Greatest Common Factor of 7460/504, 3088/5382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7460/504, 3088/5382

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 7460/504,3088/5382

Given fractions are 7460/504,3088/5382

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 7460,3088

Greatest Common Factor of Numerators i.e. GCF of 7460,3088 is 4 .

LCM of Denominators means LCM of 504,5382 as per the given fractions.

LCM of 504,5382 is 150696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7460,3088

GCF of Fractions 7460/504,3088/5382 is 4/150696

2 7460, 3088
2 3730, 1544
1865, 772

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7460,3088 By Matching Biggest Common Factor Method

Greatest Common Factor of 7460,3088 By Matching Biggest Common Factor Method

Factors of 7460

List of positive integer factors of 7460 that divides 7460 without a remainder.

1,2,4,5,10,20,373,746,1492,1865,3730,7460

Factors of 3088

List of positive integer factors of 3088 that divides 3088 without a remainder.

1,2,4,8,16,193,386,772,1544,3088

Greatest Common Factor

We found the factors 7460,3088 . The biggest common factor number is the GCF number.
So the greatest common factor 7460,3088 is 4.

Lets's calculate LCM of 504,5382

2 504, 5382
3 252, 2691
3 84, 897
28, 299

∴ So the LCM of the given numbers is 2 x 3 x 3 x 28 x 299 = 150696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/150696

Therefore, the GCF of Fractions 7460/504,3088/5382 is 4/150696

Least Common Multiple of 504,5382 with GCF Formula

Least Common Multiple of 504,5382 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 504,5382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,5382) = 18

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

GCF(504,5382) x common factors =18 x 1 = 18

LCM(504,5382) = ( 504 × 5382 ) / 18

LCM(504,5382) = 2712528 / 18

LCM(504,5382) = 150696


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 7460/504, 3088/5382

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 7460/504, 3088/5382?

Answer: GCF of Numerators as per given numbers 7460/504, 3088/5382 is

GCF of Numerators i.e. for 7460,3088 is 4

LCM of denominators i.e. for 504,5382 is 150696.

Thus, GCF of Fractions is 4/150696.Finally, GCF of Fractions for 7460/504, 3088/5382 is 4/150696.