Greatest Common Factor of 3202/738, 8416/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3202/738, 8416/749

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 3202/738,8416/749

Given fractions are 3202/738,8416/749

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 3202,8416

Greatest Common Factor of Numerators i.e. GCF of 3202,8416 is 2 .

LCM of Denominators means LCM of 738,749 as per the given fractions.

LCM of 738,749 is 552762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3202,8416

GCF of Fractions 3202/738,8416/749 is 2/552762

2 3202, 8416
1601, 4208

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

Greatest Common Factor of 3202,8416 By Matching Biggest Common Factor Method

Greatest Common Factor of 3202,8416 By Matching Biggest Common Factor Method

Factors of 3202

List of positive integer factors of 3202 that divides 3202 without a remainder.

1,2,1601,3202

Factors of 8416

List of positive integer factors of 8416 that divides 8416 without a remainder.

1,2,4,8,16,32,263,526,1052,2104,4208,8416

Greatest Common Factor

We found the factors 3202,8416 . The biggest common factor number is the GCF number.
So the greatest common factor 3202,8416 is 2.

Lets's calculate LCM of 738,749

Given numbers has no common factors except 1. So, there LCM is their product i.e 552762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/552762

Therefore, the GCF of Fractions 3202/738,8416/749 is 2/552762

Least Common Multiple of 738,749 with GCF Formula

Least Common Multiple of 738,749 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 738,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,749) = 1

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

GCF(738,749) x common factors =1 x 1 = 1

LCM(738,749) = ( 738 × 749 ) / 1

LCM(738,749) = 552762 / 1

LCM(738,749) = 552762


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 3202/738, 8416/749

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 3202/738, 8416/749?

Answer: GCF of Numerators as per given numbers 3202/738, 8416/749 is

GCF of Numerators i.e. for 3202,8416 is 2

LCM of denominators i.e. for 738,749 is 552762.

Thus, GCF of Fractions is 2/552762.Finally, GCF of Fractions for 3202/738, 8416/749 is 2/552762.