Greatest Common Factor of 314/82, 137/24, 485/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 314/82, 137/24, 485/594

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 314/82,137/24,485/594

Given fractions are 314/82,137/24,485/594

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 314,137,485

Greatest Common Factor of Numerators i.e. GCF of 314,137,485 is 1 .

LCM of Denominators means LCM of 82,24,594 as per the given fractions.

LCM of 82,24,594 is 97416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 314,137,485

GCF of Fractions 314/82,137/24,485/594 is 1/97416

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

Greatest Common Factor of 314,137,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,137,485 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 314,137,485 . The biggest common factor number is the GCF number.
So the greatest common factor 314,137,485 is 1.

Lets's calculate LCM of 82,24,594

2 82, 24, 594
3 41, 12, 297
41, 4, 99

∴ So the LCM of the given numbers is 2 x 3 x 41 x 4 x 99 = 97416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97416

Therefore, the GCF of Fractions 314/82,137/24,485/594 is 1/97416

Least Common Multiple of 82,24,594 with GCF Formula

Least Common Multiple of 82,24,594 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 82,24,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,24,594) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(82,24,594) x common factors =2 x 6 = 12

LCM(82,24,594) = ( 82 × 24 × 594 ) / 12

LCM(82,24,594) = 1168992 / 12

LCM(82,24,594) = 97416


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 314/82, 137/24, 485/594

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 314/82, 137/24, 485/594?

Answer: GCF of Numerators as per given numbers 314/82, 137/24, 485/594 is

GCF of Numerators i.e. for 314,137,485 is 1

LCM of denominators i.e. for 82,24,594 is 97416.

Thus, GCF of Fractions is 1/97416.Finally, GCF of Fractions for 314/82, 137/24, 485/594 is 1/97416.