Greatest Common Factor of 3806/892, 7008/6150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3806/892, 7008/6150

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 3806/892,7008/6150

Given fractions are 3806/892,7008/6150

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 3806,7008

Greatest Common Factor of Numerators i.e. GCF of 3806,7008 is 2 .

LCM of Denominators means LCM of 892,6150 as per the given fractions.

LCM of 892,6150 is 2742900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3806,7008

GCF of Fractions 3806/892,7008/6150 is 2/2742900

2 3806, 7008
1903, 3504

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3806,7008 By Matching Biggest Common Factor Method

Greatest Common Factor of 3806,7008 By Matching Biggest Common Factor Method

Factors of 3806

List of positive integer factors of 3806 that divides 3806 without a remainder.

1,2,11,22,173,346,1903,3806

Factors of 7008

List of positive integer factors of 7008 that divides 7008 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,73,96,146,219,292,438,584,876,1168,1752,2336,3504,7008

Greatest Common Factor

We found the factors 3806,7008 . The biggest common factor number is the GCF number.
So the greatest common factor 3806,7008 is 2.

Lets's calculate LCM of 892,6150

2 892, 6150
446, 3075

∴ So the LCM of the given numbers is 2 x 446 x 3075 = 2742900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2742900

Therefore, the GCF of Fractions 3806/892,7008/6150 is 2/2742900

Least Common Multiple of 892,6150 with GCF Formula

Least Common Multiple of 892,6150 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 892,6150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,6150) = 2

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

GCF(892,6150) x common factors =2 x 1 = 2

LCM(892,6150) = ( 892 × 6150 ) / 2

LCM(892,6150) = 5485800 / 2

LCM(892,6150) = 2742900


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 3806/892, 7008/6150

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 3806/892, 7008/6150?

Answer: GCF of Numerators as per given numbers 3806/892, 7008/6150 is

GCF of Numerators i.e. for 3806,7008 is 2

LCM of denominators i.e. for 892,6150 is 2742900.

Thus, GCF of Fractions is 2/2742900.Finally, GCF of Fractions for 3806/892, 7008/6150 is 2/2742900.