Greatest Common Factor of 702/11, 9900/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 702/11, 9900/154

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 702/11,9900/154

Given fractions are 702/11,9900/154

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 702,9900

Greatest Common Factor of Numerators i.e. GCF of 702,9900 is 18 .

LCM of Denominators means LCM of 11,154 as per the given fractions.

LCM of 11,154 is 154 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 702,9900

GCF of Fractions 702/11,9900/154 is 18/154

2 702, 9900
3 351, 4950
3 117, 1650
39, 550

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 702,9900 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,9900 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 9900

List of positive integer factors of 9900 that divides 9900 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,25,30,33,36,44,45,50,55,60,66,75,90,99,100,110,132,150,165,180,198,220,225,275,300,330,396,450,495,550,660,825,900,990,1100,1650,1980,2475,3300,4950,9900

Greatest Common Factor

We found the factors 702,9900 . The biggest common factor number is the GCF number.
So the greatest common factor 702,9900 is 18.

Lets's calculate LCM of 11,154

11 11, 154
1, 14

∴ So the LCM of the given numbers is 11 x 1 x 14 = 154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/154

Therefore, the GCF of Fractions 702/11,9900/154 is 18/154

Least Common Multiple of 11,154 with GCF Formula

Least Common Multiple of 11,154 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 11,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,154) = 11

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

GCF(11,154) x common factors =11 x 1 = 11

LCM(11,154) = ( 11 × 154 ) / 11

LCM(11,154) = 1694 / 11

LCM(11,154) = 154


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 702/11, 9900/154

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 702/11, 9900/154?

Answer: GCF of Numerators as per given numbers 702/11, 9900/154 is

GCF of Numerators i.e. for 702,9900 is 18

LCM of denominators i.e. for 11,154 is 154.

Thus, GCF of Fractions is 18/154.Finally, GCF of Fractions for 702/11, 9900/154 is 18/154.