Greatest Common Factor of 347/78, 388/82, 465/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 347/78, 388/82, 465/407

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 347/78,388/82,465/407

Given fractions are 347/78,388/82,465/407

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 347,388,465

Greatest Common Factor of Numerators i.e. GCF of 347,388,465 is 1 .

LCM of Denominators means LCM of 78,82,407 as per the given fractions.

LCM of 78,82,407 is 1301586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 347,388,465

GCF of Fractions 347/78,388/82,465/407 is 1/1301586

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

Greatest Common Factor of 347,388,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,388,465 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 347,388,465 . The biggest common factor number is the GCF number.
So the greatest common factor 347,388,465 is 1.

Lets's calculate LCM of 78,82,407

2 78, 82, 407
39, 41, 407

∴ So the LCM of the given numbers is 2 x 39 x 41 x 407 = 1301586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1301586

Therefore, the GCF of Fractions 347/78,388/82,465/407 is 1/1301586

Least Common Multiple of 78,82,407 with GCF Formula

Least Common Multiple of 78,82,407 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 78,82,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,82,407) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,82,407) x common factors =1 x 2 = 2

LCM(78,82,407) = ( 78 × 82 × 407 ) / 2

LCM(78,82,407) = 2603172 / 2

LCM(78,82,407) = 1301586


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 347/78, 388/82, 465/407

1. 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.

2. What is the GCF of Fractions for 347/78, 388/82, 465/407?

Answer: GCF of Numerators as per given numbers 347/78, 388/82, 465/407 is

GCF of Numerators i.e. for 347,388,465 is 1

LCM of denominators i.e. for 78,82,407 is 1301586.

Thus, GCF of Fractions is 1/1301586.Finally, GCF of Fractions for 347/78, 388/82, 465/407 is 1/1301586.