Greatest Common Factor of 3774/693, 8276/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3774/693, 8276/431

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 3774/693,8276/431

Given fractions are 3774/693,8276/431

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 3774,8276

Greatest Common Factor of Numerators i.e. GCF of 3774,8276 is 2 .

LCM of Denominators means LCM of 693,431 as per the given fractions.

LCM of 693,431 is 298683 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3774,8276

GCF of Fractions 3774/693,8276/431 is 2/298683

2 3774, 8276
1887, 4138

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

Greatest Common Factor of 3774,8276 By Matching Biggest Common Factor Method

Greatest Common Factor of 3774,8276 By Matching Biggest Common Factor Method

Factors of 3774

List of positive integer factors of 3774 that divides 3774 without a remainder.

1,2,3,6,17,34,37,51,74,102,111,222,629,1258,1887,3774

Factors of 8276

List of positive integer factors of 8276 that divides 8276 without a remainder.

1,2,4,2069,4138,8276

Greatest Common Factor

We found the factors 3774,8276 . The biggest common factor number is the GCF number.
So the greatest common factor 3774,8276 is 2.

Lets's calculate LCM of 693,431

Given numbers has no common factors except 1. So, there LCM is their product i.e 298683

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/298683

Therefore, the GCF of Fractions 3774/693,8276/431 is 2/298683

Least Common Multiple of 693,431 with GCF Formula

Least Common Multiple of 693,431 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 693,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,431) = 1

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

GCF(693,431) x common factors =1 x 1 = 1

LCM(693,431) = ( 693 × 431 ) / 1

LCM(693,431) = 298683 / 1

LCM(693,431) = 298683


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 3774/693, 8276/431

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 3774/693, 8276/431?

Answer: GCF of Numerators as per given numbers 3774/693, 8276/431 is

GCF of Numerators i.e. for 3774,8276 is 2

LCM of denominators i.e. for 693,431 is 298683.

Thus, GCF of Fractions is 2/298683.Finally, GCF of Fractions for 3774/693, 8276/431 is 2/298683.