Greatest Common Factor of 65/294, 302/923, 844/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/294, 302/923, 844/175

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 65/294,302/923,844/175

Given fractions are 65/294,302/923,844/175

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 65,302,844

Greatest Common Factor of Numerators i.e. GCF of 65,302,844 is 1 .

LCM of Denominators means LCM of 294,923,175 as per the given fractions.

LCM of 294,923,175 is 6784050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,302,844

GCF of Fractions 65/294,302/923,844/175 is 1/6784050

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

Greatest Common Factor of 65,302,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,302,844 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 65,302,844 . The biggest common factor number is the GCF number.
So the greatest common factor 65,302,844 is 1.

Lets's calculate LCM of 294,923,175

7 294, 923, 175
42, 923, 25

∴ So the LCM of the given numbers is 7 x 42 x 923 x 25 = 6784050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6784050

Therefore, the GCF of Fractions 65/294,302/923,844/175 is 1/6784050

Least Common Multiple of 294,923,175 with GCF Formula

Least Common Multiple of 294,923,175 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 294,923,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,923,175) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(294,923,175) x common factors =1 x 7 = 7

LCM(294,923,175) = ( 294 × 923 × 175 ) / 7

LCM(294,923,175) = 47488350 / 7

LCM(294,923,175) = 6784050


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 65/294, 302/923, 844/175

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 65/294, 302/923, 844/175?

Answer: GCF of Numerators as per given numbers 65/294, 302/923, 844/175 is

GCF of Numerators i.e. for 65,302,844 is 1

LCM of denominators i.e. for 294,923,175 is 6784050.

Thus, GCF of Fractions is 1/6784050.Finally, GCF of Fractions for 65/294, 302/923, 844/175 is 1/6784050.