How to Find GCF of 5264/199, 3316/813?

GCF of 5264/199, 3316/813

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 5264/199, 3316/813 i.e 4/161787 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5264/199, 3316/813.

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 5264/199,3316/813?

Given fractions are 5264/199,3316/813

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 5264/199,3316/813, numerators are 5264,3316

Denominators are 199,813

The GCF of 5264,3316 is 4 .

LCM of 199,813 is 161787.

The greatest common factor of 5264/199,3316/813 = [GCF of 5264,3316]/[LCM of 199,813]= 4/161787

Therefore, the GCF of 5264/199,3316/813 is 4/161787.

Greatest Common Factor of 5264,3316

To find the highest common factor of 5264,3316, we have to find the factors of both numbers and list the highest common factor.

The factors of 5264 are 1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658, 752, 1316, 2632, 5264

The factors of 3316 are 1, 2, 4, 829, 1658, 3316

The HCF of 5264,3316 is 4.

Lets's calculate GCF of 5264,3316

Greatest Common Factor (GCF) of 5264,3316 By Common Division

2	5264, 3316
2	2632, 1658
	1316, 829

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

Greatest Common Factor of 5264,3316 By Matching Biggest Common Factor Method

Now, list down the factors of 5264

1,2,4,7,8,14,16,28,47,56,94,112,188,329,376,658,752,1316,2632,5264

Now, list down the factors of 3316

1,2,4,829,1658,3316

Greatest Common Factor

We found the factors 5264,3316 . The biggest common factor number is the GCF number.
So the greatest common factor 5264,3316 is 4.

Lets's calculate LCM of 199,813

Lowest Common Multiple of 199,813 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 161787

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/161787

Therefore, the GCF of Fractions 5264/199,3316/813 is 4/161787

Least Common Multiple of 199,813 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 199,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,813) = 1

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

GCF(199,813) x common factors =1 x 1 = 1

LCM(199,813) = ( 199 × 813 ) / 1

LCM(199,813) = 161787 / 1

LCM(199,813) = 161787

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FAQs on GCF of Fractions of 5264/199, 3316/813

1. What is the HCF of 5264,3316?

The HCF of 5264,3316 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 5264/199, 3316/813?

Answer: GCF of Numerators as per given numbers 5264/199, 3316/813 is

GCF of Numerators i.e. for 5264,3316 is 4

LCM of denominators i.e. for 199,813 is 161787.

Thus, GCF of Fractions is 4/161787.Finally, GCF of Fractions for 5264/199, 3316/813 is 4/161787.