Greatest Common Factor of 35/330, 23/506, 978/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/330, 23/506, 978/368

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 35/330,23/506,978/368

Given fractions are 35/330,23/506,978/368

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 35,23,978

Greatest Common Factor of Numerators i.e. GCF of 35,23,978 is 1 .

LCM of Denominators means LCM of 330,506,368 as per the given fractions.

LCM of 330,506,368 is 60720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,23,978

GCF of Fractions 35/330,23/506,978/368 is 1/60720

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

Greatest Common Factor of 35,23,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,23,978 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 35,23,978 . The biggest common factor number is the GCF number.
So the greatest common factor 35,23,978 is 1.

Lets's calculate LCM of 330,506,368

2 330, 506, 368
11 165, 253, 184
23 15, 23, 184
15, 1, 8

∴ So the LCM of the given numbers is 2 x 11 x 23 x 15 x 1 x 8 = 60720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60720

Therefore, the GCF of Fractions 35/330,23/506,978/368 is 1/60720

Least Common Multiple of 330,506,368 with GCF Formula

Least Common Multiple of 330,506,368 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 330,506,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,506,368) = 2

common factors(in case of two or more numbers have common factors) = 506

GCF(330,506,368) x common factors =2 x 506 = 1012

LCM(330,506,368) = ( 330 × 506 × 368 ) / 1012

LCM(330,506,368) = 61448640 / 1012

LCM(330,506,368) = 60720


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 35/330, 23/506, 978/368

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 35/330, 23/506, 978/368?

Answer: GCF of Numerators as per given numbers 35/330, 23/506, 978/368 is

GCF of Numerators i.e. for 35,23,978 is 1

LCM of denominators i.e. for 330,506,368 is 60720.

Thus, GCF of Fractions is 1/60720.Finally, GCF of Fractions for 35/330, 23/506, 978/368 is 1/60720.