Greatest Common Factor of 3438/281, 7323/7750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3438/281, 7323/7750

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 3438/281,7323/7750

Given fractions are 3438/281,7323/7750

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 3438,7323

Greatest Common Factor of Numerators i.e. GCF of 3438,7323 is 3 .

LCM of Denominators means LCM of 281,7750 as per the given fractions.

LCM of 281,7750 is 2177750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3438,7323

GCF of Fractions 3438/281,7323/7750 is 3/2177750

3 3438, 7323
1146, 2441

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3438,7323 By Matching Biggest Common Factor Method

Greatest Common Factor of 3438,7323 By Matching Biggest Common Factor Method

Factors of 3438

List of positive integer factors of 3438 that divides 3438 without a remainder.

1,2,3,6,9,18,191,382,573,1146,1719,3438

Factors of 7323

List of positive integer factors of 7323 that divides 7323 without a remainder.

1,3,2441,7323

Greatest Common Factor

We found the factors 3438,7323 . The biggest common factor number is the GCF number.
So the greatest common factor 3438,7323 is 3.

Lets's calculate LCM of 281,7750

Given numbers has no common factors except 1. So, there LCM is their product i.e 2177750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2177750

Therefore, the GCF of Fractions 3438/281,7323/7750 is 3/2177750

Least Common Multiple of 281,7750 with GCF Formula

Least Common Multiple of 281,7750 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 281,7750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,7750) = 1

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

GCF(281,7750) x common factors =1 x 1 = 1

LCM(281,7750) = ( 281 × 7750 ) / 1

LCM(281,7750) = 2177750 / 1

LCM(281,7750) = 2177750


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 3438/281, 7323/7750

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 3438/281, 7323/7750?

Answer: GCF of Numerators as per given numbers 3438/281, 7323/7750 is

GCF of Numerators i.e. for 3438,7323 is 3

LCM of denominators i.e. for 281,7750 is 2177750.

Thus, GCF of Fractions is 3/2177750.Finally, GCF of Fractions for 3438/281, 7323/7750 is 3/2177750.