Greatest Common Factor of 650/599, 7742/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 650/599, 7742/548

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 650/599,7742/548

Given fractions are 650/599,7742/548

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 650,7742

Greatest Common Factor of Numerators i.e. GCF of 650,7742 is 2 .

LCM of Denominators means LCM of 599,548 as per the given fractions.

LCM of 599,548 is 328252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 650,7742

GCF of Fractions 650/599,7742/548 is 2/328252

2 650, 7742
325, 3871

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

Greatest Common Factor of 650,7742 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,7742 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 7742

List of positive integer factors of 7742 that divides 7742 without a remainder.

1,2,7,14,49,79,98,158,553,1106,3871,7742

Greatest Common Factor

We found the factors 650,7742 . The biggest common factor number is the GCF number.
So the greatest common factor 650,7742 is 2.

Lets's calculate LCM of 599,548

Given numbers has no common factors except 1. So, there LCM is their product i.e 328252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/328252

Therefore, the GCF of Fractions 650/599,7742/548 is 2/328252

Least Common Multiple of 599,548 with GCF Formula

Least Common Multiple of 599,548 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 599,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(599,548) = 1

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

GCF(599,548) x common factors =1 x 1 = 1

LCM(599,548) = ( 599 × 548 ) / 1

LCM(599,548) = 328252 / 1

LCM(599,548) = 328252


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 650/599, 7742/548

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 650/599, 7742/548?

Answer: GCF of Numerators as per given numbers 650/599, 7742/548 is

GCF of Numerators i.e. for 650,7742 is 2

LCM of denominators i.e. for 599,548 is 328252.

Thus, GCF of Fractions is 2/328252.Finally, GCF of Fractions for 650/599, 7742/548 is 2/328252.