Greatest Common Factor of 280/65, 510/7506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 280/65, 510/7506

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 280/65,510/7506

Given fractions are 280/65,510/7506

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 280,510

Greatest Common Factor of Numerators i.e. GCF of 280,510 is 10 .

LCM of Denominators means LCM of 65,7506 as per the given fractions.

LCM of 65,7506 is 487890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 280,510

GCF of Fractions 280/65,510/7506 is 10/487890

2 280, 510
5 140, 255
28, 51

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 280,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,510 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 280,510 . The biggest common factor number is the GCF number.
So the greatest common factor 280,510 is 10.

Lets's calculate LCM of 65,7506

Given numbers has no common factors except 1. So, there LCM is their product i.e 487890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/487890

Therefore, the GCF of Fractions 280/65,510/7506 is 10/487890

Least Common Multiple of 65,7506 with GCF Formula

Least Common Multiple of 65,7506 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 65,7506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,7506) = 1

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

GCF(65,7506) x common factors =1 x 1 = 1

LCM(65,7506) = ( 65 × 7506 ) / 1

LCM(65,7506) = 487890 / 1

LCM(65,7506) = 487890


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 280/65, 510/7506

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 280/65, 510/7506?

Answer: GCF of Numerators as per given numbers 280/65, 510/7506 is

GCF of Numerators i.e. for 280,510 is 10

LCM of denominators i.e. for 65,7506 is 487890.

Thus, GCF of Fractions is 10/487890.Finally, GCF of Fractions for 280/65, 510/7506 is 10/487890.