Greatest Common Factor of 1919/140, 1586/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1919/140, 1586/310

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 1919/140,1586/310

Given fractions are 1919/140,1586/310

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 1919,1586

Greatest Common Factor of Numerators i.e. GCF of 1919,1586 is 1 .

LCM of Denominators means LCM of 140,310 as per the given fractions.

LCM of 140,310 is 4340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1919,1586

GCF of Fractions 1919/140,1586/310 is 1/4340

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

Greatest Common Factor of 1919,1586 By Matching Biggest Common Factor Method

Greatest Common Factor of 1919,1586 By Matching Biggest Common Factor Method

Factors of 1919

List of positive integer factors of 1919 that divides 1919 without a remainder.

1,19,101,1919

Factors of 1586

List of positive integer factors of 1586 that divides 1586 without a remainder.

1,2,13,26,61,122,793,1586

Greatest Common Factor

We found the factors 1919,1586 . The biggest common factor number is the GCF number.
So the greatest common factor 1919,1586 is 1.

Lets's calculate LCM of 140,310

2 140, 310
5 70, 155
14, 31

∴ So the LCM of the given numbers is 2 x 5 x 14 x 31 = 4340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4340

Therefore, the GCF of Fractions 1919/140,1586/310 is 1/4340

Least Common Multiple of 140,310 with GCF Formula

Least Common Multiple of 140,310 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 140,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,310) = 10

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

GCF(140,310) x common factors =10 x 1 = 10

LCM(140,310) = ( 140 × 310 ) / 10

LCM(140,310) = 43400 / 10

LCM(140,310) = 4340


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 1919/140, 1586/310

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 1919/140, 1586/310?

Answer: GCF of Numerators as per given numbers 1919/140, 1586/310 is

GCF of Numerators i.e. for 1919,1586 is 1

LCM of denominators i.e. for 140,310 is 4340.

Thus, GCF of Fractions is 1/4340.Finally, GCF of Fractions for 1919/140, 1586/310 is 1/4340.