Greatest Common Factor of 7405/14, 8071/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7405/14, 8071/100

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 7405/14,8071/100

Given fractions are 7405/14,8071/100

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 7405,8071

Greatest Common Factor of Numerators i.e. GCF of 7405,8071 is 1 .

LCM of Denominators means LCM of 14,100 as per the given fractions.

LCM of 14,100 is 700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7405,8071

GCF of Fractions 7405/14,8071/100 is 1/700

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

Greatest Common Factor of 7405,8071 By Matching Biggest Common Factor Method

Greatest Common Factor of 7405,8071 By Matching Biggest Common Factor Method

Factors of 7405

List of positive integer factors of 7405 that divides 7405 without a remainder.

1,5,1481,7405

Factors of 8071

List of positive integer factors of 8071 that divides 8071 without a remainder.

1,7,1153,8071

Greatest Common Factor

We found the factors 7405,8071 . The biggest common factor number is the GCF number.
So the greatest common factor 7405,8071 is 1.

Lets's calculate LCM of 14,100

2 14, 100
7, 50

∴ So the LCM of the given numbers is 2 x 7 x 50 = 700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/700

Therefore, the GCF of Fractions 7405/14,8071/100 is 1/700

Least Common Multiple of 14,100 with GCF Formula

Least Common Multiple of 14,100 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 14,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,100) = 2

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

GCF(14,100) x common factors =2 x 1 = 2

LCM(14,100) = ( 14 × 100 ) / 2

LCM(14,100) = 1400 / 2

LCM(14,100) = 700


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 7405/14, 8071/100

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 7405/14, 8071/100?

Answer: GCF of Numerators as per given numbers 7405/14, 8071/100 is

GCF of Numerators i.e. for 7405,8071 is 1

LCM of denominators i.e. for 14,100 is 700.

Thus, GCF of Fractions is 1/700.Finally, GCF of Fractions for 7405/14, 8071/100 is 1/700.