Greatest Common Factor of 4078/738, 4532/3950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4078/738, 4532/3950

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 4078/738,4532/3950

Given fractions are 4078/738,4532/3950

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 4078,4532

Greatest Common Factor of Numerators i.e. GCF of 4078,4532 is 2 .

LCM of Denominators means LCM of 738,3950 as per the given fractions.

LCM of 738,3950 is 1457550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4078,4532

GCF of Fractions 4078/738,4532/3950 is 2/1457550

2 4078, 4532
2039, 2266

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

Greatest Common Factor of 4078,4532 By Matching Biggest Common Factor Method

Greatest Common Factor of 4078,4532 By Matching Biggest Common Factor Method

Factors of 4078

List of positive integer factors of 4078 that divides 4078 without a remainder.

1,2,2039,4078

Factors of 4532

List of positive integer factors of 4532 that divides 4532 without a remainder.

1,2,4,11,22,44,103,206,412,1133,2266,4532

Greatest Common Factor

We found the factors 4078,4532 . The biggest common factor number is the GCF number.
So the greatest common factor 4078,4532 is 2.

Lets's calculate LCM of 738,3950

2 738, 3950
369, 1975

∴ So the LCM of the given numbers is 2 x 369 x 1975 = 1457550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1457550

Therefore, the GCF of Fractions 4078/738,4532/3950 is 2/1457550

Least Common Multiple of 738,3950 with GCF Formula

Least Common Multiple of 738,3950 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 738,3950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,3950) = 2

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

GCF(738,3950) x common factors =2 x 1 = 2

LCM(738,3950) = ( 738 × 3950 ) / 2

LCM(738,3950) = 2915100 / 2

LCM(738,3950) = 1457550


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 4078/738, 4532/3950

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 4078/738, 4532/3950?

Answer: GCF of Numerators as per given numbers 4078/738, 4532/3950 is

GCF of Numerators i.e. for 4078,4532 is 2

LCM of denominators i.e. for 738,3950 is 1457550.

Thus, GCF of Fractions is 2/1457550.Finally, GCF of Fractions for 4078/738, 4532/3950 is 2/1457550.