How to Find GCF of 5265/585, 4108/8572?

GCF of 5265/585, 4108/8572

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 5265/585, 4108/8572 i.e 13/5014620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5265/585, 4108/8572.

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 5265/585,4108/8572?

Given fractions are 5265/585,4108/8572

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 5265/585,4108/8572, numerators are 5265,4108

Denominators are 585,8572

The GCF of 5265,4108 is 13 .

LCM of 585,8572 is 5014620.

The greatest common factor of 5265/585,4108/8572 = [GCF of 5265,4108]/[LCM of 585,8572]= 13/5014620

Therefore, the GCF of 5265/585,4108/8572 is 13/5014620.

Greatest Common Factor of 5265,4108

To find the highest common factor of 5265,4108, we have to find the factors of both numbers and list the highest common factor.

The factors of 5265 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265

The factors of 4108 are 1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108

The HCF of 5265,4108 is 13.

Lets's calculate GCF of 5265,4108

Greatest Common Factor (GCF) of 5265,4108 By Common Division

13	5265, 4108
	405, 316

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 5265,4108 By Matching Biggest Common Factor Method

Now, list down the factors of 5265

1,3,5,9,13,15,27,39,45,65,81,117,135,195,351,405,585,1053,1755,5265

Now, list down the factors of 4108

1,2,4,13,26,52,79,158,316,1027,2054,4108

Greatest Common Factor

We found the factors 5265,4108 . The biggest common factor number is the GCF number.
So the greatest common factor 5265,4108 is 13.

Lets's calculate LCM of 585,8572

Lowest Common Multiple of 585,8572 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5014620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5014620

Therefore, the GCF of Fractions 5265/585,4108/8572 is 13/5014620

Least Common Multiple of 585,8572 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 585,8572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,8572) = 1

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

GCF(585,8572) x common factors =1 x 1 = 1

LCM(585,8572) = ( 585 × 8572 ) / 1

LCM(585,8572) = 5014620 / 1

LCM(585,8572) = 5014620

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FAQs on GCF of Fractions of 5265/585, 4108/8572

1. What is the HCF of 5265,4108?

The HCF of 5265,4108 is 13

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 5265/585, 4108/8572?

Answer: GCF of Numerators as per given numbers 5265/585, 4108/8572 is

GCF of Numerators i.e. for 5265,4108 is 13

LCM of denominators i.e. for 585,8572 is 5014620.

Thus, GCF of Fractions is 13/5014620.Finally, GCF of Fractions for 5265/585, 4108/8572 is 13/5014620.