Greatest Common Factor of 5395/434, 3905/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5395/434, 3905/785

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 5395/434,3905/785

Given fractions are 5395/434,3905/785

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 5395,3905

Greatest Common Factor of Numerators i.e. GCF of 5395,3905 is 5 .

LCM of Denominators means LCM of 434,785 as per the given fractions.

LCM of 434,785 is 340690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5395,3905

GCF of Fractions 5395/434,3905/785 is 5/340690

5 5395, 3905
1079, 781

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

Greatest Common Factor of 5395,3905 By Matching Biggest Common Factor Method

Greatest Common Factor of 5395,3905 By Matching Biggest Common Factor Method

Factors of 5395

List of positive integer factors of 5395 that divides 5395 without a remainder.

1,5,13,65,83,415,1079,5395

Factors of 3905

List of positive integer factors of 3905 that divides 3905 without a remainder.

1,5,11,55,71,355,781,3905

Greatest Common Factor

We found the factors 5395,3905 . The biggest common factor number is the GCF number.
So the greatest common factor 5395,3905 is 5.

Lets's calculate LCM of 434,785

Given numbers has no common factors except 1. So, there LCM is their product i.e 340690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/340690

Therefore, the GCF of Fractions 5395/434,3905/785 is 5/340690

Least Common Multiple of 434,785 with GCF Formula

Least Common Multiple of 434,785 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 434,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,785) = 1

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

GCF(434,785) x common factors =1 x 1 = 1

LCM(434,785) = ( 434 × 785 ) / 1

LCM(434,785) = 340690 / 1

LCM(434,785) = 340690


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 5395/434, 3905/785

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 5395/434, 3905/785?

Answer: GCF of Numerators as per given numbers 5395/434, 3905/785 is

GCF of Numerators i.e. for 5395,3905 is 5

LCM of denominators i.e. for 434,785 is 340690.

Thus, GCF of Fractions is 5/340690.Finally, GCF of Fractions for 5395/434, 3905/785 is 5/340690.