Greatest Common Factor of 5385/474, 7336/3700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5385/474, 7336/3700

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 5385/474,7336/3700

Given fractions are 5385/474,7336/3700

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 5385,7336

Greatest Common Factor of Numerators i.e. GCF of 5385,7336 is 1 .

LCM of Denominators means LCM of 474,3700 as per the given fractions.

LCM of 474,3700 is 876900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5385,7336

GCF of Fractions 5385/474,7336/3700 is 1/876900

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

Greatest Common Factor of 5385,7336 By Matching Biggest Common Factor Method

Greatest Common Factor of 5385,7336 By Matching Biggest Common Factor Method

Factors of 5385

List of positive integer factors of 5385 that divides 5385 without a remainder.

1,3,5,15,359,1077,1795,5385

Factors of 7336

List of positive integer factors of 7336 that divides 7336 without a remainder.

1,2,4,7,8,14,28,56,131,262,524,917,1048,1834,3668,7336

Greatest Common Factor

We found the factors 5385,7336 . The biggest common factor number is the GCF number.
So the greatest common factor 5385,7336 is 1.

Lets's calculate LCM of 474,3700

2 474, 3700
237, 1850

∴ So the LCM of the given numbers is 2 x 237 x 1850 = 876900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/876900

Therefore, the GCF of Fractions 5385/474,7336/3700 is 1/876900

Least Common Multiple of 474,3700 with GCF Formula

Least Common Multiple of 474,3700 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 474,3700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,3700) = 2

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

GCF(474,3700) x common factors =2 x 1 = 2

LCM(474,3700) = ( 474 × 3700 ) / 2

LCM(474,3700) = 1753800 / 2

LCM(474,3700) = 876900


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 5385/474, 7336/3700

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 5385/474, 7336/3700?

Answer: GCF of Numerators as per given numbers 5385/474, 7336/3700 is

GCF of Numerators i.e. for 5385,7336 is 1

LCM of denominators i.e. for 474,3700 is 876900.

Thus, GCF of Fractions is 1/876900.Finally, GCF of Fractions for 5385/474, 7336/3700 is 1/876900.