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GCF of 796/80, 199/7384

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 796/80, 199/7384 i.e 199/73840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 796/80, 199/7384.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 796/80,199/7384?

Given fractions are 796/80,199/7384

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 796/80,199/7384, numerators are 796,199

Denominators are 80,7384

The GCF of 796,199 is 199 .

LCM of 80,7384 is 73840.

The greatest common factor of 796/80,199/7384 = [GCF of 796,199]/[LCM of 80,7384]= 199/73840

Therefore, the GCF of 796/80,199/7384 is 199/73840.

Greatest Common Factor of 796,199

To find the highest common factor of 796,199, we have to find the factors of both numbers and list the highest common factor.

The factors of 796 are 1, 2, 4, 199, 398, 796

The factors of 199 are 1, 199

The HCF of 796,199 is 199.

Lets's calculate GCF of 796,199

Greatest Common Factor (GCF) of 796,199 By Common Division

199 796, 199
4, 1

∴ So the GCF of the given numbers is 199 = 199

Greatest Common Factor of 796,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,199 By Matching Biggest Common Factor Method

Now, list down the factors of 796

:

1,2,4,199,398,796

Now, list down the factors of 199

:

1,199

Greatest Common Factor

We found the factors 796,199 . The biggest common factor number is the GCF number.
So the greatest common factor 796,199 is 199.

Lets's calculate LCM of 80,7384

Lowest Common Multiple of 80,7384 using Common Division

2 80, 7384
2 40, 3692
2 20, 1846
10, 923

∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 923 = 73840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 199/73840

Therefore, the GCF of Fractions 796/80,199/7384 is 199/73840

Least Common Multiple of 80,7384 with GCF Formula

Least Common Multiple of 80,7384 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 80,7384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,7384) = 8

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

GCF(80,7384) x common factors =8 x 1 = 8

LCM(80,7384) = ( 80 × 7384 ) / 8

LCM(80,7384) = 590720 / 8

LCM(80,7384) = 73840


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FAQs on GCF of Fractions of 796/80, 199/7384

1. What is the HCF of 796,199?

The HCF of 796,199 is 199

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 796/80, 199/7384?

Answer: GCF of Numerators as per given numbers 796/80, 199/7384 is

GCF of Numerators i.e. for 796,199 is 199

LCM of denominators i.e. for 80,7384 is 73840.

Thus, GCF of Fractions is 199/73840.Finally, GCF of Fractions for 796/80, 199/7384 is 199/73840.