How to Find GCF of 92/30, 38/87, 872/488?

GCF of 92/30, 38/87, 872/488

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 92/30, 38/87, 872/488 i.e 2/212280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/30, 38/87, 872/488.

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 92/30,38/87,872/488?

Given fractions are 92/30,38/87,872/488

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 92/30,38/87,872/488, numerators are 92,38,872

Denominators are 30,87,488

The GCF of 92,38,872 is 2 .

LCM of 30,87,488 is 212280.

The greatest common factor of 92/30,38/87,872/488 = [GCF of 92,38,872]/[LCM of 30,87,488]= 2/212280

Therefore, the GCF of 92/30,38/87,872/488 is 2/212280.

Greatest Common Factor of 92,38,872

To find the highest common factor of 92,38,872, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 38 are 1, 2, 19, 38

The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872

The HCF of 92,38,872 is 2.

Lets's calculate GCF of 92,38,872

Greatest Common Factor (GCF) of 92,38,872 By Common Division

2	92, 38, 872
	46, 19, 436

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

Greatest Common Factor of 92,38,872 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 872

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 92,38,872 . The biggest common factor number is the GCF number.
So the greatest common factor 92,38,872 is 2.

Lets's calculate LCM of 30,87,488

Lowest Common Multiple of 30,87,488 using Common Division

2	30, 87, 488
3	15, 87, 244
	5, 29, 244

∴ So the LCM of the given numbers is 2 x 3 x 5 x 29 x 244 = 212280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/212280

Therefore, the GCF of Fractions 92/30,38/87,872/488 is 2/212280

Least Common Multiple of 30,87,488 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 30,87,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,87,488) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(30,87,488) x common factors =1 x 6 = 6

LCM(30,87,488) = ( 30 × 87 × 488 ) / 6

LCM(30,87,488) = 1273680 / 6

LCM(30,87,488) = 212280

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 92/30, 38/87, 872/488

1. What is the HCF of 92,38,872?

The HCF of 92,38,872 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 92/30, 38/87, 872/488?

Answer: GCF of Numerators as per given numbers 92/30, 38/87, 872/488 is

GCF of Numerators i.e. for 92,38,872 is 2

LCM of denominators i.e. for 30,87,488 is 212280.

Thus, GCF of Fractions is 2/212280.Finally, GCF of Fractions for 92/30, 38/87, 872/488 is 2/212280.