Greatest Common Factor of 58/64, 12/14, 798/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/64, 12/14, 798/64

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 58/64,12/14,798/64

Given fractions are 58/64,12/14,798/64

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 58,12,798

Greatest Common Factor of Numerators i.e. GCF of 58,12,798 is 2 .

LCM of Denominators means LCM of 64,14,64 as per the given fractions.

LCM of 64,14,64 is 448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,12,798

GCF of Fractions 58/64,12/14,798/64 is 2/448

2 58, 12, 798
29, 6, 399

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

Greatest Common Factor of 58,12,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,12,798 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 58,12,798 . The biggest common factor number is the GCF number.
So the greatest common factor 58,12,798 is 2.

Lets's calculate LCM of 64,14,64

2 64, 14, 64
2 32, 7, 32
2 16, 7, 16
2 8, 7, 8
2 4, 7, 4
2 2, 7, 2
1, 7, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 1 x 7 x 1 = 448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/448

Therefore, the GCF of Fractions 58/64,12/14,798/64 is 2/448

Least Common Multiple of 64,14,64 with GCF Formula

Least Common Multiple of 64,14,64 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 64,14,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,14,64) = 2

common factors(in case of two or more numbers have common factors) = 64

GCF(64,14,64) x common factors =2 x 64 = 128

LCM(64,14,64) = ( 64 × 14 × 64 ) / 128

LCM(64,14,64) = 57344 / 128

LCM(64,14,64) = 448


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 58/64, 12/14, 798/64

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 58/64, 12/14, 798/64?

Answer: GCF of Numerators as per given numbers 58/64, 12/14, 798/64 is

GCF of Numerators i.e. for 58,12,798 is 2

LCM of denominators i.e. for 64,14,64 is 448.

Thus, GCF of Fractions is 2/448.Finally, GCF of Fractions for 58/64, 12/14, 798/64 is 2/448.