Greatest Common Factor of 388/67, 162/59, 614/87

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 388/67, 162/59, 614/87

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 388/67,162/59,614/87

Given fractions are 388/67,162/59,614/87

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 388,162,614

Greatest Common Factor of Numerators i.e. GCF of 388,162,614 is 2 .

LCM of Denominators means LCM of 67,59,87 as per the given fractions.

LCM of 67,59,87 is 343911 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 388,162,614

GCF of Fractions 388/67,162/59,614/87 is 2/343911

2 388, 162, 614
194, 81, 307

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 388,162,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,162,614 By Matching Biggest Common Factor Method

Factors of 388

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

1,2,4,97,194,388

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 388,162,614 . The biggest common factor number is the GCF number.
So the greatest common factor 388,162,614 is 2.

Lets's calculate LCM of 67,59,87

Given numbers has no common factors except 1. So, there LCM is their product i.e 343911

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/343911

Therefore, the GCF of Fractions 388/67,162/59,614/87 is 2/343911

Least Common Multiple of 67,59,87 with GCF Formula

Least Common Multiple of 67,59,87 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 67,59,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,59,87) = 1

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

GCF(67,59,87) x common factors =1 x 1 = 1

LCM(67,59,87) = ( 67 × 59 × 87 ) / 1

LCM(67,59,87) = 343911 / 1

LCM(67,59,87) = 343911


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 388/67, 162/59, 614/87

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 388/67, 162/59, 614/87?

Answer: GCF of Numerators as per given numbers 388/67, 162/59, 614/87 is

GCF of Numerators i.e. for 388,162,614 is 2

LCM of denominators i.e. for 67,59,87 is 343911.

Thus, GCF of Fractions is 2/343911.Finally, GCF of Fractions for 388/67, 162/59, 614/87 is 2/343911.