Greatest Common Factor of 310/64, 5669/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 310/64, 5669/900

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 310/64,5669/900

Given fractions are 310/64,5669/900

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 310,5669

Greatest Common Factor of Numerators i.e. GCF of 310,5669 is 1 .

LCM of Denominators means LCM of 64,900 as per the given fractions.

LCM of 64,900 is 14400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 310,5669

GCF of Fractions 310/64,5669/900 is 1/14400

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

Greatest Common Factor of 310,5669 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,5669 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 5669

List of positive integer factors of 5669 that divides 5669 without a remainder.

1,5669

Greatest Common Factor

We found the factors 310,5669 . The biggest common factor number is the GCF number.
So the greatest common factor 310,5669 is 1.

Lets's calculate LCM of 64,900

2 64, 900
2 32, 450
16, 225

∴ So the LCM of the given numbers is 2 x 2 x 16 x 225 = 14400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14400

Therefore, the GCF of Fractions 310/64,5669/900 is 1/14400

Least Common Multiple of 64,900 with GCF Formula

Least Common Multiple of 64,900 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 64,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,900) = 4

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

GCF(64,900) x common factors =4 x 1 = 4

LCM(64,900) = ( 64 × 900 ) / 4

LCM(64,900) = 57600 / 4

LCM(64,900) = 14400


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 310/64, 5669/900

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 310/64, 5669/900?

Answer: GCF of Numerators as per given numbers 310/64, 5669/900 is

GCF of Numerators i.e. for 310,5669 is 1

LCM of denominators i.e. for 64,900 is 14400.

Thus, GCF of Fractions is 1/14400.Finally, GCF of Fractions for 310/64, 5669/900 is 1/14400.