How to Find GCF of 92/28, 198/69, 451/152?

GCF of 92/28, 198/69, 451/152

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, 198/69, 451/152 i.e 1/73416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/28, 198/69, 451/152.

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 92/28,198/69,451/152?

Given fractions are 92/28,198/69,451/152

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 92/28,198/69,451/152, numerators are 92,198,451

Denominators are 28,69,152

The GCF of 92,198,451 is 1 .

LCM of 28,69,152 is 73416.

The greatest common factor of 92/28,198/69,451/152 = [GCF of 92,198,451]/[LCM of 28,69,152]= 1/73416

Therefore, the GCF of 92/28,198/69,451/152 is 1/73416.

Greatest Common Factor of 92,198,451

To find the highest common factor of 92,198,451, 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 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

The factors of 451 are 1, 11, 41, 451

The HCF of 92,198,451 is 1.

Lets's calculate GCF of 92,198,451

Greatest Common Factor (GCF) of 92,198,451 By Common Division

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

Greatest Common Factor of 92,198,451 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 198

1,2,3,6,9,11,18,22,33,66,99,198

Now, list down the factors of 451

1,11,41,451

Greatest Common Factor

We found the factors 92,198,451 . The biggest common factor number is the GCF number.
So the greatest common factor 92,198,451 is 1.

Lets's calculate LCM of 28,69,152

Lowest Common Multiple of 28,69,152 using Common Division

2	28, 69, 152
2	14, 69, 76
	7, 69, 38

∴ So the LCM of the given numbers is 2 x 2 x 7 x 69 x 38 = 73416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73416

Therefore, the GCF of Fractions 92/28,198/69,451/152 is 1/73416

Least Common Multiple of 28,69,152 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 28,69,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,69,152) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(28,69,152) x common factors =1 x 4 = 4

LCM(28,69,152) = ( 28 × 69 × 152 ) / 4

LCM(28,69,152) = 293664 / 4

LCM(28,69,152) = 73416

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 92/28, 198/69, 451/152

1. What is the HCF of 92,198,451?

The HCF of 92,198,451 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, 198/69, 451/152?

Answer: GCF of Numerators as per given numbers 92/28, 198/69, 451/152 is

GCF of Numerators i.e. for 92,198,451 is 1

LCM of denominators i.e. for 28,69,152 is 73416.

Thus, GCF of Fractions is 1/73416.Finally, GCF of Fractions for 92/28, 198/69, 451/152 is 1/73416.