Greatest Common Factor of 5497/692, 2290/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5497/692, 2290/835

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 5497/692,2290/835

Given fractions are 5497/692,2290/835

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 5497,2290

Greatest Common Factor of Numerators i.e. GCF of 5497,2290 is 1 .

LCM of Denominators means LCM of 692,835 as per the given fractions.

LCM of 692,835 is 577820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5497,2290

GCF of Fractions 5497/692,2290/835 is 1/577820

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

Greatest Common Factor of 5497,2290 By Matching Biggest Common Factor Method

Greatest Common Factor of 5497,2290 By Matching Biggest Common Factor Method

Factors of 5497

List of positive integer factors of 5497 that divides 5497 without a remainder.

1,23,239,5497

Factors of 2290

List of positive integer factors of 2290 that divides 2290 without a remainder.

1,2,5,10,229,458,1145,2290

Greatest Common Factor

We found the factors 5497,2290 . The biggest common factor number is the GCF number.
So the greatest common factor 5497,2290 is 1.

Lets's calculate LCM of 692,835

Given numbers has no common factors except 1. So, there LCM is their product i.e 577820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/577820

Therefore, the GCF of Fractions 5497/692,2290/835 is 1/577820

Least Common Multiple of 692,835 with GCF Formula

Least Common Multiple of 692,835 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 692,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,835) = 1

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

GCF(692,835) x common factors =1 x 1 = 1

LCM(692,835) = ( 692 × 835 ) / 1

LCM(692,835) = 577820 / 1

LCM(692,835) = 577820


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 5497/692, 2290/835

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 5497/692, 2290/835?

Answer: GCF of Numerators as per given numbers 5497/692, 2290/835 is

GCF of Numerators i.e. for 5497,2290 is 1

LCM of denominators i.e. for 692,835 is 577820.

Thus, GCF of Fractions is 1/577820.Finally, GCF of Fractions for 5497/692, 2290/835 is 1/577820.