Greatest Common Factor of 7742/753, 4232/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7742/753, 4232/559

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 7742/753,4232/559

Given fractions are 7742/753,4232/559

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 7742,4232

Greatest Common Factor of Numerators i.e. GCF of 7742,4232 is 2 .

LCM of Denominators means LCM of 753,559 as per the given fractions.

LCM of 753,559 is 420927 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7742,4232

GCF of Fractions 7742/753,4232/559 is 2/420927

2 7742, 4232
3871, 2116

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

Greatest Common Factor of 7742,4232 By Matching Biggest Common Factor Method

Greatest Common Factor of 7742,4232 By Matching Biggest Common Factor Method

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

Factors of 4232

List of positive integer factors of 4232 that divides 4232 without a remainder.

1,2,4,8,23,46,92,184,529,1058,2116,4232

Greatest Common Factor

We found the factors 7742,4232 . The biggest common factor number is the GCF number.
So the greatest common factor 7742,4232 is 2.

Lets's calculate LCM of 753,559

Given numbers has no common factors except 1. So, there LCM is their product i.e 420927

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/420927

Therefore, the GCF of Fractions 7742/753,4232/559 is 2/420927

Least Common Multiple of 753,559 with GCF Formula

Least Common Multiple of 753,559 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 753,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,559) = 1

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

GCF(753,559) x common factors =1 x 1 = 1

LCM(753,559) = ( 753 × 559 ) / 1

LCM(753,559) = 420927 / 1

LCM(753,559) = 420927


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 7742/753, 4232/559

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 7742/753, 4232/559?

Answer: GCF of Numerators as per given numbers 7742/753, 4232/559 is

GCF of Numerators i.e. for 7742,4232 is 2

LCM of denominators i.e. for 753,559 is 420927.

Thus, GCF of Fractions is 2/420927.Finally, GCF of Fractions for 7742/753, 4232/559 is 2/420927.