Greatest Common Factor of 9300/276, 7758/9305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9300/276, 7758/9305

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 9300/276,7758/9305

Given fractions are 9300/276,7758/9305

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 9300,7758

Greatest Common Factor of Numerators i.e. GCF of 9300,7758 is 6 .

LCM of Denominators means LCM of 276,9305 as per the given fractions.

LCM of 276,9305 is 2568180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9300,7758

GCF of Fractions 9300/276,7758/9305 is 6/2568180

2 9300, 7758
3 4650, 3879
1550, 1293

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9300,7758 By Matching Biggest Common Factor Method

Greatest Common Factor of 9300,7758 By Matching Biggest Common Factor Method

Factors of 9300

List of positive integer factors of 9300 that divides 9300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,31,50,60,62,75,93,100,124,150,155,186,300,310,372,465,620,775,930,1550,1860,2325,3100,4650,9300

Factors of 7758

List of positive integer factors of 7758 that divides 7758 without a remainder.

1,2,3,6,9,18,431,862,1293,2586,3879,7758

Greatest Common Factor

We found the factors 9300,7758 . The biggest common factor number is the GCF number.
So the greatest common factor 9300,7758 is 6.

Lets's calculate LCM of 276,9305

Given numbers has no common factors except 1. So, there LCM is their product i.e 2568180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2568180

Therefore, the GCF of Fractions 9300/276,7758/9305 is 6/2568180

Least Common Multiple of 276,9305 with GCF Formula

Least Common Multiple of 276,9305 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 276,9305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,9305) = 1

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

GCF(276,9305) x common factors =1 x 1 = 1

LCM(276,9305) = ( 276 × 9305 ) / 1

LCM(276,9305) = 2568180 / 1

LCM(276,9305) = 2568180


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 9300/276, 7758/9305

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 9300/276, 7758/9305?

Answer: GCF of Numerators as per given numbers 9300/276, 7758/9305 is

GCF of Numerators i.e. for 9300,7758 is 6

LCM of denominators i.e. for 276,9305 is 2568180.

Thus, GCF of Fractions is 6/2568180.Finally, GCF of Fractions for 9300/276, 7758/9305 is 6/2568180.