Greatest Common Factor of 692/75, 960/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 692/75, 960/822

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 692/75,960/822

Given fractions are 692/75,960/822

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 692,960

Greatest Common Factor of Numerators i.e. GCF of 692,960 is 4 .

LCM of Denominators means LCM of 75,822 as per the given fractions.

LCM of 75,822 is 20550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 692,960

GCF of Fractions 692/75,960/822 is 4/20550

2 692, 960
2 346, 480
173, 240

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

Greatest Common Factor of 692,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,960 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 692,960 . The biggest common factor number is the GCF number.
So the greatest common factor 692,960 is 4.

Lets's calculate LCM of 75,822

3 75, 822
25, 274

∴ So the LCM of the given numbers is 3 x 25 x 274 = 20550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/20550

Therefore, the GCF of Fractions 692/75,960/822 is 4/20550

Least Common Multiple of 75,822 with GCF Formula

Least Common Multiple of 75,822 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 75,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,822) = 3

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

GCF(75,822) x common factors =3 x 1 = 3

LCM(75,822) = ( 75 × 822 ) / 3

LCM(75,822) = 61650 / 3

LCM(75,822) = 20550


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 692/75, 960/822

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 692/75, 960/822?

Answer: GCF of Numerators as per given numbers 692/75, 960/822 is

GCF of Numerators i.e. for 692,960 is 4

LCM of denominators i.e. for 75,822 is 20550.

Thus, GCF of Fractions is 4/20550.Finally, GCF of Fractions for 692/75, 960/822 is 4/20550.