Greatest Common Factor of 7578/364, 1730/9842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7578/364, 1730/9842

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 7578/364,1730/9842

Given fractions are 7578/364,1730/9842

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 7578,1730

Greatest Common Factor of Numerators i.e. GCF of 7578,1730 is 2 .

LCM of Denominators means LCM of 364,9842 as per the given fractions.

LCM of 364,9842 is 255892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7578,1730

GCF of Fractions 7578/364,1730/9842 is 2/255892

2 7578, 1730
3789, 865

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

Greatest Common Factor of 7578,1730 By Matching Biggest Common Factor Method

Greatest Common Factor of 7578,1730 By Matching Biggest Common Factor Method

Factors of 7578

List of positive integer factors of 7578 that divides 7578 without a remainder.

1,2,3,6,9,18,421,842,1263,2526,3789,7578

Factors of 1730

List of positive integer factors of 1730 that divides 1730 without a remainder.

1,2,5,10,173,346,865,1730

Greatest Common Factor

We found the factors 7578,1730 . The biggest common factor number is the GCF number.
So the greatest common factor 7578,1730 is 2.

Lets's calculate LCM of 364,9842

2 364, 9842
7 182, 4921
26, 703

∴ So the LCM of the given numbers is 2 x 7 x 26 x 703 = 255892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/255892

Therefore, the GCF of Fractions 7578/364,1730/9842 is 2/255892

Least Common Multiple of 364,9842 with GCF Formula

Least Common Multiple of 364,9842 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 364,9842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,9842) = 14

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

GCF(364,9842) x common factors =14 x 1 = 14

LCM(364,9842) = ( 364 × 9842 ) / 14

LCM(364,9842) = 3582488 / 14

LCM(364,9842) = 255892


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 7578/364, 1730/9842

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 7578/364, 1730/9842?

Answer: GCF of Numerators as per given numbers 7578/364, 1730/9842 is

GCF of Numerators i.e. for 7578,1730 is 2

LCM of denominators i.e. for 364,9842 is 255892.

Thus, GCF of Fractions is 2/255892.Finally, GCF of Fractions for 7578/364, 1730/9842 is 2/255892.