Greatest Common Factor of 3238/362, 8728/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3238/362, 8728/735

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 3238/362,8728/735

Given fractions are 3238/362,8728/735

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 3238,8728

Greatest Common Factor of Numerators i.e. GCF of 3238,8728 is 2 .

LCM of Denominators means LCM of 362,735 as per the given fractions.

LCM of 362,735 is 266070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3238,8728

GCF of Fractions 3238/362,8728/735 is 2/266070

2 3238, 8728
1619, 4364

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

Greatest Common Factor of 3238,8728 By Matching Biggest Common Factor Method

Greatest Common Factor of 3238,8728 By Matching Biggest Common Factor Method

Factors of 3238

List of positive integer factors of 3238 that divides 3238 without a remainder.

1,2,1619,3238

Factors of 8728

List of positive integer factors of 8728 that divides 8728 without a remainder.

1,2,4,8,1091,2182,4364,8728

Greatest Common Factor

We found the factors 3238,8728 . The biggest common factor number is the GCF number.
So the greatest common factor 3238,8728 is 2.

Lets's calculate LCM of 362,735

Given numbers has no common factors except 1. So, there LCM is their product i.e 266070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/266070

Therefore, the GCF of Fractions 3238/362,8728/735 is 2/266070

Least Common Multiple of 362,735 with GCF Formula

Least Common Multiple of 362,735 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 362,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,735) = 1

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

GCF(362,735) x common factors =1 x 1 = 1

LCM(362,735) = ( 362 × 735 ) / 1

LCM(362,735) = 266070 / 1

LCM(362,735) = 266070


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 3238/362, 8728/735

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 3238/362, 8728/735?

Answer: GCF of Numerators as per given numbers 3238/362, 8728/735 is

GCF of Numerators i.e. for 3238,8728 is 2

LCM of denominators i.e. for 362,735 is 266070.

Thus, GCF of Fractions is 2/266070.Finally, GCF of Fractions for 3238/362, 8728/735 is 2/266070.