Greatest Common Factor of 8074/305, 8569/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8074/305, 8569/674

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 8074/305,8569/674

Given fractions are 8074/305,8569/674

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 8074,8569

Greatest Common Factor of Numerators i.e. GCF of 8074,8569 is 11 .

LCM of Denominators means LCM of 305,674 as per the given fractions.

LCM of 305,674 is 205570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8074,8569

GCF of Fractions 8074/305,8569/674 is 11/205570

11 8074, 8569
734, 779

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 8074,8569 By Matching Biggest Common Factor Method

Greatest Common Factor of 8074,8569 By Matching Biggest Common Factor Method

Factors of 8074

List of positive integer factors of 8074 that divides 8074 without a remainder.

1,2,11,22,367,734,4037,8074

Factors of 8569

List of positive integer factors of 8569 that divides 8569 without a remainder.

1,11,19,41,209,451,779,8569

Greatest Common Factor

We found the factors 8074,8569 . The biggest common factor number is the GCF number.
So the greatest common factor 8074,8569 is 11.

Lets's calculate LCM of 305,674

Given numbers has no common factors except 1. So, there LCM is their product i.e 205570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/205570

Therefore, the GCF of Fractions 8074/305,8569/674 is 11/205570

Least Common Multiple of 305,674 with GCF Formula

Least Common Multiple of 305,674 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 305,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,674) = 1

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

GCF(305,674) x common factors =1 x 1 = 1

LCM(305,674) = ( 305 × 674 ) / 1

LCM(305,674) = 205570 / 1

LCM(305,674) = 205570


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 8074/305, 8569/674

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 8074/305, 8569/674?

Answer: GCF of Numerators as per given numbers 8074/305, 8569/674 is

GCF of Numerators i.e. for 8074,8569 is 11

LCM of denominators i.e. for 305,674 is 205570.

Thus, GCF of Fractions is 11/205570.Finally, GCF of Fractions for 8074/305, 8569/674 is 11/205570.