How to Find GCF of 59/13, 91/41, 552/385?

GCF of 59/13, 91/41, 552/385

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 59/13, 91/41, 552/385 i.e 1/205205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 59/13, 91/41, 552/385.

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 59/13,91/41,552/385?

Given fractions are 59/13,91/41,552/385

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 59/13,91/41,552/385, numerators are 59,91,552

Denominators are 13,41,385

The GCF of 59,91,552 is 1 .

LCM of 13,41,385 is 205205.

The greatest common factor of 59/13,91/41,552/385 = [GCF of 59,91,552]/[LCM of 13,41,385]= 1/205205

Therefore, the GCF of 59/13,91/41,552/385 is 1/205205.

Greatest Common Factor of 59,91,552

To find the highest common factor of 59,91,552, we have to find the factors of both numbers and list the highest common factor.

The factors of 59 are 1, 59

The factors of 91 are 1, 7, 13, 91

The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

The HCF of 59,91,552 is 1.

Lets's calculate GCF of 59,91,552

Greatest Common Factor (GCF) of 59,91,552 By Common Division

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

Greatest Common Factor of 59,91,552 By Matching Biggest Common Factor Method

Now, list down the factors of 59

1,59

Now, list down the factors of 91

1,7,13,91

Now, list down the factors of 552

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 59,91,552 . The biggest common factor number is the GCF number.
So the greatest common factor 59,91,552 is 1.

Lets's calculate LCM of 13,41,385

Lowest Common Multiple of 13,41,385 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 205205

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205205

Therefore, the GCF of Fractions 59/13,91/41,552/385 is 1/205205

Least Common Multiple of 13,41,385 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 13,41,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,41,385) = 1

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

GCF(13,41,385) x common factors =1 x 1 = 1

LCM(13,41,385) = ( 13 × 41 × 385 ) / 1

LCM(13,41,385) = 205205 / 1

LCM(13,41,385) = 205205

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FAQs on GCF of Fractions of 59/13, 91/41, 552/385

1. What is the HCF of 59,91,552?

The HCF of 59,91,552 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 59/13, 91/41, 552/385?

Answer: GCF of Numerators as per given numbers 59/13, 91/41, 552/385 is

GCF of Numerators i.e. for 59,91,552 is 1

LCM of denominators i.e. for 13,41,385 is 205205.

Thus, GCF of Fractions is 1/205205.Finally, GCF of Fractions for 59/13, 91/41, 552/385 is 1/205205.