Greatest Common Factor of 5842/156, 1775/7005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5842/156, 1775/7005

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 5842/156,1775/7005

Given fractions are 5842/156,1775/7005

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 5842,1775

Greatest Common Factor of Numerators i.e. GCF of 5842,1775 is 1 .

LCM of Denominators means LCM of 156,7005 as per the given fractions.

LCM of 156,7005 is 364260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5842,1775

GCF of Fractions 5842/156,1775/7005 is 1/364260

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

Greatest Common Factor of 5842,1775 By Matching Biggest Common Factor Method

Greatest Common Factor of 5842,1775 By Matching Biggest Common Factor Method

Factors of 5842

List of positive integer factors of 5842 that divides 5842 without a remainder.

1,2,23,46,127,254,2921,5842

Factors of 1775

List of positive integer factors of 1775 that divides 1775 without a remainder.

1,5,25,71,355,1775

Greatest Common Factor

We found the factors 5842,1775 . The biggest common factor number is the GCF number.
So the greatest common factor 5842,1775 is 1.

Lets's calculate LCM of 156,7005

3 156, 7005
52, 2335

∴ So the LCM of the given numbers is 3 x 52 x 2335 = 364260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/364260

Therefore, the GCF of Fractions 5842/156,1775/7005 is 1/364260

Least Common Multiple of 156,7005 with GCF Formula

Least Common Multiple of 156,7005 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 156,7005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,7005) = 3

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

GCF(156,7005) x common factors =3 x 1 = 3

LCM(156,7005) = ( 156 × 7005 ) / 3

LCM(156,7005) = 1092780 / 3

LCM(156,7005) = 364260


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 5842/156, 1775/7005

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 5842/156, 1775/7005?

Answer: GCF of Numerators as per given numbers 5842/156, 1775/7005 is

GCF of Numerators i.e. for 5842,1775 is 1

LCM of denominators i.e. for 156,7005 is 364260.

Thus, GCF of Fractions is 1/364260.Finally, GCF of Fractions for 5842/156, 1775/7005 is 1/364260.