Greatest Common Factor of 3503/590, 5114/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3503/590, 5114/770

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 3503/590,5114/770

Given fractions are 3503/590,5114/770

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 3503,5114

Greatest Common Factor of Numerators i.e. GCF of 3503,5114 is 1 .

LCM of Denominators means LCM of 590,770 as per the given fractions.

LCM of 590,770 is 45430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3503,5114

GCF of Fractions 3503/590,5114/770 is 1/45430

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

Greatest Common Factor of 3503,5114 By Matching Biggest Common Factor Method

Greatest Common Factor of 3503,5114 By Matching Biggest Common Factor Method

Factors of 3503

List of positive integer factors of 3503 that divides 3503 without a remainder.

1,31,113,3503

Factors of 5114

List of positive integer factors of 5114 that divides 5114 without a remainder.

1,2,2557,5114

Greatest Common Factor

We found the factors 3503,5114 . The biggest common factor number is the GCF number.
So the greatest common factor 3503,5114 is 1.

Lets's calculate LCM of 590,770

2 590, 770
5 295, 385
59, 77

∴ So the LCM of the given numbers is 2 x 5 x 59 x 77 = 45430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45430

Therefore, the GCF of Fractions 3503/590,5114/770 is 1/45430

Least Common Multiple of 590,770 with GCF Formula

Least Common Multiple of 590,770 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 590,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,770) = 10

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

GCF(590,770) x common factors =10 x 1 = 10

LCM(590,770) = ( 590 × 770 ) / 10

LCM(590,770) = 454300 / 10

LCM(590,770) = 45430


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 3503/590, 5114/770

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 3503/590, 5114/770?

Answer: GCF of Numerators as per given numbers 3503/590, 5114/770 is

GCF of Numerators i.e. for 3503,5114 is 1

LCM of denominators i.e. for 590,770 is 45430.

Thus, GCF of Fractions is 1/45430.Finally, GCF of Fractions for 3503/590, 5114/770 is 1/45430.