How to Find GCF of 13/301, 530/271, 407/694?

GCF of 13/301, 530/271, 407/694

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 13/301, 530/271, 407/694 i.e 1/56610274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/301, 530/271, 407/694.

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 13/301,530/271,407/694?

Given fractions are 13/301,530/271,407/694

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 13/301,530/271,407/694, numerators are 13,530,407

Denominators are 301,271,694

The GCF of 13,530,407 is 1 .

LCM of 301,271,694 is 56610274.

The greatest common factor of 13/301,530/271,407/694 = [GCF of 13,530,407]/[LCM of 301,271,694]= 1/56610274

Therefore, the GCF of 13/301,530/271,407/694 is 1/56610274.

Greatest Common Factor of 13,530,407

To find the highest common factor of 13,530,407, 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 530 are 1, 2, 5, 10, 53, 106, 265, 530

The factors of 407 are 1, 11, 37, 407

The HCF of 13,530,407 is 1.

Lets's calculate GCF of 13,530,407

Greatest Common Factor (GCF) of 13,530,407 By Common Division

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

Greatest Common Factor of 13,530,407 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 530

1,2,5,10,53,106,265,530

Now, list down the factors of 407

1,11,37,407

Greatest Common Factor

We found the factors 13,530,407 . The biggest common factor number is the GCF number.
So the greatest common factor 13,530,407 is 1.

Lets's calculate LCM of 301,271,694

Lowest Common Multiple of 301,271,694 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 56610274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56610274

Therefore, the GCF of Fractions 13/301,530/271,407/694 is 1/56610274

Least Common Multiple of 301,271,694 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 301,271,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,271,694) = 1

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

GCF(301,271,694) x common factors =1 x 1 = 1

LCM(301,271,694) = ( 301 × 271 × 694 ) / 1

LCM(301,271,694) = 56610274 / 1

LCM(301,271,694) = 56610274

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FAQs on GCF of Fractions of 13/301, 530/271, 407/694

1. What is the HCF of 13,530,407?

The HCF of 13,530,407 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 13/301, 530/271, 407/694?

Answer: GCF of Numerators as per given numbers 13/301, 530/271, 407/694 is

GCF of Numerators i.e. for 13,530,407 is 1

LCM of denominators i.e. for 301,271,694 is 56610274.

Thus, GCF of Fractions is 1/56610274.Finally, GCF of Fractions for 13/301, 530/271, 407/694 is 1/56610274.