Greatest Common Factor of 7536/49, 6574/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7536/49, 6574/489

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 7536/49,6574/489

Given fractions are 7536/49,6574/489

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 7536,6574

Greatest Common Factor of Numerators i.e. GCF of 7536,6574 is 2 .

LCM of Denominators means LCM of 49,489 as per the given fractions.

LCM of 49,489 is 23961 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7536,6574

GCF of Fractions 7536/49,6574/489 is 2/23961

2 7536, 6574
3768, 3287

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7536,6574 By Matching Biggest Common Factor Method

Greatest Common Factor of 7536,6574 By Matching Biggest Common Factor Method

Factors of 7536

List of positive integer factors of 7536 that divides 7536 without a remainder.

1,2,3,4,6,8,12,16,24,48,157,314,471,628,942,1256,1884,2512,3768,7536

Factors of 6574

List of positive integer factors of 6574 that divides 6574 without a remainder.

1,2,19,38,173,346,3287,6574

Greatest Common Factor

We found the factors 7536,6574 . The biggest common factor number is the GCF number.
So the greatest common factor 7536,6574 is 2.

Lets's calculate LCM of 49,489

Given numbers has no common factors except 1. So, there LCM is their product i.e 23961

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23961

Therefore, the GCF of Fractions 7536/49,6574/489 is 2/23961

Least Common Multiple of 49,489 with GCF Formula

Least Common Multiple of 49,489 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 49,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,489) = 1

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

GCF(49,489) x common factors =1 x 1 = 1

LCM(49,489) = ( 49 × 489 ) / 1

LCM(49,489) = 23961 / 1

LCM(49,489) = 23961


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 7536/49, 6574/489

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 7536/49, 6574/489?

Answer: GCF of Numerators as per given numbers 7536/49, 6574/489 is

GCF of Numerators i.e. for 7536,6574 is 2

LCM of denominators i.e. for 49,489 is 23961.

Thus, GCF of Fractions is 2/23961.Finally, GCF of Fractions for 7536/49, 6574/489 is 2/23961.