Greatest Common Factor of 300/65, 263/61, 921/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 300/65, 263/61, 921/202

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 300/65,263/61,921/202

Given fractions are 300/65,263/61,921/202

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 300,263,921

Greatest Common Factor of Numerators i.e. GCF of 300,263,921 is 1 .

LCM of Denominators means LCM of 65,61,202 as per the given fractions.

LCM of 65,61,202 is 800930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 300,263,921

GCF of Fractions 300/65,263/61,921/202 is 1/800930

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

Greatest Common Factor of 300,263,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,263,921 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 300,263,921 . The biggest common factor number is the GCF number.
So the greatest common factor 300,263,921 is 1.

Lets's calculate LCM of 65,61,202

Given numbers has no common factors except 1. So, there LCM is their product i.e 800930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/800930

Therefore, the GCF of Fractions 300/65,263/61,921/202 is 1/800930

Least Common Multiple of 65,61,202 with GCF Formula

Least Common Multiple of 65,61,202 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 65,61,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,61,202) = 1

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

GCF(65,61,202) x common factors =1 x 1 = 1

LCM(65,61,202) = ( 65 × 61 × 202 ) / 1

LCM(65,61,202) = 800930 / 1

LCM(65,61,202) = 800930


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 300/65, 263/61, 921/202

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 300/65, 263/61, 921/202?

Answer: GCF of Numerators as per given numbers 300/65, 263/61, 921/202 is

GCF of Numerators i.e. for 300,263,921 is 1

LCM of denominators i.e. for 65,61,202 is 800930.

Thus, GCF of Fractions is 1/800930.Finally, GCF of Fractions for 300/65, 263/61, 921/202 is 1/800930.