Greatest Common Factor of 7755/407, 9800/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7755/407, 9800/721

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 7755/407,9800/721

Given fractions are 7755/407,9800/721

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 7755,9800

Greatest Common Factor of Numerators i.e. GCF of 7755,9800 is 5 .

LCM of Denominators means LCM of 407,721 as per the given fractions.

LCM of 407,721 is 293447 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7755,9800

GCF of Fractions 7755/407,9800/721 is 5/293447

5 7755, 9800
1551, 1960

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7755,9800 By Matching Biggest Common Factor Method

Greatest Common Factor of 7755,9800 By Matching Biggest Common Factor Method

Factors of 7755

List of positive integer factors of 7755 that divides 7755 without a remainder.

1,3,5,11,15,33,47,55,141,165,235,517,705,1551,2585,7755

Factors of 9800

List of positive integer factors of 9800 that divides 9800 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,49,50,56,70,98,100,140,175,196,200,245,280,350,392,490,700,980,1225,1400,1960,2450,4900,9800

Greatest Common Factor

We found the factors 7755,9800 . The biggest common factor number is the GCF number.
So the greatest common factor 7755,9800 is 5.

Lets's calculate LCM of 407,721

Given numbers has no common factors except 1. So, there LCM is their product i.e 293447

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/293447

Therefore, the GCF of Fractions 7755/407,9800/721 is 5/293447

Least Common Multiple of 407,721 with GCF Formula

Least Common Multiple of 407,721 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 407,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,721) = 1

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

GCF(407,721) x common factors =1 x 1 = 1

LCM(407,721) = ( 407 × 721 ) / 1

LCM(407,721) = 293447 / 1

LCM(407,721) = 293447


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 7755/407, 9800/721

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 7755/407, 9800/721?

Answer: GCF of Numerators as per given numbers 7755/407, 9800/721 is

GCF of Numerators i.e. for 7755,9800 is 5

LCM of denominators i.e. for 407,721 is 293447.

Thus, GCF of Fractions is 5/293447.Finally, GCF of Fractions for 7755/407, 9800/721 is 5/293447.