How to Find GCF of 20/296, 40/146, 838/345?

GCF of 20/296, 40/146, 838/345

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 20/296, 40/146, 838/345 i.e 2/7454760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/296, 40/146, 838/345.

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 20/296,40/146,838/345?

Given fractions are 20/296,40/146,838/345

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 20/296,40/146,838/345, numerators are 20,40,838

Denominators are 296,146,345

The GCF of 20,40,838 is 2 .

LCM of 296,146,345 is 7454760.

The greatest common factor of 20/296,40/146,838/345 = [GCF of 20,40,838]/[LCM of 296,146,345]= 2/7454760

Therefore, the GCF of 20/296,40/146,838/345 is 2/7454760.

Greatest Common Factor of 20,40,838

To find the highest common factor of 20,40,838, we have to find the factors of both numbers and list the highest common factor.

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 838 are 1, 2, 419, 838

The HCF of 20,40,838 is 2.

Lets's calculate GCF of 20,40,838

Greatest Common Factor (GCF) of 20,40,838 By Common Division

2	20, 40, 838
	10, 20, 419

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

Greatest Common Factor of 20,40,838 By Matching Biggest Common Factor Method

Now, list down the factors of 20

1,2,4,5,10,20

Now, list down the factors of 40

1,2,4,5,8,10,20,40

Now, list down the factors of 838

1,2,419,838

Greatest Common Factor

We found the factors 20,40,838 . The biggest common factor number is the GCF number.
So the greatest common factor 20,40,838 is 2.

Lets's calculate LCM of 296,146,345

Lowest Common Multiple of 296,146,345 using Common Division

2	296, 146, 345
	148, 73, 345

∴ So the LCM of the given numbers is 2 x 148 x 73 x 345 = 7454760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7454760

Therefore, the GCF of Fractions 20/296,40/146,838/345 is 2/7454760

Least Common Multiple of 296,146,345 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 296,146,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,146,345) = 1

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

GCF(296,146,345) x common factors =1 x 2 = 2

LCM(296,146,345) = ( 296 × 146 × 345 ) / 2

LCM(296,146,345) = 14909520 / 2

LCM(296,146,345) = 7454760

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 20/296, 40/146, 838/345

1. What is the HCF of 20,40,838?

The HCF of 20,40,838 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 20/296, 40/146, 838/345?

Answer: GCF of Numerators as per given numbers 20/296, 40/146, 838/345 is

GCF of Numerators i.e. for 20,40,838 is 2

LCM of denominators i.e. for 296,146,345 is 7454760.

Thus, GCF of Fractions is 2/7454760.Finally, GCF of Fractions for 20/296, 40/146, 838/345 is 2/7454760.