Greatest Common Factor of 278/649, 9400/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 278/649, 9400/375

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 278/649,9400/375

Given fractions are 278/649,9400/375

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 278,9400

Greatest Common Factor of Numerators i.e. GCF of 278,9400 is 2 .

LCM of Denominators means LCM of 649,375 as per the given fractions.

LCM of 649,375 is 243375 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 278,9400

GCF of Fractions 278/649,9400/375 is 2/243375

2 278, 9400
139, 4700

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 278,9400 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,9400 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 9400

List of positive integer factors of 9400 that divides 9400 without a remainder.

1,2,4,5,8,10,20,25,40,47,50,94,100,188,200,235,376,470,940,1175,1880,2350,4700,9400

Greatest Common Factor

We found the factors 278,9400 . The biggest common factor number is the GCF number.
So the greatest common factor 278,9400 is 2.

Lets's calculate LCM of 649,375

Given numbers has no common factors except 1. So, there LCM is their product i.e 243375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/243375

Therefore, the GCF of Fractions 278/649,9400/375 is 2/243375

Least Common Multiple of 649,375 with GCF Formula

Least Common Multiple of 649,375 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 649,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,375) = 1

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

GCF(649,375) x common factors =1 x 1 = 1

LCM(649,375) = ( 649 × 375 ) / 1

LCM(649,375) = 243375 / 1

LCM(649,375) = 243375


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 278/649, 9400/375

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 278/649, 9400/375?

Answer: GCF of Numerators as per given numbers 278/649, 9400/375 is

GCF of Numerators i.e. for 278,9400 is 2

LCM of denominators i.e. for 649,375 is 243375.

Thus, GCF of Fractions is 2/243375.Finally, GCF of Fractions for 278/649, 9400/375 is 2/243375.