Greatest Common Factor of 4534/497, 7387/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4534/497, 7387/563

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 4534/497,7387/563

Given fractions are 4534/497,7387/563

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 4534,7387

Greatest Common Factor of Numerators i.e. GCF of 4534,7387 is 1 .

LCM of Denominators means LCM of 497,563 as per the given fractions.

LCM of 497,563 is 279811 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4534,7387

GCF of Fractions 4534/497,7387/563 is 1/279811

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

Greatest Common Factor of 4534,7387 By Matching Biggest Common Factor Method

Greatest Common Factor of 4534,7387 By Matching Biggest Common Factor Method

Factors of 4534

List of positive integer factors of 4534 that divides 4534 without a remainder.

1,2,2267,4534

Factors of 7387

List of positive integer factors of 7387 that divides 7387 without a remainder.

1,83,89,7387

Greatest Common Factor

We found the factors 4534,7387 . The biggest common factor number is the GCF number.
So the greatest common factor 4534,7387 is 1.

Lets's calculate LCM of 497,563

Given numbers has no common factors except 1. So, there LCM is their product i.e 279811

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279811

Therefore, the GCF of Fractions 4534/497,7387/563 is 1/279811

Least Common Multiple of 497,563 with GCF Formula

Least Common Multiple of 497,563 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 497,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,563) = 1

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

GCF(497,563) x common factors =1 x 1 = 1

LCM(497,563) = ( 497 × 563 ) / 1

LCM(497,563) = 279811 / 1

LCM(497,563) = 279811


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 4534/497, 7387/563

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 4534/497, 7387/563?

Answer: GCF of Numerators as per given numbers 4534/497, 7387/563 is

GCF of Numerators i.e. for 4534,7387 is 1

LCM of denominators i.e. for 497,563 is 279811.

Thus, GCF of Fractions is 1/279811.Finally, GCF of Fractions for 4534/497, 7387/563 is 1/279811.