Greatest Common Factor of 85/19, 12/49, 319/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/19, 12/49, 319/965

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 85/19,12/49,319/965

Given fractions are 85/19,12/49,319/965

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 85,12,319

Greatest Common Factor of Numerators i.e. GCF of 85,12,319 is 1 .

LCM of Denominators means LCM of 19,49,965 as per the given fractions.

LCM of 19,49,965 is 898415 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,12,319

GCF of Fractions 85/19,12/49,319/965 is 1/898415

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

Greatest Common Factor of 85,12,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,12,319 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 85,12,319 . The biggest common factor number is the GCF number.
So the greatest common factor 85,12,319 is 1.

Lets's calculate LCM of 19,49,965

Given numbers has no common factors except 1. So, there LCM is their product i.e 898415

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/898415

Therefore, the GCF of Fractions 85/19,12/49,319/965 is 1/898415

Least Common Multiple of 19,49,965 with GCF Formula

Least Common Multiple of 19,49,965 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 19,49,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,49,965) = 1

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

GCF(19,49,965) x common factors =1 x 1 = 1

LCM(19,49,965) = ( 19 × 49 × 965 ) / 1

LCM(19,49,965) = 898415 / 1

LCM(19,49,965) = 898415


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 85/19, 12/49, 319/965

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 85/19, 12/49, 319/965?

Answer: GCF of Numerators as per given numbers 85/19, 12/49, 319/965 is

GCF of Numerators i.e. for 85,12,319 is 1

LCM of denominators i.e. for 19,49,965 is 898415.

Thus, GCF of Fractions is 1/898415.Finally, GCF of Fractions for 85/19, 12/49, 319/965 is 1/898415.