How to Find GCF of 192/802, 816/945?

GCF of 192/802, 816/945

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 192/802, 816/945 i.e 48/757890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 192/802, 816/945.

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 192/802,816/945?

Given fractions are 192/802,816/945

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 192/802,816/945, numerators are 192,816

Denominators are 802,945

The GCF of 192,816 is 48 .

LCM of 802,945 is 757890.

The greatest common factor of 192/802,816/945 = [GCF of 192,816]/[LCM of 802,945]= 48/757890

Therefore, the GCF of 192/802,816/945 is 48/757890.

Greatest Common Factor of 192,816

To find the highest common factor of 192,816, 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 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

The HCF of 192,816 is 48.

Lets's calculate GCF of 192,816

Greatest Common Factor (GCF) of 192,816 By Common Division

2	192, 816
2	96, 408
2	48, 204
2	24, 102
3	12, 51
	4, 17

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Greatest Common Factor of 192,816 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 816

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 192,816 . The biggest common factor number is the GCF number.
So the greatest common factor 192,816 is 48.

Lets's calculate LCM of 802,945

Lowest Common Multiple of 802,945 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 757890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/757890

Therefore, the GCF of Fractions 192/802,816/945 is 48/757890

Least Common Multiple of 802,945 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 802,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,945) = 1

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

GCF(802,945) x common factors =1 x 1 = 1

LCM(802,945) = ( 802 × 945 ) / 1

LCM(802,945) = 757890 / 1

LCM(802,945) = 757890

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FAQs on GCF of Fractions of 192/802, 816/945

1. What is the HCF of 192,816?

The HCF of 192,816 is 48

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 192/802, 816/945?

Answer: GCF of Numerators as per given numbers 192/802, 816/945 is

GCF of Numerators i.e. for 192,816 is 48

LCM of denominators i.e. for 802,945 is 757890.

Thus, GCF of Fractions is 48/757890.Finally, GCF of Fractions for 192/802, 816/945 is 48/757890.