How to Find GCF of 55/65, 513/71, 711/936?

GCF of 55/65, 513/71, 711/936

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 55/65, 513/71, 711/936 i.e 1/332280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/65, 513/71, 711/936.

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 55/65,513/71,711/936?

Given fractions are 55/65,513/71,711/936

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 55/65,513/71,711/936, numerators are 55,513,711

Denominators are 65,71,936

The GCF of 55,513,711 is 1 .

LCM of 65,71,936 is 332280.

The greatest common factor of 55/65,513/71,711/936 = [GCF of 55,513,711]/[LCM of 65,71,936]= 1/332280

Therefore, the GCF of 55/65,513/71,711/936 is 1/332280.

Greatest Common Factor of 55,513,711

To find the highest common factor of 55,513,711, we have to find the factors of both numbers and list the highest common factor.

The factors of 55 are 1, 5, 11, 55

The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513

The factors of 711 are 1, 3, 9, 79, 237, 711

The HCF of 55,513,711 is 1.

Lets's calculate GCF of 55,513,711

Greatest Common Factor (GCF) of 55,513,711 By Common Division

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

Greatest Common Factor of 55,513,711 By Matching Biggest Common Factor Method

Now, list down the factors of 55

1,5,11,55

Now, list down the factors of 513

1,3,9,19,27,57,171,513

Now, list down the factors of 711

1,3,9,79,237,711

Greatest Common Factor

We found the factors 55,513,711 . The biggest common factor number is the GCF number.
So the greatest common factor 55,513,711 is 1.

Lets's calculate LCM of 65,71,936

Lowest Common Multiple of 65,71,936 using Common Division

13	65, 71, 936
	5, 71, 72

∴ So the LCM of the given numbers is 13 x 5 x 71 x 72 = 332280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332280

Therefore, the GCF of Fractions 55/65,513/71,711/936 is 1/332280

Least Common Multiple of 65,71,936 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 65,71,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,71,936) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(65,71,936) x common factors =1 x 13 = 13

LCM(65,71,936) = ( 65 × 71 × 936 ) / 13

LCM(65,71,936) = 4319640 / 13

LCM(65,71,936) = 332280

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 55/65, 513/71, 711/936

1. What is the HCF of 55,513,711?

The HCF of 55,513,711 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 55/65, 513/71, 711/936?

Answer: GCF of Numerators as per given numbers 55/65, 513/71, 711/936 is

GCF of Numerators i.e. for 55,513,711 is 1

LCM of denominators i.e. for 65,71,936 is 332280.

Thus, GCF of Fractions is 1/332280.Finally, GCF of Fractions for 55/65, 513/71, 711/936 is 1/332280.