Greatest Common Factor of 700/73, 240/12, 600/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 700/73, 240/12, 600/244

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 700/73,240/12,600/244

Given fractions are 700/73,240/12,600/244

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 700,240,600

Greatest Common Factor of Numerators i.e. GCF of 700,240,600 is 20 .

LCM of Denominators means LCM of 73,12,244 as per the given fractions.

LCM of 73,12,244 is 53436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 700,240,600

GCF of Fractions 700/73,240/12,600/244 is 20/53436

2 700, 240, 600
2 350, 120, 300
5 175, 60, 150
35, 12, 30

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 700,240,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,240,600 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 700,240,600 . The biggest common factor number is the GCF number.
So the greatest common factor 700,240,600 is 20.

Lets's calculate LCM of 73,12,244

2 73, 12, 244
2 73, 6, 122
73, 3, 61

∴ So the LCM of the given numbers is 2 x 2 x 73 x 3 x 61 = 53436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/53436

Therefore, the GCF of Fractions 700/73,240/12,600/244 is 20/53436

Least Common Multiple of 73,12,244 with GCF Formula

Least Common Multiple of 73,12,244 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 73,12,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,12,244) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(73,12,244) x common factors =1 x 4 = 4

LCM(73,12,244) = ( 73 × 12 × 244 ) / 4

LCM(73,12,244) = 213744 / 4

LCM(73,12,244) = 53436


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 700/73, 240/12, 600/244

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 700/73, 240/12, 600/244?

Answer: GCF of Numerators as per given numbers 700/73, 240/12, 600/244 is

GCF of Numerators i.e. for 700,240,600 is 20

LCM of denominators i.e. for 73,12,244 is 53436.

Thus, GCF of Fractions is 20/53436.Finally, GCF of Fractions for 700/73, 240/12, 600/244 is 20/53436.