Greatest Common Factor of 7488/453, 7017/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7488/453, 7017/479

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 7488/453,7017/479

Given fractions are 7488/453,7017/479

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 7488,7017

Greatest Common Factor of Numerators i.e. GCF of 7488,7017 is 3 .

LCM of Denominators means LCM of 453,479 as per the given fractions.

LCM of 453,479 is 216987 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7488,7017

GCF of Fractions 7488/453,7017/479 is 3/216987

3 7488, 7017
2496, 2339

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7488,7017 By Matching Biggest Common Factor Method

Greatest Common Factor of 7488,7017 By Matching Biggest Common Factor Method

Factors of 7488

List of positive integer factors of 7488 that divides 7488 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,64,72,78,96,104,117,144,156,192,208,234,288,312,416,468,576,624,832,936,1248,1872,2496,3744,7488

Factors of 7017

List of positive integer factors of 7017 that divides 7017 without a remainder.

1,3,2339,7017

Greatest Common Factor

We found the factors 7488,7017 . The biggest common factor number is the GCF number.
So the greatest common factor 7488,7017 is 3.

Lets's calculate LCM of 453,479

Given numbers has no common factors except 1. So, there LCM is their product i.e 216987

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/216987

Therefore, the GCF of Fractions 7488/453,7017/479 is 3/216987

Least Common Multiple of 453,479 with GCF Formula

Least Common Multiple of 453,479 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 453,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(453,479) = 1

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

GCF(453,479) x common factors =1 x 1 = 1

LCM(453,479) = ( 453 × 479 ) / 1

LCM(453,479) = 216987 / 1

LCM(453,479) = 216987


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 7488/453, 7017/479

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 7488/453, 7017/479?

Answer: GCF of Numerators as per given numbers 7488/453, 7017/479 is

GCF of Numerators i.e. for 7488,7017 is 3

LCM of denominators i.e. for 453,479 is 216987.

Thus, GCF of Fractions is 3/216987.Finally, GCF of Fractions for 7488/453, 7017/479 is 3/216987.