Greatest Common Factor of 356/484, 320/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 356/484, 320/414

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 356/484,320/414

Given fractions are 356/484,320/414

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 356,320

Greatest Common Factor of Numerators i.e. GCF of 356,320 is 4 .

LCM of Denominators means LCM of 484,414 as per the given fractions.

LCM of 484,414 is 100188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 356,320

GCF of Fractions 356/484,320/414 is 4/100188

2 356, 320
2 178, 160
89, 80

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

Greatest Common Factor of 356,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,320 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 356,320 . The biggest common factor number is the GCF number.
So the greatest common factor 356,320 is 4.

Lets's calculate LCM of 484,414

2 484, 414
242, 207

∴ So the LCM of the given numbers is 2 x 242 x 207 = 100188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/100188

Therefore, the GCF of Fractions 356/484,320/414 is 4/100188

Least Common Multiple of 484,414 with GCF Formula

Least Common Multiple of 484,414 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 484,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,414) = 2

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

GCF(484,414) x common factors =2 x 1 = 2

LCM(484,414) = ( 484 × 414 ) / 2

LCM(484,414) = 200376 / 2

LCM(484,414) = 100188


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 356/484, 320/414

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 356/484, 320/414?

Answer: GCF of Numerators as per given numbers 356/484, 320/414 is

GCF of Numerators i.e. for 356,320 is 4

LCM of denominators i.e. for 484,414 is 100188.

Thus, GCF of Fractions is 4/100188.Finally, GCF of Fractions for 356/484, 320/414 is 4/100188.