Greatest Common Factor of 75/277, 30/967, 315/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/277, 30/967, 315/737

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 75/277,30/967,315/737

Given fractions are 75/277,30/967,315/737

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 75,30,315

Greatest Common Factor of Numerators i.e. GCF of 75,30,315 is 15 .

LCM of Denominators means LCM of 277,967,737 as per the given fractions.

LCM of 277,967,737 is 197412083 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,30,315

GCF of Fractions 75/277,30/967,315/737 is 15/197412083

3 75, 30, 315
5 25, 10, 105
5, 2, 21

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 75,30,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,30,315 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 75,30,315 . The biggest common factor number is the GCF number.
So the greatest common factor 75,30,315 is 15.

Lets's calculate LCM of 277,967,737

Given numbers has no common factors except 1. So, there LCM is their product i.e 197412083

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/197412083

Therefore, the GCF of Fractions 75/277,30/967,315/737 is 15/197412083

Least Common Multiple of 277,967,737 with GCF Formula

Least Common Multiple of 277,967,737 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 277,967,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,967,737) = 1

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

GCF(277,967,737) x common factors =1 x 1 = 1

LCM(277,967,737) = ( 277 × 967 × 737 ) / 1

LCM(277,967,737) = 197412083 / 1

LCM(277,967,737) = 197412083


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 75/277, 30/967, 315/737

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 75/277, 30/967, 315/737?

Answer: GCF of Numerators as per given numbers 75/277, 30/967, 315/737 is

GCF of Numerators i.e. for 75,30,315 is 15

LCM of denominators i.e. for 277,967,737 is 197412083.

Thus, GCF of Fractions is 15/197412083.Finally, GCF of Fractions for 75/277, 30/967, 315/737 is 15/197412083.