How to Find GCF of 5419/275, 8036/9152?

GCF of 5419/275, 8036/9152

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 5419/275, 8036/9152 i.e 1/228800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5419/275, 8036/9152.

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 5419/275,8036/9152?

Given fractions are 5419/275,8036/9152

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 5419/275,8036/9152, numerators are 5419,8036

Denominators are 275,9152

The GCF of 5419,8036 is 1 .

LCM of 275,9152 is 228800.

The greatest common factor of 5419/275,8036/9152 = [GCF of 5419,8036]/[LCM of 275,9152]= 1/228800

Therefore, the GCF of 5419/275,8036/9152 is 1/228800.

Greatest Common Factor of 5419,8036

To find the highest common factor of 5419,8036, we have to find the factors of both numbers and list the highest common factor.

The factors of 5419 are 1, 5419

The factors of 8036 are 1, 2, 4, 7, 14, 28, 41, 49, 82, 98, 164, 196, 287, 574, 1148, 2009, 4018, 8036

The HCF of 5419,8036 is 1.

Lets's calculate GCF of 5419,8036

Greatest Common Factor (GCF) of 5419,8036 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5419,8036 By Matching Biggest Common Factor Method

Now, list down the factors of 5419

1,5419

Now, list down the factors of 8036

1,2,4,7,14,28,41,49,82,98,164,196,287,574,1148,2009,4018,8036

Greatest Common Factor

We found the factors 5419,8036 . The biggest common factor number is the GCF number.
So the greatest common factor 5419,8036 is 1.

Lets's calculate LCM of 275,9152

Lowest Common Multiple of 275,9152 using Common Division

11	275, 9152
	25, 832

∴ So the LCM of the given numbers is 11 x 25 x 832 = 228800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228800

Therefore, the GCF of Fractions 5419/275,8036/9152 is 1/228800

Least Common Multiple of 275,9152 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 275,9152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,9152) = 11

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

GCF(275,9152) x common factors =11 x 1 = 11

LCM(275,9152) = ( 275 × 9152 ) / 11

LCM(275,9152) = 2516800 / 11

LCM(275,9152) = 228800

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FAQs on GCF of Fractions of 5419/275, 8036/9152

1. What is the HCF of 5419,8036?

The HCF of 5419,8036 is 1

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 5419/275, 8036/9152?

Answer: GCF of Numerators as per given numbers 5419/275, 8036/9152 is

GCF of Numerators i.e. for 5419,8036 is 1

LCM of denominators i.e. for 275,9152 is 228800.

Thus, GCF of Fractions is 1/228800.Finally, GCF of Fractions for 5419/275, 8036/9152 is 1/228800.