Greatest Common Factor of 12/74, 88/32, 303/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/74, 88/32, 303/417

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 12/74,88/32,303/417

Given fractions are 12/74,88/32,303/417

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 12,88,303

Greatest Common Factor of Numerators i.e. GCF of 12,88,303 is 1 .

LCM of Denominators means LCM of 74,32,417 as per the given fractions.

LCM of 74,32,417 is 493728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,88,303

GCF of Fractions 12/74,88/32,303/417 is 1/493728

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 12,88,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,88,303 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

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

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 12,88,303 . The biggest common factor number is the GCF number.
So the greatest common factor 12,88,303 is 1.

Lets's calculate LCM of 74,32,417

2 74, 32, 417
37, 16, 417

∴ So the LCM of the given numbers is 2 x 37 x 16 x 417 = 493728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/493728

Therefore, the GCF of Fractions 12/74,88/32,303/417 is 1/493728

Least Common Multiple of 74,32,417 with GCF Formula

Least Common Multiple of 74,32,417 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 74,32,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,32,417) = 1

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

GCF(74,32,417) x common factors =1 x 2 = 2

LCM(74,32,417) = ( 74 × 32 × 417 ) / 2

LCM(74,32,417) = 987456 / 2

LCM(74,32,417) = 493728


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 12/74, 88/32, 303/417

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 12/74, 88/32, 303/417?

Answer: GCF of Numerators as per given numbers 12/74, 88/32, 303/417 is

GCF of Numerators i.e. for 12,88,303 is 1

LCM of denominators i.e. for 74,32,417 is 493728.

Thus, GCF of Fractions is 1/493728.Finally, GCF of Fractions for 12/74, 88/32, 303/417 is 1/493728.