How to Find GCF of 30/90, 342/67, 256/815?

GCF of 30/90, 342/67, 256/815

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 30/90, 342/67, 256/815 i.e 2/982890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/90, 342/67, 256/815.

Enter two or more fractions separated by "commas"

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

What is the GCF of 30/90,342/67,256/815?

Given fractions are 30/90,342/67,256/815

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 30/90,342/67,256/815, numerators are 30,342,256

Denominators are 90,67,815

The GCF of 30,342,256 is 2 .

LCM of 90,67,815 is 982890.

The greatest common factor of 30/90,342/67,256/815 = [GCF of 30,342,256]/[LCM of 90,67,815]= 2/982890

Therefore, the GCF of 30/90,342/67,256/815 is 2/982890.

Greatest Common Factor of 30,342,256

To find the highest common factor of 30,342,256, we have to find the factors of both numbers and list the highest common factor.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256

The HCF of 30,342,256 is 2.

Lets's calculate GCF of 30,342,256

Greatest Common Factor (GCF) of 30,342,256 By Common Division

2	30, 342, 256
	15, 171, 128

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

Greatest Common Factor of 30,342,256 By Matching Biggest Common Factor Method

Now, list down the factors of 30

1,2,3,5,6,10,15,30

Now, list down the factors of 342

1,2,3,6,9,18,19,38,57,114,171,342

Now, list down the factors of 256

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 30,342,256 . The biggest common factor number is the GCF number.
So the greatest common factor 30,342,256 is 2.

Lets's calculate LCM of 90,67,815

Lowest Common Multiple of 90,67,815 using Common Division

5	90, 67, 815
	18, 67, 163

∴ So the LCM of the given numbers is 5 x 18 x 67 x 163 = 982890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/982890

Therefore, the GCF of Fractions 30/90,342/67,256/815 is 2/982890

Least Common Multiple of 90,67,815 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 90,67,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,67,815) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(90,67,815) x common factors =1 x 5 = 5

LCM(90,67,815) = ( 90 × 67 × 815 ) / 5

LCM(90,67,815) = 4914450 / 5

LCM(90,67,815) = 982890

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 30/90, 342/67, 256/815

1. What is the HCF of 30,342,256?

The HCF of 30,342,256 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 30/90, 342/67, 256/815?

Answer: GCF of Numerators as per given numbers 30/90, 342/67, 256/815 is

GCF of Numerators i.e. for 30,342,256 is 2

LCM of denominators i.e. for 90,67,815 is 982890.

Thus, GCF of Fractions is 2/982890.Finally, GCF of Fractions for 30/90, 342/67, 256/815 is 2/982890.