Greatest Common Factor of 3412/771, 7395/1196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3412/771, 7395/1196

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 3412/771,7395/1196

Given fractions are 3412/771,7395/1196

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 3412,7395

Greatest Common Factor of Numerators i.e. GCF of 3412,7395 is 1 .

LCM of Denominators means LCM of 771,1196 as per the given fractions.

LCM of 771,1196 is 922116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3412,7395

GCF of Fractions 3412/771,7395/1196 is 1/922116

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

Greatest Common Factor of 3412,7395 By Matching Biggest Common Factor Method

Greatest Common Factor of 3412,7395 By Matching Biggest Common Factor Method

Factors of 3412

List of positive integer factors of 3412 that divides 3412 without a remainder.

1,2,4,853,1706,3412

Factors of 7395

List of positive integer factors of 7395 that divides 7395 without a remainder.

1,3,5,15,17,29,51,85,87,145,255,435,493,1479,2465,7395

Greatest Common Factor

We found the factors 3412,7395 . The biggest common factor number is the GCF number.
So the greatest common factor 3412,7395 is 1.

Lets's calculate LCM of 771,1196

Given numbers has no common factors except 1. So, there LCM is their product i.e 922116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/922116

Therefore, the GCF of Fractions 3412/771,7395/1196 is 1/922116

Least Common Multiple of 771,1196 with GCF Formula

Least Common Multiple of 771,1196 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 771,1196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,1196) = 1

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

GCF(771,1196) x common factors =1 x 1 = 1

LCM(771,1196) = ( 771 × 1196 ) / 1

LCM(771,1196) = 922116 / 1

LCM(771,1196) = 922116


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 3412/771, 7395/1196

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 3412/771, 7395/1196?

Answer: GCF of Numerators as per given numbers 3412/771, 7395/1196 is

GCF of Numerators i.e. for 3412,7395 is 1

LCM of denominators i.e. for 771,1196 is 922116.

Thus, GCF of Fractions is 1/922116.Finally, GCF of Fractions for 3412/771, 7395/1196 is 1/922116.