Greatest Common Factor of 7648/30, 2534/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7648/30, 2534/283

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 7648/30,2534/283

Given fractions are 7648/30,2534/283

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 7648,2534

Greatest Common Factor of Numerators i.e. GCF of 7648,2534 is 2 .

LCM of Denominators means LCM of 30,283 as per the given fractions.

LCM of 30,283 is 8490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7648,2534

GCF of Fractions 7648/30,2534/283 is 2/8490

2 7648, 2534
3824, 1267

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

Greatest Common Factor of 7648,2534 By Matching Biggest Common Factor Method

Greatest Common Factor of 7648,2534 By Matching Biggest Common Factor Method

Factors of 7648

List of positive integer factors of 7648 that divides 7648 without a remainder.

1,2,4,8,16,32,239,478,956,1912,3824,7648

Factors of 2534

List of positive integer factors of 2534 that divides 2534 without a remainder.

1,2,7,14,181,362,1267,2534

Greatest Common Factor

We found the factors 7648,2534 . The biggest common factor number is the GCF number.
So the greatest common factor 7648,2534 is 2.

Lets's calculate LCM of 30,283

Given numbers has no common factors except 1. So, there LCM is their product i.e 8490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8490

Therefore, the GCF of Fractions 7648/30,2534/283 is 2/8490

Least Common Multiple of 30,283 with GCF Formula

Least Common Multiple of 30,283 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 30,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,283) = 1

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

GCF(30,283) x common factors =1 x 1 = 1

LCM(30,283) = ( 30 × 283 ) / 1

LCM(30,283) = 8490 / 1

LCM(30,283) = 8490


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 7648/30, 2534/283

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 7648/30, 2534/283?

Answer: GCF of Numerators as per given numbers 7648/30, 2534/283 is

GCF of Numerators i.e. for 7648,2534 is 2

LCM of denominators i.e. for 30,283 is 8490.

Thus, GCF of Fractions is 2/8490.Finally, GCF of Fractions for 7648/30, 2534/283 is 2/8490.