Greatest Common Factor of 238/51, 488/5680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/51, 488/5680

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 238/51,488/5680

Given fractions are 238/51,488/5680

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 238,488

Greatest Common Factor of Numerators i.e. GCF of 238,488 is 2 .

LCM of Denominators means LCM of 51,5680 as per the given fractions.

LCM of 51,5680 is 289680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,488

GCF of Fractions 238/51,488/5680 is 2/289680

2 238, 488
119, 244

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

Greatest Common Factor of 238,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,488 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 238,488 . The biggest common factor number is the GCF number.
So the greatest common factor 238,488 is 2.

Lets's calculate LCM of 51,5680

Given numbers has no common factors except 1. So, there LCM is their product i.e 289680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/289680

Therefore, the GCF of Fractions 238/51,488/5680 is 2/289680

Least Common Multiple of 51,5680 with GCF Formula

Least Common Multiple of 51,5680 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 51,5680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,5680) = 1

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

GCF(51,5680) x common factors =1 x 1 = 1

LCM(51,5680) = ( 51 × 5680 ) / 1

LCM(51,5680) = 289680 / 1

LCM(51,5680) = 289680


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 238/51, 488/5680

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 238/51, 488/5680?

Answer: GCF of Numerators as per given numbers 238/51, 488/5680 is

GCF of Numerators i.e. for 238,488 is 2

LCM of denominators i.e. for 51,5680 is 289680.

Thus, GCF of Fractions is 2/289680.Finally, GCF of Fractions for 238/51, 488/5680 is 2/289680.