Greatest Common Factor of 285/749, 9850/3777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 285/749, 9850/3777

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 285/749,9850/3777

Given fractions are 285/749,9850/3777

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 285,9850

Greatest Common Factor of Numerators i.e. GCF of 285,9850 is 5 .

LCM of Denominators means LCM of 749,3777 as per the given fractions.

LCM of 749,3777 is 2828973 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 285,9850

GCF of Fractions 285/749,9850/3777 is 5/2828973

5 285, 9850
57, 1970

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 285,9850 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,9850 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 9850

List of positive integer factors of 9850 that divides 9850 without a remainder.

1,2,5,10,25,50,197,394,985,1970,4925,9850

Greatest Common Factor

We found the factors 285,9850 . The biggest common factor number is the GCF number.
So the greatest common factor 285,9850 is 5.

Lets's calculate LCM of 749,3777

Given numbers has no common factors except 1. So, there LCM is their product i.e 2828973

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2828973

Therefore, the GCF of Fractions 285/749,9850/3777 is 5/2828973

Least Common Multiple of 749,3777 with GCF Formula

Least Common Multiple of 749,3777 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 749,3777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,3777) = 1

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

GCF(749,3777) x common factors =1 x 1 = 1

LCM(749,3777) = ( 749 × 3777 ) / 1

LCM(749,3777) = 2828973 / 1

LCM(749,3777) = 2828973


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 285/749, 9850/3777

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 285/749, 9850/3777?

Answer: GCF of Numerators as per given numbers 285/749, 9850/3777 is

GCF of Numerators i.e. for 285,9850 is 5

LCM of denominators i.e. for 749,3777 is 2828973.

Thus, GCF of Fractions is 5/2828973.Finally, GCF of Fractions for 285/749, 9850/3777 is 5/2828973.