Greatest Common Factor of 100/190, 7480/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 100/190, 7480/699

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 100/190,7480/699

Given fractions are 100/190,7480/699

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 100,7480

Greatest Common Factor of Numerators i.e. GCF of 100,7480 is 20 .

LCM of Denominators means LCM of 190,699 as per the given fractions.

LCM of 190,699 is 132810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 100,7480

GCF of Fractions 100/190,7480/699 is 20/132810

2 100, 7480
2 50, 3740
5 25, 1870
5, 374

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

Greatest Common Factor of 100,7480 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,7480 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 7480

List of positive integer factors of 7480 that divides 7480 without a remainder.

1,2,4,5,8,10,11,17,20,22,34,40,44,55,68,85,88,110,136,170,187,220,340,374,440,680,748,935,1496,1870,3740,7480

Greatest Common Factor

We found the factors 100,7480 . The biggest common factor number is the GCF number.
So the greatest common factor 100,7480 is 20.

Lets's calculate LCM of 190,699

Given numbers has no common factors except 1. So, there LCM is their product i.e 132810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/132810

Therefore, the GCF of Fractions 100/190,7480/699 is 20/132810

Least Common Multiple of 190,699 with GCF Formula

Least Common Multiple of 190,699 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 190,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,699) = 1

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

GCF(190,699) x common factors =1 x 1 = 1

LCM(190,699) = ( 190 × 699 ) / 1

LCM(190,699) = 132810 / 1

LCM(190,699) = 132810


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 100/190, 7480/699

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 100/190, 7480/699?

Answer: GCF of Numerators as per given numbers 100/190, 7480/699 is

GCF of Numerators i.e. for 100,7480 is 20

LCM of denominators i.e. for 190,699 is 132810.

Thus, GCF of Fractions is 20/132810.Finally, GCF of Fractions for 100/190, 7480/699 is 20/132810.