Greatest Common Factor of 45/584, 918/438, 474/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/584, 918/438, 474/948

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 45/584,918/438,474/948

Given fractions are 45/584,918/438,474/948

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 45,918,474

Greatest Common Factor of Numerators i.e. GCF of 45,918,474 is 3 .

LCM of Denominators means LCM of 584,438,948 as per the given fractions.

LCM of 584,438,948 is 138408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,918,474

GCF of Fractions 45/584,918/438,474/948 is 3/138408

3 45, 918, 474
15, 306, 158

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 45,918,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,918,474 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

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 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 45,918,474 . The biggest common factor number is the GCF number.
So the greatest common factor 45,918,474 is 3.

Lets's calculate LCM of 584,438,948

2 584, 438, 948
2 292, 219, 474
3 146, 219, 237
73 146, 73, 79
2, 1, 79

∴ So the LCM of the given numbers is 2 x 2 x 3 x 73 x 2 x 1 x 79 = 138408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/138408

Therefore, the GCF of Fractions 45/584,918/438,474/948 is 3/138408

Least Common Multiple of 584,438,948 with GCF Formula

Least Common Multiple of 584,438,948 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 584,438,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,438,948) = 2

common factors(in case of two or more numbers have common factors) = 876

GCF(584,438,948) x common factors =2 x 876 = 1752

LCM(584,438,948) = ( 584 × 438 × 948 ) / 1752

LCM(584,438,948) = 242490816 / 1752

LCM(584,438,948) = 138408


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 45/584, 918/438, 474/948

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 45/584, 918/438, 474/948?

Answer: GCF of Numerators as per given numbers 45/584, 918/438, 474/948 is

GCF of Numerators i.e. for 45,918,474 is 3

LCM of denominators i.e. for 584,438,948 is 138408.

Thus, GCF of Fractions is 3/138408.Finally, GCF of Fractions for 45/584, 918/438, 474/948 is 3/138408.