Greatest Common Factor of 787/44, 378/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 787/44, 378/244

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 787/44,378/244

Given fractions are 787/44,378/244

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 787,378

Greatest Common Factor of Numerators i.e. GCF of 787,378 is 1 .

LCM of Denominators means LCM of 44,244 as per the given fractions.

LCM of 44,244 is 2684 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 787,378

GCF of Fractions 787/44,378/244 is 1/2684

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

Greatest Common Factor of 787,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,378 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 787,378 . The biggest common factor number is the GCF number.
So the greatest common factor 787,378 is 1.

Lets's calculate LCM of 44,244

2 44, 244
2 22, 122
11, 61

∴ So the LCM of the given numbers is 2 x 2 x 11 x 61 = 2684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2684

Therefore, the GCF of Fractions 787/44,378/244 is 1/2684

Least Common Multiple of 44,244 with GCF Formula

Least Common Multiple of 44,244 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 44,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,244) = 4

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

GCF(44,244) x common factors =4 x 1 = 4

LCM(44,244) = ( 44 × 244 ) / 4

LCM(44,244) = 10736 / 4

LCM(44,244) = 2684


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 787/44, 378/244

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 787/44, 378/244?

Answer: GCF of Numerators as per given numbers 787/44, 378/244 is

GCF of Numerators i.e. for 787,378 is 1

LCM of denominators i.e. for 44,244 is 2684.

Thus, GCF of Fractions is 1/2684.Finally, GCF of Fractions for 787/44, 378/244 is 1/2684.