How to Find GCF of 13/77, 298/36, 188/629?

GCF of 13/77, 298/36, 188/629

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 13/77, 298/36, 188/629 i.e 1/1743588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/77, 298/36, 188/629.

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 13/77,298/36,188/629?

Given fractions are 13/77,298/36,188/629

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 13/77,298/36,188/629, numerators are 13,298,188

Denominators are 77,36,629

The GCF of 13,298,188 is 1 .

LCM of 77,36,629 is 1743588.

The greatest common factor of 13/77,298/36,188/629 = [GCF of 13,298,188]/[LCM of 77,36,629]= 1/1743588

Therefore, the GCF of 13/77,298/36,188/629 is 1/1743588.

Greatest Common Factor of 13,298,188

To find the highest common factor of 13,298,188, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 298 are 1, 2, 149, 298

The factors of 188 are 1, 2, 4, 47, 94, 188

The HCF of 13,298,188 is 1.

Lets's calculate GCF of 13,298,188

Greatest Common Factor (GCF) of 13,298,188 By Common Division

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

Greatest Common Factor of 13,298,188 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 298

1,2,149,298

Now, list down the factors of 188

1,2,4,47,94,188

Greatest Common Factor

We found the factors 13,298,188 . The biggest common factor number is the GCF number.
So the greatest common factor 13,298,188 is 1.

Lets's calculate LCM of 77,36,629

Lowest Common Multiple of 77,36,629 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1743588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1743588

Therefore, the GCF of Fractions 13/77,298/36,188/629 is 1/1743588

Least Common Multiple of 77,36,629 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 77,36,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,36,629) = 1

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

GCF(77,36,629) x common factors =1 x 1 = 1

LCM(77,36,629) = ( 77 × 36 × 629 ) / 1

LCM(77,36,629) = 1743588 / 1

LCM(77,36,629) = 1743588

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 13/77, 298/36, 188/629

1. What is the HCF of 13,298,188?

The HCF of 13,298,188 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 13/77, 298/36, 188/629?

Answer: GCF of Numerators as per given numbers 13/77, 298/36, 188/629 is

GCF of Numerators i.e. for 13,298,188 is 1

LCM of denominators i.e. for 77,36,629 is 1743588.

Thus, GCF of Fractions is 1/1743588.Finally, GCF of Fractions for 13/77, 298/36, 188/629 is 1/1743588.