Greatest Common Factor of 1300/985, 2424/2416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1300/985, 2424/2416

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 1300/985,2424/2416

Given fractions are 1300/985,2424/2416

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 1300,2424

Greatest Common Factor of Numerators i.e. GCF of 1300,2424 is 4 .

LCM of Denominators means LCM of 985,2416 as per the given fractions.

LCM of 985,2416 is 2379760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1300,2424

GCF of Fractions 1300/985,2424/2416 is 4/2379760

2 1300, 2424
2 650, 1212
325, 606

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1300,2424 By Matching Biggest Common Factor Method

Greatest Common Factor of 1300,2424 By Matching Biggest Common Factor Method

Factors of 1300

List of positive integer factors of 1300 that divides 1300 without a remainder.

1,2,4,5,10,13,20,25,26,50,52,65,100,130,260,325,650,1300

Factors of 2424

List of positive integer factors of 2424 that divides 2424 without a remainder.

1,2,3,4,6,8,12,24,101,202,303,404,606,808,1212,2424

Greatest Common Factor

We found the factors 1300,2424 . The biggest common factor number is the GCF number.
So the greatest common factor 1300,2424 is 4.

Lets's calculate LCM of 985,2416

Given numbers has no common factors except 1. So, there LCM is their product i.e 2379760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2379760

Therefore, the GCF of Fractions 1300/985,2424/2416 is 4/2379760

Least Common Multiple of 985,2416 with GCF Formula

Least Common Multiple of 985,2416 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 985,2416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,2416) = 1

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

GCF(985,2416) x common factors =1 x 1 = 1

LCM(985,2416) = ( 985 × 2416 ) / 1

LCM(985,2416) = 2379760 / 1

LCM(985,2416) = 2379760


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 1300/985, 2424/2416

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 1300/985, 2424/2416?

Answer: GCF of Numerators as per given numbers 1300/985, 2424/2416 is

GCF of Numerators i.e. for 1300,2424 is 4

LCM of denominators i.e. for 985,2416 is 2379760.

Thus, GCF of Fractions is 4/2379760.Finally, GCF of Fractions for 1300/985, 2424/2416 is 4/2379760.