Greatest Common Factor of 6256/352, 2720/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6256/352, 2720/390

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 6256/352,2720/390

Given fractions are 6256/352,2720/390

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 6256,2720

Greatest Common Factor of Numerators i.e. GCF of 6256,2720 is 272 .

LCM of Denominators means LCM of 352,390 as per the given fractions.

LCM of 352,390 is 68640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6256,2720

GCF of Fractions 6256/352,2720/390 is 272/68640

2 6256, 2720
2 3128, 1360
2 1564, 680
2 782, 340
17 391, 170
23, 10

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 17 = 272

Greatest Common Factor of 6256,2720 By Matching Biggest Common Factor Method

Greatest Common Factor of 6256,2720 By Matching Biggest Common Factor Method

Factors of 6256

List of positive integer factors of 6256 that divides 6256 without a remainder.

1,2,4,8,16,17,23,34,46,68,92,136,184,272,368,391,782,1564,3128,6256

Factors of 2720

List of positive integer factors of 2720 that divides 2720 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720

Greatest Common Factor

We found the factors 6256,2720 . The biggest common factor number is the GCF number.
So the greatest common factor 6256,2720 is 272.

Lets's calculate LCM of 352,390

2 352, 390
176, 195

∴ So the LCM of the given numbers is 2 x 176 x 195 = 68640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 272/68640

Therefore, the GCF of Fractions 6256/352,2720/390 is 272/68640

Least Common Multiple of 352,390 with GCF Formula

Least Common Multiple of 352,390 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 352,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,390) = 2

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

GCF(352,390) x common factors =2 x 1 = 2

LCM(352,390) = ( 352 × 390 ) / 2

LCM(352,390) = 137280 / 2

LCM(352,390) = 68640


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 6256/352, 2720/390

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 6256/352, 2720/390?

Answer: GCF of Numerators as per given numbers 6256/352, 2720/390 is

GCF of Numerators i.e. for 6256,2720 is 272

LCM of denominators i.e. for 352,390 is 68640.

Thus, GCF of Fractions is 272/68640.Finally, GCF of Fractions for 6256/352, 2720/390 is 272/68640.