Greatest Common Factor of 4785/709, 1235/9010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4785/709, 1235/9010

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 4785/709,1235/9010

Given fractions are 4785/709,1235/9010

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 4785,1235

Greatest Common Factor of Numerators i.e. GCF of 4785,1235 is 5 .

LCM of Denominators means LCM of 709,9010 as per the given fractions.

LCM of 709,9010 is 6388090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4785,1235

GCF of Fractions 4785/709,1235/9010 is 5/6388090

5 4785, 1235
957, 247

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

Greatest Common Factor of 4785,1235 By Matching Biggest Common Factor Method

Greatest Common Factor of 4785,1235 By Matching Biggest Common Factor Method

Factors of 4785

List of positive integer factors of 4785 that divides 4785 without a remainder.

1,3,5,11,15,29,33,55,87,145,165,319,435,957,1595,4785

Factors of 1235

List of positive integer factors of 1235 that divides 1235 without a remainder.

1,5,13,19,65,95,247,1235

Greatest Common Factor

We found the factors 4785,1235 . The biggest common factor number is the GCF number.
So the greatest common factor 4785,1235 is 5.

Lets's calculate LCM of 709,9010

Given numbers has no common factors except 1. So, there LCM is their product i.e 6388090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6388090

Therefore, the GCF of Fractions 4785/709,1235/9010 is 5/6388090

Least Common Multiple of 709,9010 with GCF Formula

Least Common Multiple of 709,9010 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 709,9010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,9010) = 1

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

GCF(709,9010) x common factors =1 x 1 = 1

LCM(709,9010) = ( 709 × 9010 ) / 1

LCM(709,9010) = 6388090 / 1

LCM(709,9010) = 6388090


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 4785/709, 1235/9010

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 4785/709, 1235/9010?

Answer: GCF of Numerators as per given numbers 4785/709, 1235/9010 is

GCF of Numerators i.e. for 4785,1235 is 5

LCM of denominators i.e. for 709,9010 is 6388090.

Thus, GCF of Fractions is 5/6388090.Finally, GCF of Fractions for 4785/709, 1235/9010 is 5/6388090.