Greatest Common Factor of 7452/185, 6570/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7452/185, 6570/298

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 7452/185,6570/298

Given fractions are 7452/185,6570/298

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 7452,6570

Greatest Common Factor of Numerators i.e. GCF of 7452,6570 is 18 .

LCM of Denominators means LCM of 185,298 as per the given fractions.

LCM of 185,298 is 55130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7452,6570

GCF of Fractions 7452/185,6570/298 is 18/55130

2 7452, 6570
3 3726, 3285
3 1242, 1095
414, 365

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 7452,6570 By Matching Biggest Common Factor Method

Greatest Common Factor of 7452,6570 By Matching Biggest Common Factor Method

Factors of 7452

List of positive integer factors of 7452 that divides 7452 without a remainder.

1,2,3,4,6,9,12,18,23,27,36,46,54,69,81,92,108,138,162,207,276,324,414,621,828,1242,1863,2484,3726,7452

Factors of 6570

List of positive integer factors of 6570 that divides 6570 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,73,90,146,219,365,438,657,730,1095,1314,2190,3285,6570

Greatest Common Factor

We found the factors 7452,6570 . The biggest common factor number is the GCF number.
So the greatest common factor 7452,6570 is 18.

Lets's calculate LCM of 185,298

Given numbers has no common factors except 1. So, there LCM is their product i.e 55130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/55130

Therefore, the GCF of Fractions 7452/185,6570/298 is 18/55130

Least Common Multiple of 185,298 with GCF Formula

Least Common Multiple of 185,298 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 185,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,298) = 1

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

GCF(185,298) x common factors =1 x 1 = 1

LCM(185,298) = ( 185 × 298 ) / 1

LCM(185,298) = 55130 / 1

LCM(185,298) = 55130


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 7452/185, 6570/298

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 7452/185, 6570/298?

Answer: GCF of Numerators as per given numbers 7452/185, 6570/298 is

GCF of Numerators i.e. for 7452,6570 is 18

LCM of denominators i.e. for 185,298 is 55130.

Thus, GCF of Fractions is 18/55130.Finally, GCF of Fractions for 7452/185, 6570/298 is 18/55130.