Greatest Common Factor of 700/900, 124/550, 739/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 700/900, 124/550, 739/190

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 700/900,124/550,739/190

Given fractions are 700/900,124/550,739/190

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 700,124,739

Greatest Common Factor of Numerators i.e. GCF of 700,124,739 is 1 .

LCM of Denominators means LCM of 900,550,190 as per the given fractions.

LCM of 900,550,190 is 188100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 700,124,739

GCF of Fractions 700/900,124/550,739/190 is 1/188100

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 700,124,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,124,739 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 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 700,124,739 . The biggest common factor number is the GCF number.
So the greatest common factor 700,124,739 is 1.

Lets's calculate LCM of 900,550,190

2 900, 550, 190
5 450, 275, 95
5 90, 55, 19
18, 11, 19

∴ So the LCM of the given numbers is 2 x 5 x 5 x 18 x 11 x 19 = 188100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188100

Therefore, the GCF of Fractions 700/900,124/550,739/190 is 1/188100

Least Common Multiple of 900,550,190 with GCF Formula

Least Common Multiple of 900,550,190 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 900,550,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,550,190) = 10

common factors(in case of two or more numbers have common factors) = 50

GCF(900,550,190) x common factors =10 x 50 = 500

LCM(900,550,190) = ( 900 × 550 × 190 ) / 500

LCM(900,550,190) = 94050000 / 500

LCM(900,550,190) = 188100


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 700/900, 124/550, 739/190

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 700/900, 124/550, 739/190?

Answer: GCF of Numerators as per given numbers 700/900, 124/550, 739/190 is

GCF of Numerators i.e. for 700,124,739 is 1

LCM of denominators i.e. for 900,550,190 is 188100.

Thus, GCF of Fractions is 1/188100.Finally, GCF of Fractions for 700/900, 124/550, 739/190 is 1/188100.