Greatest Common Factor of 692/4431, 768/9533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 692/4431, 768/9533

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 692/4431,768/9533

Given fractions are 692/4431,768/9533

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 692,768

Greatest Common Factor of Numerators i.e. GCF of 692,768 is 4 .

LCM of Denominators means LCM of 4431,9533 as per the given fractions.

LCM of 4431,9533 is 42240723 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 692,768

GCF of Fractions 692/4431,768/9533 is 4/42240723

2 692, 768
2 346, 384
173, 192

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

Greatest Common Factor of 692,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,768 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 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 692,768 . The biggest common factor number is the GCF number.
So the greatest common factor 692,768 is 4.

Lets's calculate LCM of 4431,9533

Given numbers has no common factors except 1. So, there LCM is their product i.e 42240723

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/42240723

Therefore, the GCF of Fractions 692/4431,768/9533 is 4/42240723

Least Common Multiple of 4431,9533 with GCF Formula

Least Common Multiple of 4431,9533 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 4431,9533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4431,9533) = 1

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

GCF(4431,9533) x common factors =1 x 1 = 1

LCM(4431,9533) = ( 4431 × 9533 ) / 1

LCM(4431,9533) = 42240723 / 1

LCM(4431,9533) = 42240723


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 692/4431, 768/9533

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 692/4431, 768/9533?

Answer: GCF of Numerators as per given numbers 692/4431, 768/9533 is

GCF of Numerators i.e. for 692,768 is 4

LCM of denominators i.e. for 4431,9533 is 42240723.

Thus, GCF of Fractions is 4/42240723.Finally, GCF of Fractions for 692/4431, 768/9533 is 4/42240723.