Greatest Common Factor of 2855/505, 7225/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2855/505, 7225/693

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 2855/505,7225/693

Given fractions are 2855/505,7225/693

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 2855,7225

Greatest Common Factor of Numerators i.e. GCF of 2855,7225 is 5 .

LCM of Denominators means LCM of 505,693 as per the given fractions.

LCM of 505,693 is 349965 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2855,7225

GCF of Fractions 2855/505,7225/693 is 5/349965

5 2855, 7225
571, 1445

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2855,7225 By Matching Biggest Common Factor Method

Greatest Common Factor of 2855,7225 By Matching Biggest Common Factor Method

Factors of 2855

List of positive integer factors of 2855 that divides 2855 without a remainder.

1,5,571,2855

Factors of 7225

List of positive integer factors of 7225 that divides 7225 without a remainder.

1,5,17,25,85,289,425,1445,7225

Greatest Common Factor

We found the factors 2855,7225 . The biggest common factor number is the GCF number.
So the greatest common factor 2855,7225 is 5.

Lets's calculate LCM of 505,693

Given numbers has no common factors except 1. So, there LCM is their product i.e 349965

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/349965

Therefore, the GCF of Fractions 2855/505,7225/693 is 5/349965

Least Common Multiple of 505,693 with GCF Formula

Least Common Multiple of 505,693 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 505,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,693) = 1

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

GCF(505,693) x common factors =1 x 1 = 1

LCM(505,693) = ( 505 × 693 ) / 1

LCM(505,693) = 349965 / 1

LCM(505,693) = 349965


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 2855/505, 7225/693

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 2855/505, 7225/693?

Answer: GCF of Numerators as per given numbers 2855/505, 7225/693 is

GCF of Numerators i.e. for 2855,7225 is 5

LCM of denominators i.e. for 505,693 is 349965.

Thus, GCF of Fractions is 5/349965.Finally, GCF of Fractions for 2855/505, 7225/693 is 5/349965.