Greatest Common Factor of 7827/354, 7393/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7827/354, 7393/565

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 7827/354,7393/565

Given fractions are 7827/354,7393/565

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 7827,7393

Greatest Common Factor of Numerators i.e. GCF of 7827,7393 is 1 .

LCM of Denominators means LCM of 354,565 as per the given fractions.

LCM of 354,565 is 200010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7827,7393

GCF of Fractions 7827/354,7393/565 is 1/200010

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

Greatest Common Factor of 7827,7393 By Matching Biggest Common Factor Method

Greatest Common Factor of 7827,7393 By Matching Biggest Common Factor Method

Factors of 7827

List of positive integer factors of 7827 that divides 7827 without a remainder.

1,3,2609,7827

Factors of 7393

List of positive integer factors of 7393 that divides 7393 without a remainder.

1,7393

Greatest Common Factor

We found the factors 7827,7393 . The biggest common factor number is the GCF number.
So the greatest common factor 7827,7393 is 1.

Lets's calculate LCM of 354,565

Given numbers has no common factors except 1. So, there LCM is their product i.e 200010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200010

Therefore, the GCF of Fractions 7827/354,7393/565 is 1/200010

Least Common Multiple of 354,565 with GCF Formula

Least Common Multiple of 354,565 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 354,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,565) = 1

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

GCF(354,565) x common factors =1 x 1 = 1

LCM(354,565) = ( 354 × 565 ) / 1

LCM(354,565) = 200010 / 1

LCM(354,565) = 200010


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 7827/354, 7393/565

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 7827/354, 7393/565?

Answer: GCF of Numerators as per given numbers 7827/354, 7393/565 is

GCF of Numerators i.e. for 7827,7393 is 1

LCM of denominators i.e. for 354,565 is 200010.

Thus, GCF of Fractions is 1/200010.Finally, GCF of Fractions for 7827/354, 7393/565 is 1/200010.