How to Find GCF of 5764/199, 8836/1325?

GCF of 5764/199, 8836/1325

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 5764/199, 8836/1325 i.e 4/263675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5764/199, 8836/1325.

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 5764/199,8836/1325?

Given fractions are 5764/199,8836/1325

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 5764/199,8836/1325, numerators are 5764,8836

Denominators are 199,1325

The GCF of 5764,8836 is 4 .

LCM of 199,1325 is 263675.

The greatest common factor of 5764/199,8836/1325 = [GCF of 5764,8836]/[LCM of 199,1325]= 4/263675

Therefore, the GCF of 5764/199,8836/1325 is 4/263675.

Greatest Common Factor of 5764,8836

To find the highest common factor of 5764,8836, we have to find the factors of both numbers and list the highest common factor.

The factors of 5764 are 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764

The factors of 8836 are 1, 2, 4, 47, 94, 188, 2209, 4418, 8836

The HCF of 5764,8836 is 4.

Lets's calculate GCF of 5764,8836

Greatest Common Factor (GCF) of 5764,8836 By Common Division

2	5764, 8836
2	2882, 4418
	1441, 2209

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

Greatest Common Factor of 5764,8836 By Matching Biggest Common Factor Method

Now, list down the factors of 5764

1,2,4,11,22,44,131,262,524,1441,2882,5764

Now, list down the factors of 8836

1,2,4,47,94,188,2209,4418,8836

Greatest Common Factor

We found the factors 5764,8836 . The biggest common factor number is the GCF number.
So the greatest common factor 5764,8836 is 4.

Lets's calculate LCM of 199,1325

Lowest Common Multiple of 199,1325 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 263675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/263675

Therefore, the GCF of Fractions 5764/199,8836/1325 is 4/263675

Least Common Multiple of 199,1325 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 199,1325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,1325) = 1

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

GCF(199,1325) x common factors =1 x 1 = 1

LCM(199,1325) = ( 199 × 1325 ) / 1

LCM(199,1325) = 263675 / 1

LCM(199,1325) = 263675

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FAQs on GCF of Fractions of 5764/199, 8836/1325

1. What is the HCF of 5764,8836?

The HCF of 5764,8836 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 5764/199, 8836/1325?

Answer: GCF of Numerators as per given numbers 5764/199, 8836/1325 is

GCF of Numerators i.e. for 5764,8836 is 4

LCM of denominators i.e. for 199,1325 is 263675.

Thus, GCF of Fractions is 4/263675.Finally, GCF of Fractions for 5764/199, 8836/1325 is 4/263675.