Greatest Common Factor of 548/2303, 688/4223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 548/2303, 688/4223

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 548/2303,688/4223

Given fractions are 548/2303,688/4223

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 548,688

Greatest Common Factor of Numerators i.e. GCF of 548,688 is 4 .

LCM of Denominators means LCM of 2303,4223 as per the given fractions.

LCM of 2303,4223 is 9725569 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 548,688

GCF of Fractions 548/2303,688/4223 is 4/9725569

2 548, 688
2 274, 344
137, 172

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 548,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,688 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 548,688 . The biggest common factor number is the GCF number.
So the greatest common factor 548,688 is 4.

Lets's calculate LCM of 2303,4223

Given numbers has no common factors except 1. So, there LCM is their product i.e 9725569

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9725569

Therefore, the GCF of Fractions 548/2303,688/4223 is 4/9725569

Least Common Multiple of 2303,4223 with GCF Formula

Least Common Multiple of 2303,4223 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 2303,4223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2303,4223) = 1

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

GCF(2303,4223) x common factors =1 x 1 = 1

LCM(2303,4223) = ( 2303 × 4223 ) / 1

LCM(2303,4223) = 9725569 / 1

LCM(2303,4223) = 9725569


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 548/2303, 688/4223

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 548/2303, 688/4223?

Answer: GCF of Numerators as per given numbers 548/2303, 688/4223 is

GCF of Numerators i.e. for 548,688 is 4

LCM of denominators i.e. for 2303,4223 is 9725569.

Thus, GCF of Fractions is 4/9725569.Finally, GCF of Fractions for 548/2303, 688/4223 is 4/9725569.