Greatest Common Factor of 745/209, 1014/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 745/209, 1014/505

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 745/209,1014/505

Given fractions are 745/209,1014/505

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 745,1014

Greatest Common Factor of Numerators i.e. GCF of 745,1014 is 1 .

LCM of Denominators means LCM of 209,505 as per the given fractions.

LCM of 209,505 is 105545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 745,1014

GCF of Fractions 745/209,1014/505 is 1/105545

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

Greatest Common Factor of 745,1014 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,1014 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 1014

List of positive integer factors of 1014 that divides 1014 without a remainder.

1,2,3,6,13,26,39,78,169,338,507,1014

Greatest Common Factor

We found the factors 745,1014 . The biggest common factor number is the GCF number.
So the greatest common factor 745,1014 is 1.

Lets's calculate LCM of 209,505

Given numbers has no common factors except 1. So, there LCM is their product i.e 105545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105545

Therefore, the GCF of Fractions 745/209,1014/505 is 1/105545

Least Common Multiple of 209,505 with GCF Formula

Least Common Multiple of 209,505 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 209,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,505) = 1

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

GCF(209,505) x common factors =1 x 1 = 1

LCM(209,505) = ( 209 × 505 ) / 1

LCM(209,505) = 105545 / 1

LCM(209,505) = 105545


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 745/209, 1014/505

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 745/209, 1014/505?

Answer: GCF of Numerators as per given numbers 745/209, 1014/505 is

GCF of Numerators i.e. for 745,1014 is 1

LCM of denominators i.e. for 209,505 is 105545.

Thus, GCF of Fractions is 1/105545.Finally, GCF of Fractions for 745/209, 1014/505 is 1/105545.