Greatest Common Factor of 2393/248, 1688/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2393/248, 1688/222

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 2393/248,1688/222

Given fractions are 2393/248,1688/222

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 2393,1688

Greatest Common Factor of Numerators i.e. GCF of 2393,1688 is 1 .

LCM of Denominators means LCM of 248,222 as per the given fractions.

LCM of 248,222 is 27528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2393,1688

GCF of Fractions 2393/248,1688/222 is 1/27528

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

Greatest Common Factor of 2393,1688 By Matching Biggest Common Factor Method

Greatest Common Factor of 2393,1688 By Matching Biggest Common Factor Method

Factors of 2393

List of positive integer factors of 2393 that divides 2393 without a remainder.

1,2393

Factors of 1688

List of positive integer factors of 1688 that divides 1688 without a remainder.

1,2,4,8,211,422,844,1688

Greatest Common Factor

We found the factors 2393,1688 . The biggest common factor number is the GCF number.
So the greatest common factor 2393,1688 is 1.

Lets's calculate LCM of 248,222

2 248, 222
124, 111

∴ So the LCM of the given numbers is 2 x 124 x 111 = 27528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27528

Therefore, the GCF of Fractions 2393/248,1688/222 is 1/27528

Least Common Multiple of 248,222 with GCF Formula

Least Common Multiple of 248,222 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 248,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,222) = 2

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

GCF(248,222) x common factors =2 x 1 = 2

LCM(248,222) = ( 248 × 222 ) / 2

LCM(248,222) = 55056 / 2

LCM(248,222) = 27528


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 2393/248, 1688/222

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 2393/248, 1688/222?

Answer: GCF of Numerators as per given numbers 2393/248, 1688/222 is

GCF of Numerators i.e. for 2393,1688 is 1

LCM of denominators i.e. for 248,222 is 27528.

Thus, GCF of Fractions is 1/27528.Finally, GCF of Fractions for 2393/248, 1688/222 is 1/27528.