Greatest Common Factor of 4055/105, 1010/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4055/105, 1010/435

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 4055/105,1010/435

Given fractions are 4055/105,1010/435

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 4055,1010

Greatest Common Factor of Numerators i.e. GCF of 4055,1010 is 5 .

LCM of Denominators means LCM of 105,435 as per the given fractions.

LCM of 105,435 is 3045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4055,1010

GCF of Fractions 4055/105,1010/435 is 5/3045

5 4055, 1010
811, 202

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

Greatest Common Factor of 4055,1010 By Matching Biggest Common Factor Method

Greatest Common Factor of 4055,1010 By Matching Biggest Common Factor Method

Factors of 4055

List of positive integer factors of 4055 that divides 4055 without a remainder.

1,5,811,4055

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 4055,1010 . The biggest common factor number is the GCF number.
So the greatest common factor 4055,1010 is 5.

Lets's calculate LCM of 105,435

3 105, 435
5 35, 145
7, 29

∴ So the LCM of the given numbers is 3 x 5 x 7 x 29 = 3045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3045

Therefore, the GCF of Fractions 4055/105,1010/435 is 5/3045

Least Common Multiple of 105,435 with GCF Formula

Least Common Multiple of 105,435 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 105,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,435) = 15

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

GCF(105,435) x common factors =15 x 1 = 15

LCM(105,435) = ( 105 × 435 ) / 15

LCM(105,435) = 45675 / 15

LCM(105,435) = 3045


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 4055/105, 1010/435

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 4055/105, 1010/435?

Answer: GCF of Numerators as per given numbers 4055/105, 1010/435 is

GCF of Numerators i.e. for 4055,1010 is 5

LCM of denominators i.e. for 105,435 is 3045.

Thus, GCF of Fractions is 5/3045.Finally, GCF of Fractions for 4055/105, 1010/435 is 5/3045.