Greatest Common Factor of 969/248, 160/586, 514/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 969/248, 160/586, 514/153

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 969/248,160/586,514/153

Given fractions are 969/248,160/586,514/153

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 969,160,514

Greatest Common Factor of Numerators i.e. GCF of 969,160,514 is 1 .

LCM of Denominators means LCM of 248,586,153 as per the given fractions.

LCM of 248,586,153 is 11117592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 969,160,514

GCF of Fractions 969/248,160/586,514/153 is 1/11117592

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

Greatest Common Factor of 969,160,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,160,514 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 969,160,514 . The biggest common factor number is the GCF number.
So the greatest common factor 969,160,514 is 1.

Lets's calculate LCM of 248,586,153

2 248, 586, 153
124, 293, 153

∴ So the LCM of the given numbers is 2 x 124 x 293 x 153 = 11117592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11117592

Therefore, the GCF of Fractions 969/248,160/586,514/153 is 1/11117592

Least Common Multiple of 248,586,153 with GCF Formula

Least Common Multiple of 248,586,153 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 248,586,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,586,153) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(248,586,153) x common factors =1 x 2 = 2

LCM(248,586,153) = ( 248 × 586 × 153 ) / 2

LCM(248,586,153) = 22235184 / 2

LCM(248,586,153) = 11117592


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 969/248, 160/586, 514/153

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 969/248, 160/586, 514/153?

Answer: GCF of Numerators as per given numbers 969/248, 160/586, 514/153 is

GCF of Numerators i.e. for 969,160,514 is 1

LCM of denominators i.e. for 248,586,153 is 11117592.

Thus, GCF of Fractions is 1/11117592.Finally, GCF of Fractions for 969/248, 160/586, 514/153 is 1/11117592.