Greatest Common Factor of 67/94, 12/38, 295/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/94, 12/38, 295/465

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 67/94,12/38,295/465

Given fractions are 67/94,12/38,295/465

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 67,12,295

Greatest Common Factor of Numerators i.e. GCF of 67,12,295 is 1 .

LCM of Denominators means LCM of 94,38,465 as per the given fractions.

LCM of 94,38,465 is 830490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,12,295

GCF of Fractions 67/94,12/38,295/465 is 1/830490

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

Greatest Common Factor of 67,12,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,12,295 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 12

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

1,2,3,4,6,12

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 67,12,295 . The biggest common factor number is the GCF number.
So the greatest common factor 67,12,295 is 1.

Lets's calculate LCM of 94,38,465

2 94, 38, 465
47, 19, 465

∴ So the LCM of the given numbers is 2 x 47 x 19 x 465 = 830490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/830490

Therefore, the GCF of Fractions 67/94,12/38,295/465 is 1/830490

Least Common Multiple of 94,38,465 with GCF Formula

Least Common Multiple of 94,38,465 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 94,38,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,38,465) = 1

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

GCF(94,38,465) x common factors =1 x 2 = 2

LCM(94,38,465) = ( 94 × 38 × 465 ) / 2

LCM(94,38,465) = 1660980 / 2

LCM(94,38,465) = 830490


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 67/94, 12/38, 295/465

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 67/94, 12/38, 295/465?

Answer: GCF of Numerators as per given numbers 67/94, 12/38, 295/465 is

GCF of Numerators i.e. for 67,12,295 is 1

LCM of denominators i.e. for 94,38,465 is 830490.

Thus, GCF of Fractions is 1/830490.Finally, GCF of Fractions for 67/94, 12/38, 295/465 is 1/830490.