Greatest Common Factor of 6225/292, 7040/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6225/292, 7040/864

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 6225/292,7040/864

Given fractions are 6225/292,7040/864

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 6225,7040

Greatest Common Factor of Numerators i.e. GCF of 6225,7040 is 5 .

LCM of Denominators means LCM of 292,864 as per the given fractions.

LCM of 292,864 is 63072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6225,7040

GCF of Fractions 6225/292,7040/864 is 5/63072

5 6225, 7040
1245, 1408

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6225,7040 By Matching Biggest Common Factor Method

Greatest Common Factor of 6225,7040 By Matching Biggest Common Factor Method

Factors of 6225

List of positive integer factors of 6225 that divides 6225 without a remainder.

1,3,5,15,25,75,83,249,415,1245,2075,6225

Factors of 7040

List of positive integer factors of 7040 that divides 7040 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,128,160,176,220,320,352,440,640,704,880,1408,1760,3520,7040

Greatest Common Factor

We found the factors 6225,7040 . The biggest common factor number is the GCF number.
So the greatest common factor 6225,7040 is 5.

Lets's calculate LCM of 292,864

2 292, 864
2 146, 432
73, 216

∴ So the LCM of the given numbers is 2 x 2 x 73 x 216 = 63072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/63072

Therefore, the GCF of Fractions 6225/292,7040/864 is 5/63072

Least Common Multiple of 292,864 with GCF Formula

Least Common Multiple of 292,864 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 292,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,864) = 4

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

GCF(292,864) x common factors =4 x 1 = 4

LCM(292,864) = ( 292 × 864 ) / 4

LCM(292,864) = 252288 / 4

LCM(292,864) = 63072


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 6225/292, 7040/864

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 6225/292, 7040/864?

Answer: GCF of Numerators as per given numbers 6225/292, 7040/864 is

GCF of Numerators i.e. for 6225,7040 is 5

LCM of denominators i.e. for 292,864 is 63072.

Thus, GCF of Fractions is 5/63072.Finally, GCF of Fractions for 6225/292, 7040/864 is 5/63072.