Greatest Common Factor of 945/714, 1098/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 945/714, 1098/287

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 945/714,1098/287

Given fractions are 945/714,1098/287

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 945,1098

Greatest Common Factor of Numerators i.e. GCF of 945,1098 is 9 .

LCM of Denominators means LCM of 714,287 as per the given fractions.

LCM of 714,287 is 29274 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 945,1098

GCF of Fractions 945/714,1098/287 is 9/29274

3 945, 1098
3 315, 366
105, 122

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 945,1098 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,1098 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 1098

List of positive integer factors of 1098 that divides 1098 without a remainder.

1,2,3,6,9,18,61,122,183,366,549,1098

Greatest Common Factor

We found the factors 945,1098 . The biggest common factor number is the GCF number.
So the greatest common factor 945,1098 is 9.

Lets's calculate LCM of 714,287

7 714, 287
102, 41

∴ So the LCM of the given numbers is 7 x 102 x 41 = 29274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/29274

Therefore, the GCF of Fractions 945/714,1098/287 is 9/29274

Least Common Multiple of 714,287 with GCF Formula

Least Common Multiple of 714,287 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 714,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,287) = 7

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

GCF(714,287) x common factors =7 x 1 = 7

LCM(714,287) = ( 714 × 287 ) / 7

LCM(714,287) = 204918 / 7

LCM(714,287) = 29274


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 945/714, 1098/287

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 945/714, 1098/287?

Answer: GCF of Numerators as per given numbers 945/714, 1098/287 is

GCF of Numerators i.e. for 945,1098 is 9

LCM of denominators i.e. for 714,287 is 29274.

Thus, GCF of Fractions is 9/29274.Finally, GCF of Fractions for 945/714, 1098/287 is 9/29274.