Greatest Common Factor of 918/13, 670/45, 304/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 918/13, 670/45, 304/65

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 918/13,670/45,304/65

Given fractions are 918/13,670/45,304/65

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 918,670,304

Greatest Common Factor of Numerators i.e. GCF of 918,670,304 is 2 .

LCM of Denominators means LCM of 13,45,65 as per the given fractions.

LCM of 13,45,65 is 585 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 918,670,304

GCF of Fractions 918/13,670/45,304/65 is 2/585

2 918, 670, 304
459, 335, 152

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

Greatest Common Factor of 918,670,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,670,304 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 918,670,304 . The biggest common factor number is the GCF number.
So the greatest common factor 918,670,304 is 2.

Lets's calculate LCM of 13,45,65

5 13, 45, 65
13 13, 9, 13
1, 9, 1

∴ So the LCM of the given numbers is 5 x 13 x 1 x 9 x 1 = 585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/585

Therefore, the GCF of Fractions 918/13,670/45,304/65 is 2/585

Least Common Multiple of 13,45,65 with GCF Formula

Least Common Multiple of 13,45,65 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 13,45,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,45,65) = 1

common factors(in case of two or more numbers have common factors) = 65

GCF(13,45,65) x common factors =1 x 65 = 65

LCM(13,45,65) = ( 13 × 45 × 65 ) / 65

LCM(13,45,65) = 38025 / 65

LCM(13,45,65) = 585


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 918/13, 670/45, 304/65

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 918/13, 670/45, 304/65?

Answer: GCF of Numerators as per given numbers 918/13, 670/45, 304/65 is

GCF of Numerators i.e. for 918,670,304 is 2

LCM of denominators i.e. for 13,45,65 is 585.

Thus, GCF of Fractions is 2/585.Finally, GCF of Fractions for 918/13, 670/45, 304/65 is 2/585.