Greatest Common Factor of 4507/987, 1575/4730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4507/987, 1575/4730

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 4507/987,1575/4730

Given fractions are 4507/987,1575/4730

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 4507,1575

Greatest Common Factor of Numerators i.e. GCF of 4507,1575 is 1 .

LCM of Denominators means LCM of 987,4730 as per the given fractions.

LCM of 987,4730 is 4668510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4507,1575

GCF of Fractions 4507/987,1575/4730 is 1/4668510

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

Greatest Common Factor of 4507,1575 By Matching Biggest Common Factor Method

Greatest Common Factor of 4507,1575 By Matching Biggest Common Factor Method

Factors of 4507

List of positive integer factors of 4507 that divides 4507 without a remainder.

1,4507

Factors of 1575

List of positive integer factors of 1575 that divides 1575 without a remainder.

1,3,5,7,9,15,21,25,35,45,63,75,105,175,225,315,525,1575

Greatest Common Factor

We found the factors 4507,1575 . The biggest common factor number is the GCF number.
So the greatest common factor 4507,1575 is 1.

Lets's calculate LCM of 987,4730

Given numbers has no common factors except 1. So, there LCM is their product i.e 4668510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4668510

Therefore, the GCF of Fractions 4507/987,1575/4730 is 1/4668510

Least Common Multiple of 987,4730 with GCF Formula

Least Common Multiple of 987,4730 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 987,4730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,4730) = 1

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

GCF(987,4730) x common factors =1 x 1 = 1

LCM(987,4730) = ( 987 × 4730 ) / 1

LCM(987,4730) = 4668510 / 1

LCM(987,4730) = 4668510


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 4507/987, 1575/4730

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 4507/987, 1575/4730?

Answer: GCF of Numerators as per given numbers 4507/987, 1575/4730 is

GCF of Numerators i.e. for 4507,1575 is 1

LCM of denominators i.e. for 987,4730 is 4668510.

Thus, GCF of Fractions is 1/4668510.Finally, GCF of Fractions for 4507/987, 1575/4730 is 1/4668510.