Greatest Common Factor of 2928/967, 2450/1309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2928/967, 2450/1309

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 2928/967,2450/1309

Given fractions are 2928/967,2450/1309

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 2928,2450

Greatest Common Factor of Numerators i.e. GCF of 2928,2450 is 2 .

LCM of Denominators means LCM of 967,1309 as per the given fractions.

LCM of 967,1309 is 1265803 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2928,2450

GCF of Fractions 2928/967,2450/1309 is 2/1265803

2 2928, 2450
1464, 1225

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

Greatest Common Factor of 2928,2450 By Matching Biggest Common Factor Method

Greatest Common Factor of 2928,2450 By Matching Biggest Common Factor Method

Factors of 2928

List of positive integer factors of 2928 that divides 2928 without a remainder.

1,2,3,4,6,8,12,16,24,48,61,122,183,244,366,488,732,976,1464,2928

Factors of 2450

List of positive integer factors of 2450 that divides 2450 without a remainder.

1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450

Greatest Common Factor

We found the factors 2928,2450 . The biggest common factor number is the GCF number.
So the greatest common factor 2928,2450 is 2.

Lets's calculate LCM of 967,1309

Given numbers has no common factors except 1. So, there LCM is their product i.e 1265803

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1265803

Therefore, the GCF of Fractions 2928/967,2450/1309 is 2/1265803

Least Common Multiple of 967,1309 with GCF Formula

Least Common Multiple of 967,1309 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 967,1309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,1309) = 1

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

GCF(967,1309) x common factors =1 x 1 = 1

LCM(967,1309) = ( 967 × 1309 ) / 1

LCM(967,1309) = 1265803 / 1

LCM(967,1309) = 1265803


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 2928/967, 2450/1309

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 2928/967, 2450/1309?

Answer: GCF of Numerators as per given numbers 2928/967, 2450/1309 is

GCF of Numerators i.e. for 2928,2450 is 2

LCM of denominators i.e. for 967,1309 is 1265803.

Thus, GCF of Fractions is 2/1265803.Finally, GCF of Fractions for 2928/967, 2450/1309 is 2/1265803.