Greatest Common Factor of 902/218, 918/102, 228/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 902/218, 918/102, 228/625

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 902/218,918/102,228/625

Given fractions are 902/218,918/102,228/625

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 902,918,228

Greatest Common Factor of Numerators i.e. GCF of 902,918,228 is 2 .

LCM of Denominators means LCM of 218,102,625 as per the given fractions.

LCM of 218,102,625 is 6948750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 902,918,228

GCF of Fractions 902/218,918/102,228/625 is 2/6948750

2 902, 918, 228
451, 459, 114

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

Greatest Common Factor of 902,918,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,918,228 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 902,918,228 . The biggest common factor number is the GCF number.
So the greatest common factor 902,918,228 is 2.

Lets's calculate LCM of 218,102,625

2 218, 102, 625
109, 51, 625

∴ So the LCM of the given numbers is 2 x 109 x 51 x 625 = 6948750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6948750

Therefore, the GCF of Fractions 902/218,918/102,228/625 is 2/6948750

Least Common Multiple of 218,102,625 with GCF Formula

Least Common Multiple of 218,102,625 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 218,102,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,102,625) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(218,102,625) x common factors =1 x 2 = 2

LCM(218,102,625) = ( 218 × 102 × 625 ) / 2

LCM(218,102,625) = 13897500 / 2

LCM(218,102,625) = 6948750


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 902/218, 918/102, 228/625

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 902/218, 918/102, 228/625?

Answer: GCF of Numerators as per given numbers 902/218, 918/102, 228/625 is

GCF of Numerators i.e. for 902,918,228 is 2

LCM of denominators i.e. for 218,102,625 is 6948750.

Thus, GCF of Fractions is 2/6948750.Finally, GCF of Fractions for 902/218, 918/102, 228/625 is 2/6948750.