Greatest Common Factor of 242/32, 960/6700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 242/32, 960/6700

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 242/32,960/6700

Given fractions are 242/32,960/6700

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 242,960

Greatest Common Factor of Numerators i.e. GCF of 242,960 is 2 .

LCM of Denominators means LCM of 32,6700 as per the given fractions.

LCM of 32,6700 is 53600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 242,960

GCF of Fractions 242/32,960/6700 is 2/53600

2 242, 960
121, 480

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

Greatest Common Factor of 242,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,960 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 242,960 . The biggest common factor number is the GCF number.
So the greatest common factor 242,960 is 2.

Lets's calculate LCM of 32,6700

2 32, 6700
2 16, 3350
8, 1675

∴ So the LCM of the given numbers is 2 x 2 x 8 x 1675 = 53600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53600

Therefore, the GCF of Fractions 242/32,960/6700 is 2/53600

Least Common Multiple of 32,6700 with GCF Formula

Least Common Multiple of 32,6700 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 32,6700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,6700) = 4

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

GCF(32,6700) x common factors =4 x 1 = 4

LCM(32,6700) = ( 32 × 6700 ) / 4

LCM(32,6700) = 214400 / 4

LCM(32,6700) = 53600


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 242/32, 960/6700

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 242/32, 960/6700?

Answer: GCF of Numerators as per given numbers 242/32, 960/6700 is

GCF of Numerators i.e. for 242,960 is 2

LCM of denominators i.e. for 32,6700 is 53600.

Thus, GCF of Fractions is 2/53600.Finally, GCF of Fractions for 242/32, 960/6700 is 2/53600.