Greatest Common Factor of 3268/780, 1187/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3268/780, 1187/262

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 3268/780,1187/262

Given fractions are 3268/780,1187/262

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 3268,1187

Greatest Common Factor of Numerators i.e. GCF of 3268,1187 is 1 .

LCM of Denominators means LCM of 780,262 as per the given fractions.

LCM of 780,262 is 102180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3268,1187

GCF of Fractions 3268/780,1187/262 is 1/102180

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

Greatest Common Factor of 3268,1187 By Matching Biggest Common Factor Method

Greatest Common Factor of 3268,1187 By Matching Biggest Common Factor Method

Factors of 3268

List of positive integer factors of 3268 that divides 3268 without a remainder.

1,2,4,19,38,43,76,86,172,817,1634,3268

Factors of 1187

List of positive integer factors of 1187 that divides 1187 without a remainder.

1,1187

Greatest Common Factor

We found the factors 3268,1187 . The biggest common factor number is the GCF number.
So the greatest common factor 3268,1187 is 1.

Lets's calculate LCM of 780,262

2 780, 262
390, 131

∴ So the LCM of the given numbers is 2 x 390 x 131 = 102180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102180

Therefore, the GCF of Fractions 3268/780,1187/262 is 1/102180

Least Common Multiple of 780,262 with GCF Formula

Least Common Multiple of 780,262 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 780,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,262) = 2

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

GCF(780,262) x common factors =2 x 1 = 2

LCM(780,262) = ( 780 × 262 ) / 2

LCM(780,262) = 204360 / 2

LCM(780,262) = 102180


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 3268/780, 1187/262

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 3268/780, 1187/262?

Answer: GCF of Numerators as per given numbers 3268/780, 1187/262 is

GCF of Numerators i.e. for 3268,1187 is 1

LCM of denominators i.e. for 780,262 is 102180.

Thus, GCF of Fractions is 1/102180.Finally, GCF of Fractions for 3268/780, 1187/262 is 1/102180.