LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 318/454, 176/327

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 318/454, 176/327 i.e 2/148458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 318/454, 176/327.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 318/454,176/327?

Given fractions are 318/454,176/327

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 318/454,176/327, numerators are 318,176

Denominators are 454,327

The GCF of 318,176 is 2 .

LCM of 454,327 is 148458.

The greatest common factor of 318/454,176/327 = [GCF of 318,176]/[LCM of 454,327]= 2/148458

Therefore, the GCF of 318/454,176/327 is 2/148458.

Greatest Common Factor of 318,176

To find the highest common factor of 318,176, we have to find the factors of both numbers and list the highest common factor.

The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318

The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

The HCF of 318,176 is 2.

Lets's calculate GCF of 318,176

Greatest Common Factor (GCF) of 318,176 By Common Division

2 318, 176
159, 88

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

Greatest Common Factor of 318,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,176 By Matching Biggest Common Factor Method

Now, list down the factors of 318

:

1,2,3,6,53,106,159,318

Now, list down the factors of 176

:

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 318,176 . The biggest common factor number is the GCF number.
So the greatest common factor 318,176 is 2.


Lets's calculate LCM of 454,327

Lowest Common Multiple of 454,327 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 148458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/148458

Therefore, the GCF of Fractions 318/454,176/327 is 2/148458

Least Common Multiple of 454,327 with GCF Formula

Least Common Multiple of 454,327 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 454,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,327) = 1

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

GCF(454,327) x common factors =1 x 1 = 1

LCM(454,327) = ( 454 × 327 ) / 1

LCM(454,327) = 148458 / 1

LCM(454,327) = 148458


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 318/454, 176/327

1. What is the HCF of 318,176?

The HCF of 318,176 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 318/454, 176/327?

Answer: GCF of Numerators as per given numbers 318/454, 176/327 is

GCF of Numerators i.e. for 318,176 is 2

LCM of denominators i.e. for 454,327 is 148458.

Thus, GCF of Fractions is 2/148458.Finally, GCF of Fractions for 318/454, 176/327 is 2/148458.