Greatest Common Factor of 741/61, 208/3358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 741/61, 208/3358

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 741/61,208/3358

Given fractions are 741/61,208/3358

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 741,208

Greatest Common Factor of Numerators i.e. GCF of 741,208 is 13 .

LCM of Denominators means LCM of 61,3358 as per the given fractions.

LCM of 61,3358 is 204838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 741,208

GCF of Fractions 741/61,208/3358 is 13/204838

13 741, 208
57, 16

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 741,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,208 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 741,208 . The biggest common factor number is the GCF number.
So the greatest common factor 741,208 is 13.

Lets's calculate LCM of 61,3358

Given numbers has no common factors except 1. So, there LCM is their product i.e 204838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/204838

Therefore, the GCF of Fractions 741/61,208/3358 is 13/204838

Least Common Multiple of 61,3358 with GCF Formula

Least Common Multiple of 61,3358 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 61,3358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,3358) = 1

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

GCF(61,3358) x common factors =1 x 1 = 1

LCM(61,3358) = ( 61 × 3358 ) / 1

LCM(61,3358) = 204838 / 1

LCM(61,3358) = 204838


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 741/61, 208/3358

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 741/61, 208/3358?

Answer: GCF of Numerators as per given numbers 741/61, 208/3358 is

GCF of Numerators i.e. for 741,208 is 13

LCM of denominators i.e. for 61,3358 is 204838.

Thus, GCF of Fractions is 13/204838.Finally, GCF of Fractions for 741/61, 208/3358 is 13/204838.