Greatest Common Factor of 4/14, 58/59, 91/814, 659/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/14, 58/59, 91/814, 659/511

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 4/14,58/59,91/814,659/511

Given fractions are 4/14,58/59,91/814,659/511

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 4,58,91,659

Greatest Common Factor of Numerators i.e. GCF of 4,58,91,659 is 1 .

LCM of Denominators means LCM of 14,59,814,511 as per the given fractions.

LCM of 14,59,814,511 is 24541286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,58,91,659

GCF of Fractions 4/14,58/59,91/814,659/511 is 1/24541286

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

Greatest Common Factor of 4,58,91,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,58,91,659 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 58

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

1,2,29,58

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 4,58,91,659 . The biggest common factor number is the GCF number.
So the greatest common factor 4,58,91,659 is 1.

Lets's calculate LCM of 14,59,814,511

2 14, 59, 814, 511
7 7, 59, 407, 511
1, 59, 407, 73

∴ So the LCM of the given numbers is 2 x 7 x 1 x 59 x 407 x 73 = 24541286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24541286

Therefore, the GCF of Fractions 4/14,58/59,91/814,659/511 is 1/24541286

Least Common Multiple of 14,59,814,511 with GCF Formula

Least Common Multiple of 14,59,814,511 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 14,59,814,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,59,814,511) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(14,59,814,511) x common factors =1 x 14 = 14

LCM(14,59,814,511) = ( 14 × 59 × 814 × 511 ) / 14

LCM(14,59,814,511) = 343578004 / 14

LCM(14,59,814,511) = 24541286


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 4/14, 58/59, 91/814, 659/511

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 4/14, 58/59, 91/814, 659/511?

Answer: GCF of Numerators as per given numbers 4/14, 58/59, 91/814, 659/511 is

GCF of Numerators i.e. for 4,58,91,659 is 1

LCM of denominators i.e. for 14,59,814,511 is 24541286.

Thus, GCF of Fractions is 1/24541286.Finally, GCF of Fractions for 4/14, 58/59, 91/814, 659/511 is 1/24541286.