Greatest Common Factor of 5692/45, 1245/607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5692/45, 1245/607

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 5692/45,1245/607

Given fractions are 5692/45,1245/607

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 5692,1245

Greatest Common Factor of Numerators i.e. GCF of 5692,1245 is 1 .

LCM of Denominators means LCM of 45,607 as per the given fractions.

LCM of 45,607 is 27315 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5692,1245

GCF of Fractions 5692/45,1245/607 is 1/27315

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

Greatest Common Factor of 5692,1245 By Matching Biggest Common Factor Method

Greatest Common Factor of 5692,1245 By Matching Biggest Common Factor Method

Factors of 5692

List of positive integer factors of 5692 that divides 5692 without a remainder.

1,2,4,1423,2846,5692

Factors of 1245

List of positive integer factors of 1245 that divides 1245 without a remainder.

1,3,5,15,83,249,415,1245

Greatest Common Factor

We found the factors 5692,1245 . The biggest common factor number is the GCF number.
So the greatest common factor 5692,1245 is 1.

Lets's calculate LCM of 45,607

Given numbers has no common factors except 1. So, there LCM is their product i.e 27315

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27315

Therefore, the GCF of Fractions 5692/45,1245/607 is 1/27315

Least Common Multiple of 45,607 with GCF Formula

Least Common Multiple of 45,607 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 45,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,607) = 1

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

GCF(45,607) x common factors =1 x 1 = 1

LCM(45,607) = ( 45 × 607 ) / 1

LCM(45,607) = 27315 / 1

LCM(45,607) = 27315


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 5692/45, 1245/607

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 5692/45, 1245/607?

Answer: GCF of Numerators as per given numbers 5692/45, 1245/607 is

GCF of Numerators i.e. for 5692,1245 is 1

LCM of denominators i.e. for 45,607 is 27315.

Thus, GCF of Fractions is 1/27315.Finally, GCF of Fractions for 5692/45, 1245/607 is 1/27315.