Greatest Common Factor of 7840/900, 3805/3101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7840/900, 3805/3101

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 7840/900,3805/3101

Given fractions are 7840/900,3805/3101

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 7840,3805

Greatest Common Factor of Numerators i.e. GCF of 7840,3805 is 5 .

LCM of Denominators means LCM of 900,3101 as per the given fractions.

LCM of 900,3101 is 2790900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7840,3805

GCF of Fractions 7840/900,3805/3101 is 5/2790900

5 7840, 3805
1568, 761

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

Greatest Common Factor of 7840,3805 By Matching Biggest Common Factor Method

Greatest Common Factor of 7840,3805 By Matching Biggest Common Factor Method

Factors of 7840

List of positive integer factors of 7840 that divides 7840 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,49,56,70,80,98,112,140,160,196,224,245,280,392,490,560,784,980,1120,1568,1960,3920,7840

Factors of 3805

List of positive integer factors of 3805 that divides 3805 without a remainder.

1,5,761,3805

Greatest Common Factor

We found the factors 7840,3805 . The biggest common factor number is the GCF number.
So the greatest common factor 7840,3805 is 5.

Lets's calculate LCM of 900,3101

Given numbers has no common factors except 1. So, there LCM is their product i.e 2790900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2790900

Therefore, the GCF of Fractions 7840/900,3805/3101 is 5/2790900

Least Common Multiple of 900,3101 with GCF Formula

Least Common Multiple of 900,3101 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 900,3101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,3101) = 1

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

GCF(900,3101) x common factors =1 x 1 = 1

LCM(900,3101) = ( 900 × 3101 ) / 1

LCM(900,3101) = 2790900 / 1

LCM(900,3101) = 2790900


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 7840/900, 3805/3101

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 7840/900, 3805/3101?

Answer: GCF of Numerators as per given numbers 7840/900, 3805/3101 is

GCF of Numerators i.e. for 7840,3805 is 5

LCM of denominators i.e. for 900,3101 is 2790900.

Thus, GCF of Fractions is 5/2790900.Finally, GCF of Fractions for 7840/900, 3805/3101 is 5/2790900.