Greatest Common Factor of 741/785, 1010/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 741/785, 1010/482

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 741/785,1010/482

Given fractions are 741/785,1010/482

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 741,1010

Greatest Common Factor of Numerators i.e. GCF of 741,1010 is 1 .

LCM of Denominators means LCM of 785,482 as per the given fractions.

LCM of 785,482 is 378370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 741,1010

GCF of Fractions 741/785,1010/482 is 1/378370

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 741,1010 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,1010 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 1010

List of positive integer factors of 1010 that divides 1010 without a remainder.

1,2,5,10,101,202,505,1010

Greatest Common Factor

We found the factors 741,1010 . The biggest common factor number is the GCF number.
So the greatest common factor 741,1010 is 1.


Lets's calculate LCM of 785,482

Given numbers has no common factors except 1. So, there LCM is their product i.e 378370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/378370

Therefore, the GCF of Fractions 741/785,1010/482 is 1/378370

Least Common Multiple of 785,482 with GCF Formula

Least Common Multiple of 785,482 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 785,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,482) = 1

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

GCF(785,482) x common factors =1 x 1 = 1

LCM(785,482) = ( 785 × 482 ) / 1

LCM(785,482) = 378370 / 1

LCM(785,482) = 378370


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 741/785, 1010/482

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 741/785, 1010/482?

Answer: GCF of Numerators as per given numbers 741/785, 1010/482 is

GCF of Numerators i.e. for 741,1010 is 1

LCM of denominators i.e. for 785,482 is 378370.

Thus, GCF of Fractions is 1/378370.Finally, GCF of Fractions for 741/785, 1010/482 is 1/378370.