How to Find GCF of 92/28, 152/43, 215/978?

GCF of 92/28, 152/43, 215/978

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 92/28, 152/43, 215/978 i.e 1/588756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/28, 152/43, 215/978.

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 92/28,152/43,215/978?

Given fractions are 92/28,152/43,215/978

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 92/28,152/43,215/978, numerators are 92,152,215

Denominators are 28,43,978

The GCF of 92,152,215 is 1 .

LCM of 28,43,978 is 588756.

The greatest common factor of 92/28,152/43,215/978 = [GCF of 92,152,215]/[LCM of 28,43,978]= 1/588756

Therefore, the GCF of 92/28,152/43,215/978 is 1/588756.

Greatest Common Factor of 92,152,215

To find the highest common factor of 92,152,215, 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 152 are 1, 2, 4, 8, 19, 38, 76, 152

The factors of 215 are 1, 5, 43, 215

The HCF of 92,152,215 is 1.

Lets's calculate GCF of 92,152,215

Greatest Common Factor (GCF) of 92,152,215 By Common Division

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

Greatest Common Factor of 92,152,215 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 152

1,2,4,8,19,38,76,152

Now, list down the factors of 215

1,5,43,215

Greatest Common Factor

We found the factors 92,152,215 . The biggest common factor number is the GCF number.
So the greatest common factor 92,152,215 is 1.

Lets's calculate LCM of 28,43,978

Lowest Common Multiple of 28,43,978 using Common Division

2	28, 43, 978
	14, 43, 489

∴ So the LCM of the given numbers is 2 x 14 x 43 x 489 = 588756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/588756

Therefore, the GCF of Fractions 92/28,152/43,215/978 is 1/588756

Least Common Multiple of 28,43,978 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 28,43,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,43,978) = 1

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

GCF(28,43,978) x common factors =1 x 2 = 2

LCM(28,43,978) = ( 28 × 43 × 978 ) / 2

LCM(28,43,978) = 1177512 / 2

LCM(28,43,978) = 588756

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 92/28, 152/43, 215/978

1. What is the HCF of 92,152,215?

The HCF of 92,152,215 is 1

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 92/28, 152/43, 215/978?

Answer: GCF of Numerators as per given numbers 92/28, 152/43, 215/978 is

GCF of Numerators i.e. for 92,152,215 is 1

LCM of denominators i.e. for 28,43,978 is 588756.

Thus, GCF of Fractions is 1/588756.Finally, GCF of Fractions for 92/28, 152/43, 215/978 is 1/588756.