Greatest Common Factor of 9/51, 14/58, 83/569, 208/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/51, 14/58, 83/569, 208/275

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 9/51,14/58,83/569,208/275

Given fractions are 9/51,14/58,83/569,208/275

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 9,14,83,208

Greatest Common Factor of Numerators i.e. GCF of 9,14,83,208 is 1 .

LCM of Denominators means LCM of 51,58,569,275 as per the given fractions.

LCM of 51,58,569,275 is 462853050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,14,83,208

GCF of Fractions 9/51,14/58,83/569,208/275 is 1/462853050

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

Greatest Common Factor of 9,14,83,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,14,83,208 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 9,14,83,208 . The biggest common factor number is the GCF number.
So the greatest common factor 9,14,83,208 is 1.

Lets's calculate LCM of 51,58,569,275

Given numbers has no common factors except 1. So, there LCM is their product i.e 462853050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462853050

Therefore, the GCF of Fractions 9/51,14/58,83/569,208/275 is 1/462853050

Least Common Multiple of 51,58,569,275 with GCF Formula

Least Common Multiple of 51,58,569,275 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 51,58,569,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,58,569,275) = 1

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

GCF(51,58,569,275) x common factors =1 x 1 = 1

LCM(51,58,569,275) = ( 51 × 58 × 569 × 275 ) / 1

LCM(51,58,569,275) = 462853050 / 1

LCM(51,58,569,275) = 462853050


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 9/51, 14/58, 83/569, 208/275

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 9/51, 14/58, 83/569, 208/275?

Answer: GCF of Numerators as per given numbers 9/51, 14/58, 83/569, 208/275 is

GCF of Numerators i.e. for 9,14,83,208 is 1

LCM of denominators i.e. for 51,58,569,275 is 462853050.

Thus, GCF of Fractions is 1/462853050.Finally, GCF of Fractions for 9/51, 14/58, 83/569, 208/275 is 1/462853050.