Greatest Common Factor of 1069/590, 3123/3850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1069/590, 3123/3850

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 1069/590,3123/3850

Given fractions are 1069/590,3123/3850

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 1069,3123

Greatest Common Factor of Numerators i.e. GCF of 1069,3123 is 1 .

LCM of Denominators means LCM of 590,3850 as per the given fractions.

LCM of 590,3850 is 227150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1069,3123

GCF of Fractions 1069/590,3123/3850 is 1/227150

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

Greatest Common Factor of 1069,3123 By Matching Biggest Common Factor Method

Greatest Common Factor of 1069,3123 By Matching Biggest Common Factor Method

Factors of 1069

List of positive integer factors of 1069 that divides 1069 without a remainder.

1,1069

Factors of 3123

List of positive integer factors of 3123 that divides 3123 without a remainder.

1,3,9,347,1041,3123

Greatest Common Factor

We found the factors 1069,3123 . The biggest common factor number is the GCF number.
So the greatest common factor 1069,3123 is 1.

Lets's calculate LCM of 590,3850

2 590, 3850
5 295, 1925
59, 385

∴ So the LCM of the given numbers is 2 x 5 x 59 x 385 = 227150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227150

Therefore, the GCF of Fractions 1069/590,3123/3850 is 1/227150

Least Common Multiple of 590,3850 with GCF Formula

Least Common Multiple of 590,3850 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 590,3850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,3850) = 10

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

GCF(590,3850) x common factors =10 x 1 = 10

LCM(590,3850) = ( 590 × 3850 ) / 10

LCM(590,3850) = 2271500 / 10

LCM(590,3850) = 227150


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 1069/590, 3123/3850

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 1069/590, 3123/3850?

Answer: GCF of Numerators as per given numbers 1069/590, 3123/3850 is

GCF of Numerators i.e. for 1069,3123 is 1

LCM of denominators i.e. for 590,3850 is 227150.

Thus, GCF of Fractions is 1/227150.Finally, GCF of Fractions for 1069/590, 3123/3850 is 1/227150.