Greatest Common Factor of 624/19, 577/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 624/19, 577/305

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 624/19,577/305

Given fractions are 624/19,577/305

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 624,577

Greatest Common Factor of Numerators i.e. GCF of 624,577 is 1 .

LCM of Denominators means LCM of 19,305 as per the given fractions.

LCM of 19,305 is 5795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 624,577

GCF of Fractions 624/19,577/305 is 1/5795

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

Greatest Common Factor of 624,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,577 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 624,577 . The biggest common factor number is the GCF number.
So the greatest common factor 624,577 is 1.

Lets's calculate LCM of 19,305

Given numbers has no common factors except 1. So, there LCM is their product i.e 5795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5795

Therefore, the GCF of Fractions 624/19,577/305 is 1/5795

Least Common Multiple of 19,305 with GCF Formula

Least Common Multiple of 19,305 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 19,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,305) = 1

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

GCF(19,305) x common factors =1 x 1 = 1

LCM(19,305) = ( 19 × 305 ) / 1

LCM(19,305) = 5795 / 1

LCM(19,305) = 5795


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 624/19, 577/305

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 624/19, 577/305?

Answer: GCF of Numerators as per given numbers 624/19, 577/305 is

GCF of Numerators i.e. for 624,577 is 1

LCM of denominators i.e. for 19,305 is 5795.

Thus, GCF of Fractions is 1/5795.Finally, GCF of Fractions for 624/19, 577/305 is 1/5795.