Greatest Common Factor of 300/70, 984/89, 277/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 300/70, 984/89, 277/635

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 300/70,984/89,277/635

Given fractions are 300/70,984/89,277/635

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 300,984,277

Greatest Common Factor of Numerators i.e. GCF of 300,984,277 is 1 .

LCM of Denominators means LCM of 70,89,635 as per the given fractions.

LCM of 70,89,635 is 791210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 300,984,277

GCF of Fractions 300/70,984/89,277/635 is 1/791210

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

Greatest Common Factor of 300,984,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,984,277 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 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 300,984,277 . The biggest common factor number is the GCF number.
So the greatest common factor 300,984,277 is 1.

Lets's calculate LCM of 70,89,635

5 70, 89, 635
14, 89, 127

∴ So the LCM of the given numbers is 5 x 14 x 89 x 127 = 791210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/791210

Therefore, the GCF of Fractions 300/70,984/89,277/635 is 1/791210

Least Common Multiple of 70,89,635 with GCF Formula

Least Common Multiple of 70,89,635 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 70,89,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,89,635) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(70,89,635) x common factors =1 x 5 = 5

LCM(70,89,635) = ( 70 × 89 × 635 ) / 5

LCM(70,89,635) = 3956050 / 5

LCM(70,89,635) = 791210


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 300/70, 984/89, 277/635

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 300/70, 984/89, 277/635?

Answer: GCF of Numerators as per given numbers 300/70, 984/89, 277/635 is

GCF of Numerators i.e. for 300,984,277 is 1

LCM of denominators i.e. for 70,89,635 is 791210.

Thus, GCF of Fractions is 1/791210.Finally, GCF of Fractions for 300/70, 984/89, 277/635 is 1/791210.