

Greatest Common Factor of 157,245,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,245,282 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 157,245,282 . The biggest common factor number is the GCF number.
So the greatest common factor 157,245,282 is 1.

Lets's calculate LCM of 28,19,119

7 28, 19, 119
4, 19, 17

∴ So the LCM of the given numbers is 7 x 4 x 19 x 17 = 9044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9044

Therefore, the GCF of Fractions 157/28,245/19,282/119 is 1/9044

Least Common Multiple of 28,19,119 with GCF Formula

Least Common Multiple of 28,19,119 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 28,19,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,19,119) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(28,19,119) x common factors =1 x 7 = 7

LCM(28,19,119) = ( 28 × 19 × 119 ) / 7

LCM(28,19,119) = 63308 / 7

LCM(28,19,119) = 9044


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 157/28, 245/19, 282/119

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 157/28, 245/19, 282/119?

Answer: GCF of Numerators as per given numbers 157/28, 245/19, 282/119 is

GCF of Numerators i.e. for 157,245,282 is 1

LCM of denominators i.e. for 28,19,119 is 9044.

Thus, GCF of Fractions is 1/9044.Finally, GCF of Fractions for 157/28, 245/19, 282/119 is 1/9044.