Greatest Common Factor of 374/43, 318/7276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 374/43, 318/7276

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 374/43,318/7276

Given fractions are 374/43,318/7276

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 374,318

Greatest Common Factor of Numerators i.e. GCF of 374,318 is 2 .

LCM of Denominators means LCM of 43,7276 as per the given fractions.

LCM of 43,7276 is 312868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 374,318

GCF of Fractions 374/43,318/7276 is 2/312868

2 374, 318
187, 159

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

Greatest Common Factor of 374,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,318 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 374,318 . The biggest common factor number is the GCF number.
So the greatest common factor 374,318 is 2.

Lets's calculate LCM of 43,7276

Given numbers has no common factors except 1. So, there LCM is their product i.e 312868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/312868

Therefore, the GCF of Fractions 374/43,318/7276 is 2/312868

Least Common Multiple of 43,7276 with GCF Formula

Least Common Multiple of 43,7276 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 43,7276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,7276) = 1

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

GCF(43,7276) x common factors =1 x 1 = 1

LCM(43,7276) = ( 43 × 7276 ) / 1

LCM(43,7276) = 312868 / 1

LCM(43,7276) = 312868


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 374/43, 318/7276

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 374/43, 318/7276?

Answer: GCF of Numerators as per given numbers 374/43, 318/7276 is

GCF of Numerators i.e. for 374,318 is 2

LCM of denominators i.e. for 43,7276 is 312868.

Thus, GCF of Fractions is 2/312868.Finally, GCF of Fractions for 374/43, 318/7276 is 2/312868.