Greatest Common Factor of 9048/484, 6270/5363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9048/484, 6270/5363

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 9048/484,6270/5363

Given fractions are 9048/484,6270/5363

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 9048,6270

Greatest Common Factor of Numerators i.e. GCF of 9048,6270 is 6 .

LCM of Denominators means LCM of 484,5363 as per the given fractions.

LCM of 484,5363 is 2595692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9048,6270

GCF of Fractions 9048/484,6270/5363 is 6/2595692

2 9048, 6270
3 4524, 3135
1508, 1045

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9048,6270 By Matching Biggest Common Factor Method

Greatest Common Factor of 9048,6270 By Matching Biggest Common Factor Method

Factors of 9048

List of positive integer factors of 9048 that divides 9048 without a remainder.

1,2,3,4,6,8,12,13,24,26,29,39,52,58,78,87,104,116,156,174,232,312,348,377,696,754,1131,1508,2262,3016,4524,9048

Factors of 6270

List of positive integer factors of 6270 that divides 6270 without a remainder.

1,2,3,5,6,10,11,15,19,22,30,33,38,55,57,66,95,110,114,165,190,209,285,330,418,570,627,1045,1254,2090,3135,6270

Greatest Common Factor

We found the factors 9048,6270 . The biggest common factor number is the GCF number.
So the greatest common factor 9048,6270 is 6.

Lets's calculate LCM of 484,5363

Given numbers has no common factors except 1. So, there LCM is their product i.e 2595692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2595692

Therefore, the GCF of Fractions 9048/484,6270/5363 is 6/2595692

Least Common Multiple of 484,5363 with GCF Formula

Least Common Multiple of 484,5363 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 484,5363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,5363) = 1

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

GCF(484,5363) x common factors =1 x 1 = 1

LCM(484,5363) = ( 484 × 5363 ) / 1

LCM(484,5363) = 2595692 / 1

LCM(484,5363) = 2595692


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 9048/484, 6270/5363

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 9048/484, 6270/5363?

Answer: GCF of Numerators as per given numbers 9048/484, 6270/5363 is

GCF of Numerators i.e. for 9048,6270 is 6

LCM of denominators i.e. for 484,5363 is 2595692.

Thus, GCF of Fractions is 6/2595692.Finally, GCF of Fractions for 9048/484, 6270/5363 is 6/2595692.