Greatest Common Factor of 395/738, 157/974, 373/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 395/738, 157/974, 373/440

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 395/738,157/974,373/440

Given fractions are 395/738,157/974,373/440

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 395,157,373

Greatest Common Factor of Numerators i.e. GCF of 395,157,373 is 1 .

LCM of Denominators means LCM of 738,974,440 as per the given fractions.

LCM of 738,974,440 is 79069320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 395,157,373

GCF of Fractions 395/738,157/974,373/440 is 1/79069320

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

Greatest Common Factor of 395,157,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 395,157,373 By Matching Biggest Common Factor Method

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 157

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

1,157

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors 395,157,373 . The biggest common factor number is the GCF number.
So the greatest common factor 395,157,373 is 1.

Lets's calculate LCM of 738,974,440

2 738, 974, 440
369, 487, 220

∴ So the LCM of the given numbers is 2 x 369 x 487 x 220 = 79069320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79069320

Therefore, the GCF of Fractions 395/738,157/974,373/440 is 1/79069320

Least Common Multiple of 738,974,440 with GCF Formula

Least Common Multiple of 738,974,440 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 738,974,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,974,440) = 2

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

GCF(738,974,440) x common factors =2 x 2 = 4

LCM(738,974,440) = ( 738 × 974 × 440 ) / 4

LCM(738,974,440) = 316277280 / 4

LCM(738,974,440) = 79069320


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 395/738, 157/974, 373/440

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 395/738, 157/974, 373/440?

Answer: GCF of Numerators as per given numbers 395/738, 157/974, 373/440 is

GCF of Numerators i.e. for 395,157,373 is 1

LCM of denominators i.e. for 738,974,440 is 79069320.

Thus, GCF of Fractions is 1/79069320.Finally, GCF of Fractions for 395/738, 157/974, 373/440 is 1/79069320.