Greatest Common Factor of 328/210, 4414/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 328/210, 4414/654

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 328/210,4414/654

Given fractions are 328/210,4414/654

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 328,4414

Greatest Common Factor of Numerators i.e. GCF of 328,4414 is 2 .

LCM of Denominators means LCM of 210,654 as per the given fractions.

LCM of 210,654 is 22890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 328,4414

GCF of Fractions 328/210,4414/654 is 2/22890

2 328, 4414
164, 2207

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

Greatest Common Factor of 328,4414 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,4414 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 4414

List of positive integer factors of 4414 that divides 4414 without a remainder.

1,2,2207,4414

Greatest Common Factor

We found the factors 328,4414 . The biggest common factor number is the GCF number.
So the greatest common factor 328,4414 is 2.

Lets's calculate LCM of 210,654

2 210, 654
3 105, 327
35, 109

∴ So the LCM of the given numbers is 2 x 3 x 35 x 109 = 22890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22890

Therefore, the GCF of Fractions 328/210,4414/654 is 2/22890

Least Common Multiple of 210,654 with GCF Formula

Least Common Multiple of 210,654 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 210,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,654) = 6

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

GCF(210,654) x common factors =6 x 1 = 6

LCM(210,654) = ( 210 × 654 ) / 6

LCM(210,654) = 137340 / 6

LCM(210,654) = 22890


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 328/210, 4414/654

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 328/210, 4414/654?

Answer: GCF of Numerators as per given numbers 328/210, 4414/654 is

GCF of Numerators i.e. for 328,4414 is 2

LCM of denominators i.e. for 210,654 is 22890.

Thus, GCF of Fractions is 2/22890.Finally, GCF of Fractions for 328/210, 4414/654 is 2/22890.