Greatest Common Factor of 325/277, 7800/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 325/277, 7800/949

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 325/277,7800/949

Given fractions are 325/277,7800/949

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 325,7800

Greatest Common Factor of Numerators i.e. GCF of 325,7800 is 325 .

LCM of Denominators means LCM of 277,949 as per the given fractions.

LCM of 277,949 is 262873 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 325,7800

GCF of Fractions 325/277,7800/949 is 325/262873

5 325, 7800
5 65, 1560
13 13, 312
1, 24

∴ So the GCF of the given numbers is 5 x 5 x 13 = 325

Greatest Common Factor of 325,7800 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,7800 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 7800

List of positive integer factors of 7800 that divides 7800 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,20,24,25,26,30,39,40,50,52,60,65,75,78,100,104,120,130,150,156,195,200,260,300,312,325,390,520,600,650,780,975,1300,1560,1950,2600,3900,7800

Greatest Common Factor

We found the factors 325,7800 . The biggest common factor number is the GCF number.
So the greatest common factor 325,7800 is 325.

Lets's calculate LCM of 277,949

Given numbers has no common factors except 1. So, there LCM is their product i.e 262873

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 325/262873

Therefore, the GCF of Fractions 325/277,7800/949 is 325/262873

Least Common Multiple of 277,949 with GCF Formula

Least Common Multiple of 277,949 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 277,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,949) = 1

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

GCF(277,949) x common factors =1 x 1 = 1

LCM(277,949) = ( 277 × 949 ) / 1

LCM(277,949) = 262873 / 1

LCM(277,949) = 262873


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 325/277, 7800/949

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 325/277, 7800/949?

Answer: GCF of Numerators as per given numbers 325/277, 7800/949 is

GCF of Numerators i.e. for 325,7800 is 325

LCM of denominators i.e. for 277,949 is 262873.

Thus, GCF of Fractions is 325/262873.Finally, GCF of Fractions for 325/277, 7800/949 is 325/262873.