Greatest Common Factor of 922/27, 345/53, 525/83

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 922/27, 345/53, 525/83

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 922/27,345/53,525/83

Given fractions are 922/27,345/53,525/83

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 922,345,525

Greatest Common Factor of Numerators i.e. GCF of 922,345,525 is 1 .

LCM of Denominators means LCM of 27,53,83 as per the given fractions.

LCM of 27,53,83 is 118773 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 922,345,525

GCF of Fractions 922/27,345/53,525/83 is 1/118773

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

Greatest Common Factor of 922,345,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 922,345,525 By Matching Biggest Common Factor Method

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 922,345,525 . The biggest common factor number is the GCF number.
So the greatest common factor 922,345,525 is 1.

Lets's calculate LCM of 27,53,83

Given numbers has no common factors except 1. So, there LCM is their product i.e 118773

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118773

Therefore, the GCF of Fractions 922/27,345/53,525/83 is 1/118773

Least Common Multiple of 27,53,83 with GCF Formula

Least Common Multiple of 27,53,83 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 27,53,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,53,83) = 1

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

GCF(27,53,83) x common factors =1 x 1 = 1

LCM(27,53,83) = ( 27 × 53 × 83 ) / 1

LCM(27,53,83) = 118773 / 1

LCM(27,53,83) = 118773


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 922/27, 345/53, 525/83

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 922/27, 345/53, 525/83?

Answer: GCF of Numerators as per given numbers 922/27, 345/53, 525/83 is

GCF of Numerators i.e. for 922,345,525 is 1

LCM of denominators i.e. for 27,53,83 is 118773.

Thus, GCF of Fractions is 1/118773.Finally, GCF of Fractions for 922/27, 345/53, 525/83 is 1/118773.