Greatest Common Factor of 6/49, 65/12, 16/448, 185/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/49, 65/12, 16/448, 185/677

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 6/49,65/12,16/448,185/677

Given fractions are 6/49,65/12,16/448,185/677

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 6,65,16,185

Greatest Common Factor of Numerators i.e. GCF of 6,65,16,185 is 1 .

LCM of Denominators means LCM of 49,12,448,677 as per the given fractions.

LCM of 49,12,448,677 is 6369216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,65,16,185

GCF of Fractions 6/49,65/12,16/448,185/677 is 1/6369216

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

Greatest Common Factor of 6,65,16,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,65,16,185 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 6,65,16,185 . The biggest common factor number is the GCF number.
So the greatest common factor 6,65,16,185 is 1.

Lets's calculate LCM of 49,12,448,677

2 49, 12, 448, 677
2 49, 6, 224, 677
7 49, 3, 112, 677
7, 3, 16, 677

∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 3 x 16 x 677 = 6369216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6369216

Therefore, the GCF of Fractions 6/49,65/12,16/448,185/677 is 1/6369216

Least Common Multiple of 49,12,448,677 with GCF Formula

Least Common Multiple of 49,12,448,677 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 49,12,448,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,12,448,677) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(49,12,448,677) x common factors =1 x 28 = 28

LCM(49,12,448,677) = ( 49 × 12 × 448 × 677 ) / 28

LCM(49,12,448,677) = 178338048 / 28

LCM(49,12,448,677) = 6369216


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 6/49, 65/12, 16/448, 185/677

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 6/49, 65/12, 16/448, 185/677?

Answer: GCF of Numerators as per given numbers 6/49, 65/12, 16/448, 185/677 is

GCF of Numerators i.e. for 6,65,16,185 is 1

LCM of denominators i.e. for 49,12,448,677 is 6369216.

Thus, GCF of Fractions is 1/6369216.Finally, GCF of Fractions for 6/49, 65/12, 16/448, 185/677 is 1/6369216.