Greatest Common Factor of 7483/274, 9576/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7483/274, 9576/354

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 7483/274,9576/354

Given fractions are 7483/274,9576/354

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 7483,9576

Greatest Common Factor of Numerators i.e. GCF of 7483,9576 is 7 .

LCM of Denominators means LCM of 274,354 as per the given fractions.

LCM of 274,354 is 48498 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7483,9576

GCF of Fractions 7483/274,9576/354 is 7/48498

7 7483, 9576
1069, 1368

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 7483,9576 By Matching Biggest Common Factor Method

Greatest Common Factor of 7483,9576 By Matching Biggest Common Factor Method

Factors of 7483

List of positive integer factors of 7483 that divides 7483 without a remainder.

1,7,1069,7483

Factors of 9576

List of positive integer factors of 9576 that divides 9576 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576

Greatest Common Factor

We found the factors 7483,9576 . The biggest common factor number is the GCF number.
So the greatest common factor 7483,9576 is 7.

Lets's calculate LCM of 274,354

2 274, 354
137, 177

∴ So the LCM of the given numbers is 2 x 137 x 177 = 48498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/48498

Therefore, the GCF of Fractions 7483/274,9576/354 is 7/48498

Least Common Multiple of 274,354 with GCF Formula

Least Common Multiple of 274,354 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 274,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,354) = 2

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

GCF(274,354) x common factors =2 x 1 = 2

LCM(274,354) = ( 274 × 354 ) / 2

LCM(274,354) = 96996 / 2

LCM(274,354) = 48498


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 7483/274, 9576/354

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 7483/274, 9576/354?

Answer: GCF of Numerators as per given numbers 7483/274, 9576/354 is

GCF of Numerators i.e. for 7483,9576 is 7

LCM of denominators i.e. for 274,354 is 48498.

Thus, GCF of Fractions is 7/48498.Finally, GCF of Fractions for 7483/274, 9576/354 is 7/48498.