Greatest Common Factor of 3851/59, 6905/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3851/59, 6905/608

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 3851/59,6905/608

Given fractions are 3851/59,6905/608

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 3851,6905

Greatest Common Factor of Numerators i.e. GCF of 3851,6905 is 1 .

LCM of Denominators means LCM of 59,608 as per the given fractions.

LCM of 59,608 is 35872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3851,6905

GCF of Fractions 3851/59,6905/608 is 1/35872

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

Greatest Common Factor of 3851,6905 By Matching Biggest Common Factor Method

Greatest Common Factor of 3851,6905 By Matching Biggest Common Factor Method

Factors of 3851

List of positive integer factors of 3851 that divides 3851 without a remainder.

1,3851

Factors of 6905

List of positive integer factors of 6905 that divides 6905 without a remainder.

1,5,1381,6905

Greatest Common Factor

We found the factors 3851,6905 . The biggest common factor number is the GCF number.
So the greatest common factor 3851,6905 is 1.

Lets's calculate LCM of 59,608

Given numbers has no common factors except 1. So, there LCM is their product i.e 35872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35872

Therefore, the GCF of Fractions 3851/59,6905/608 is 1/35872

Least Common Multiple of 59,608 with GCF Formula

Least Common Multiple of 59,608 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 59,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,608) = 1

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

GCF(59,608) x common factors =1 x 1 = 1

LCM(59,608) = ( 59 × 608 ) / 1

LCM(59,608) = 35872 / 1

LCM(59,608) = 35872


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 3851/59, 6905/608

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 3851/59, 6905/608?

Answer: GCF of Numerators as per given numbers 3851/59, 6905/608 is

GCF of Numerators i.e. for 3851,6905 is 1

LCM of denominators i.e. for 59,608 is 35872.

Thus, GCF of Fractions is 1/35872.Finally, GCF of Fractions for 3851/59, 6905/608 is 1/35872.