Greatest Common Factor of 845/384, 1921/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 845/384, 1921/508

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 845/384,1921/508

Given fractions are 845/384,1921/508

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 845,1921

Greatest Common Factor of Numerators i.e. GCF of 845,1921 is 1 .

LCM of Denominators means LCM of 384,508 as per the given fractions.

LCM of 384,508 is 48768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 845,1921

GCF of Fractions 845/384,1921/508 is 1/48768

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

Greatest Common Factor of 845,1921 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,1921 By Matching Biggest Common Factor Method

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 1921

List of positive integer factors of 1921 that divides 1921 without a remainder.

1,17,113,1921

Greatest Common Factor

We found the factors 845,1921 . The biggest common factor number is the GCF number.
So the greatest common factor 845,1921 is 1.

Lets's calculate LCM of 384,508

2 384, 508
2 192, 254
96, 127

∴ So the LCM of the given numbers is 2 x 2 x 96 x 127 = 48768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48768

Therefore, the GCF of Fractions 845/384,1921/508 is 1/48768

Least Common Multiple of 384,508 with GCF Formula

Least Common Multiple of 384,508 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 384,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,508) = 4

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

GCF(384,508) x common factors =4 x 1 = 4

LCM(384,508) = ( 384 × 508 ) / 4

LCM(384,508) = 195072 / 4

LCM(384,508) = 48768


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 845/384, 1921/508

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 845/384, 1921/508?

Answer: GCF of Numerators as per given numbers 845/384, 1921/508 is

GCF of Numerators i.e. for 845,1921 is 1

LCM of denominators i.e. for 384,508 is 48768.

Thus, GCF of Fractions is 1/48768.Finally, GCF of Fractions for 845/384, 1921/508 is 1/48768.