Greatest Common Factor of 160/69, 308/1470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 160/69, 308/1470

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 160/69,308/1470

Given fractions are 160/69,308/1470

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 160,308

Greatest Common Factor of Numerators i.e. GCF of 160,308 is 4 .

LCM of Denominators means LCM of 69,1470 as per the given fractions.

LCM of 69,1470 is 33810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 160,308

GCF of Fractions 160/69,308/1470 is 4/33810

2 160, 308
2 80, 154
40, 77

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 160,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,308 By Matching Biggest Common Factor Method

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 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 160,308 . The biggest common factor number is the GCF number.
So the greatest common factor 160,308 is 4.

Lets's calculate LCM of 69,1470

3 69, 1470
23, 490

∴ So the LCM of the given numbers is 3 x 23 x 490 = 33810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/33810

Therefore, the GCF of Fractions 160/69,308/1470 is 4/33810

Least Common Multiple of 69,1470 with GCF Formula

Least Common Multiple of 69,1470 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 69,1470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,1470) = 3

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

GCF(69,1470) x common factors =3 x 1 = 3

LCM(69,1470) = ( 69 × 1470 ) / 3

LCM(69,1470) = 101430 / 3

LCM(69,1470) = 33810


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 160/69, 308/1470

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 160/69, 308/1470?

Answer: GCF of Numerators as per given numbers 160/69, 308/1470 is

GCF of Numerators i.e. for 160,308 is 4

LCM of denominators i.e. for 69,1470 is 33810.

Thus, GCF of Fractions is 4/33810.Finally, GCF of Fractions for 160/69, 308/1470 is 4/33810.