Greatest Common Factor of 1870/50, 6230/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1870/50, 6230/309

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 1870/50,6230/309

Given fractions are 1870/50,6230/309

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 1870,6230

Greatest Common Factor of Numerators i.e. GCF of 1870,6230 is 10 .

LCM of Denominators means LCM of 50,309 as per the given fractions.

LCM of 50,309 is 15450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1870,6230

GCF of Fractions 1870/50,6230/309 is 10/15450

2 1870, 6230
5 935, 3115
187, 623

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 1870,6230 By Matching Biggest Common Factor Method

Greatest Common Factor of 1870,6230 By Matching Biggest Common Factor Method

Factors of 1870

List of positive integer factors of 1870 that divides 1870 without a remainder.

1,2,5,10,11,17,22,34,55,85,110,170,187,374,935,1870

Factors of 6230

List of positive integer factors of 6230 that divides 6230 without a remainder.

1,2,5,7,10,14,35,70,89,178,445,623,890,1246,3115,6230

Greatest Common Factor

We found the factors 1870,6230 . The biggest common factor number is the GCF number.
So the greatest common factor 1870,6230 is 10.

Lets's calculate LCM of 50,309

Given numbers has no common factors except 1. So, there LCM is their product i.e 15450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/15450

Therefore, the GCF of Fractions 1870/50,6230/309 is 10/15450

Least Common Multiple of 50,309 with GCF Formula

Least Common Multiple of 50,309 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 50,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,309) = 1

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

GCF(50,309) x common factors =1 x 1 = 1

LCM(50,309) = ( 50 × 309 ) / 1

LCM(50,309) = 15450 / 1

LCM(50,309) = 15450


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 1870/50, 6230/309

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 1870/50, 6230/309?

Answer: GCF of Numerators as per given numbers 1870/50, 6230/309 is

GCF of Numerators i.e. for 1870,6230 is 10

LCM of denominators i.e. for 50,309 is 15450.

Thus, GCF of Fractions is 10/15450.Finally, GCF of Fractions for 1870/50, 6230/309 is 10/15450.