Greatest Common Factor of 7680/285, 1616/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7680/285, 1616/774

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 7680/285,1616/774

Given fractions are 7680/285,1616/774

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 7680,1616

Greatest Common Factor of Numerators i.e. GCF of 7680,1616 is 16 .

LCM of Denominators means LCM of 285,774 as per the given fractions.

LCM of 285,774 is 73530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7680,1616

GCF of Fractions 7680/285,1616/774 is 16/73530

2 7680, 1616
2 3840, 808
2 1920, 404
2 960, 202
480, 101

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 7680,1616 By Matching Biggest Common Factor Method

Greatest Common Factor of 7680,1616 By Matching Biggest Common Factor Method

Factors of 7680

List of positive integer factors of 7680 that divides 7680 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,512,640,768,960,1280,1536,1920,2560,3840,7680

Factors of 1616

List of positive integer factors of 1616 that divides 1616 without a remainder.

1,2,4,8,16,101,202,404,808,1616

Greatest Common Factor

We found the factors 7680,1616 . The biggest common factor number is the GCF number.
So the greatest common factor 7680,1616 is 16.

Lets's calculate LCM of 285,774

3 285, 774
95, 258

∴ So the LCM of the given numbers is 3 x 95 x 258 = 73530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/73530

Therefore, the GCF of Fractions 7680/285,1616/774 is 16/73530

Least Common Multiple of 285,774 with GCF Formula

Least Common Multiple of 285,774 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 285,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,774) = 3

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

GCF(285,774) x common factors =3 x 1 = 3

LCM(285,774) = ( 285 × 774 ) / 3

LCM(285,774) = 220590 / 3

LCM(285,774) = 73530


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 7680/285, 1616/774

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 7680/285, 1616/774?

Answer: GCF of Numerators as per given numbers 7680/285, 1616/774 is

GCF of Numerators i.e. for 7680,1616 is 16

LCM of denominators i.e. for 285,774 is 73530.

Thus, GCF of Fractions is 16/73530.Finally, GCF of Fractions for 7680/285, 1616/774 is 16/73530.