Greatest Common Factor of 69/62, 47/13, 99/53, 31/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/62, 47/13, 99/53, 31/287

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 69/62,47/13,99/53,31/287

Given fractions are 69/62,47/13,99/53,31/287

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 69,47,99,31

Greatest Common Factor of Numerators i.e. GCF of 69,47,99,31 is 1 .

LCM of Denominators means LCM of 62,13,53,287 as per the given fractions.

LCM of 62,13,53,287 is 12260066 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,47,99,31

GCF of Fractions 69/62,47/13,99/53,31/287 is 1/12260066

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

Greatest Common Factor of 69,47,99,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,47,99,31 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 69,47,99,31 . The biggest common factor number is the GCF number.
So the greatest common factor 69,47,99,31 is 1.

Lets's calculate LCM of 62,13,53,287

Given numbers has no common factors except 1. So, there LCM is their product i.e 12260066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12260066

Therefore, the GCF of Fractions 69/62,47/13,99/53,31/287 is 1/12260066

Least Common Multiple of 62,13,53,287 with GCF Formula

Least Common Multiple of 62,13,53,287 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 62,13,53,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,13,53,287) = 1

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

GCF(62,13,53,287) x common factors =1 x 1 = 1

LCM(62,13,53,287) = ( 62 × 13 × 53 × 287 ) / 1

LCM(62,13,53,287) = 12260066 / 1

LCM(62,13,53,287) = 12260066


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 69/62, 47/13, 99/53, 31/287

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 69/62, 47/13, 99/53, 31/287?

Answer: GCF of Numerators as per given numbers 69/62, 47/13, 99/53, 31/287 is

GCF of Numerators i.e. for 69,47,99,31 is 1

LCM of denominators i.e. for 62,13,53,287 is 12260066.

Thus, GCF of Fractions is 1/12260066.Finally, GCF of Fractions for 69/62, 47/13, 99/53, 31/287 is 1/12260066.