How to Find GCF of 13/411, 142/320, 358/344?

GCF of 13/411, 142/320, 358/344

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 13/411, 142/320, 358/344 i.e 1/5655360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/411, 142/320, 358/344.

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 13/411,142/320,358/344?

Given fractions are 13/411,142/320,358/344

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 13/411,142/320,358/344, numerators are 13,142,358

Denominators are 411,320,344

The GCF of 13,142,358 is 1 .

LCM of 411,320,344 is 5655360.

The greatest common factor of 13/411,142/320,358/344 = [GCF of 13,142,358]/[LCM of 411,320,344]= 1/5655360

Therefore, the GCF of 13/411,142/320,358/344 is 1/5655360.

Greatest Common Factor of 13,142,358

To find the highest common factor of 13,142,358, 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 142 are 1, 2, 71, 142

The factors of 358 are 1, 2, 179, 358

The HCF of 13,142,358 is 1.

Lets's calculate GCF of 13,142,358

Greatest Common Factor (GCF) of 13,142,358 By Common Division

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

Greatest Common Factor of 13,142,358 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 142

1,2,71,142

Now, list down the factors of 358

1,2,179,358

Greatest Common Factor

We found the factors 13,142,358 . The biggest common factor number is the GCF number.
So the greatest common factor 13,142,358 is 1.

Lets's calculate LCM of 411,320,344

Lowest Common Multiple of 411,320,344 using Common Division

2	411, 320, 344
2	411, 160, 172
2	411, 80, 86
	411, 40, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 411 x 40 x 43 = 5655360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5655360

Therefore, the GCF of Fractions 13/411,142/320,358/344 is 1/5655360

Least Common Multiple of 411,320,344 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 411,320,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(411,320,344) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(411,320,344) x common factors =1 x 8 = 8

LCM(411,320,344) = ( 411 × 320 × 344 ) / 8

LCM(411,320,344) = 45242880 / 8

LCM(411,320,344) = 5655360

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FAQs on GCF of Fractions of 13/411, 142/320, 358/344

1. What is the HCF of 13,142,358?

The HCF of 13,142,358 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 13/411, 142/320, 358/344?

Answer: GCF of Numerators as per given numbers 13/411, 142/320, 358/344 is

GCF of Numerators i.e. for 13,142,358 is 1

LCM of denominators i.e. for 411,320,344 is 5655360.

Thus, GCF of Fractions is 1/5655360.Finally, GCF of Fractions for 13/411, 142/320, 358/344 is 1/5655360.