Greatest Common Factor of 300/492, 100/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 300/492, 100/947

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 300/492,100/947

Given fractions are 300/492,100/947

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 300,100

Greatest Common Factor of Numerators i.e. GCF of 300,100 is 100 .

LCM of Denominators means LCM of 492,947 as per the given fractions.

LCM of 492,947 is 465924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 300,100

GCF of Fractions 300/492,100/947 is 100/465924

2 300, 100
2 150, 50
5 75, 25
5 15, 5
3, 1

∴ So the GCF of the given numbers is 2 x 2 x 5 x 5 = 100

Greatest Common Factor of 300,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,100 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 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 300,100 . The biggest common factor number is the GCF number.
So the greatest common factor 300,100 is 100.

Lets's calculate LCM of 492,947

Given numbers has no common factors except 1. So, there LCM is their product i.e 465924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 100/465924

Therefore, the GCF of Fractions 300/492,100/947 is 100/465924

Least Common Multiple of 492,947 with GCF Formula

Least Common Multiple of 492,947 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 492,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,947) = 1

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

GCF(492,947) x common factors =1 x 1 = 1

LCM(492,947) = ( 492 × 947 ) / 1

LCM(492,947) = 465924 / 1

LCM(492,947) = 465924


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 300/492, 100/947

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 300/492, 100/947?

Answer: GCF of Numerators as per given numbers 300/492, 100/947 is

GCF of Numerators i.e. for 300,100 is 100

LCM of denominators i.e. for 492,947 is 465924.

Thus, GCF of Fractions is 100/465924.Finally, GCF of Fractions for 300/492, 100/947 is 100/465924.