Greatest Common Factor of 348/466, 548/587, 306/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 348/466, 548/587, 306/256

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 348/466,548/587,306/256

Given fractions are 348/466,548/587,306/256

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 348,548,306

Greatest Common Factor of Numerators i.e. GCF of 348,548,306 is 2 .

LCM of Denominators means LCM of 466,587,256 as per the given fractions.

LCM of 466,587,256 is 35013376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 348,548,306

GCF of Fractions 348/466,548/587,306/256 is 2/35013376

2 348, 548, 306
174, 274, 153

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

Greatest Common Factor of 348,548,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,548,306 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 548

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

1,2,4,137,274,548

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 348,548,306 . The biggest common factor number is the GCF number.
So the greatest common factor 348,548,306 is 2.

Lets's calculate LCM of 466,587,256

2 466, 587, 256
233, 587, 128

∴ So the LCM of the given numbers is 2 x 233 x 587 x 128 = 35013376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35013376

Therefore, the GCF of Fractions 348/466,548/587,306/256 is 2/35013376

Least Common Multiple of 466,587,256 with GCF Formula

Least Common Multiple of 466,587,256 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 466,587,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,587,256) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(466,587,256) x common factors =1 x 2 = 2

LCM(466,587,256) = ( 466 × 587 × 256 ) / 2

LCM(466,587,256) = 70026752 / 2

LCM(466,587,256) = 35013376


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 348/466, 548/587, 306/256

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 348/466, 548/587, 306/256?

Answer: GCF of Numerators as per given numbers 348/466, 548/587, 306/256 is

GCF of Numerators i.e. for 348,548,306 is 2

LCM of denominators i.e. for 466,587,256 is 35013376.

Thus, GCF of Fractions is 2/35013376.Finally, GCF of Fractions for 348/466, 548/587, 306/256 is 2/35013376.