How to Find GCF of 192/11, 772/9418?

GCF of 192/11, 772/9418

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 192/11, 772/9418 i.e 4/103598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 192/11, 772/9418.

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 192/11,772/9418?

Given fractions are 192/11,772/9418

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 192/11,772/9418, numerators are 192,772

Denominators are 11,9418

The GCF of 192,772 is 4 .

LCM of 11,9418 is 103598.

The greatest common factor of 192/11,772/9418 = [GCF of 192,772]/[LCM of 11,9418]= 4/103598

Therefore, the GCF of 192/11,772/9418 is 4/103598.

Greatest Common Factor of 192,772

To find the highest common factor of 192,772, we have to find the factors of both numbers and list the highest common factor.

The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

The factors of 772 are 1, 2, 4, 193, 386, 772

The HCF of 192,772 is 4.

Lets's calculate GCF of 192,772

Greatest Common Factor (GCF) of 192,772 By Common Division

2	192, 772
2	96, 386
	48, 193

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 192,772 By Matching Biggest Common Factor Method

Now, list down the factors of 192

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Now, list down the factors of 772

1,2,4,193,386,772

Greatest Common Factor

We found the factors 192,772 . The biggest common factor number is the GCF number.
So the greatest common factor 192,772 is 4.

Lets's calculate LCM of 11,9418

Lowest Common Multiple of 11,9418 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 103598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/103598

Therefore, the GCF of Fractions 192/11,772/9418 is 4/103598

Least Common Multiple of 11,9418 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 11,9418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,9418) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(11,9418) x common factors =1 x 1 = 1

LCM(11,9418) = ( 11 × 9418 ) / 1

LCM(11,9418) = 103598 / 1

LCM(11,9418) = 103598

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FAQs on GCF of Fractions of 192/11, 772/9418

1. What is the HCF of 192,772?

The HCF of 192,772 is 4

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 192/11, 772/9418?

Answer: GCF of Numerators as per given numbers 192/11, 772/9418 is

GCF of Numerators i.e. for 192,772 is 4

LCM of denominators i.e. for 11,9418 is 103598.

Thus, GCF of Fractions is 4/103598.Finally, GCF of Fractions for 192/11, 772/9418 is 4/103598.