Greatest Common Factor of 5434/51, 4824/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5434/51, 4824/895

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 5434/51,4824/895

Given fractions are 5434/51,4824/895

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 5434,4824

Greatest Common Factor of Numerators i.e. GCF of 5434,4824 is 2 .

LCM of Denominators means LCM of 51,895 as per the given fractions.

LCM of 51,895 is 45645 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5434,4824

GCF of Fractions 5434/51,4824/895 is 2/45645

2 5434, 4824
2717, 2412

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

Greatest Common Factor of 5434,4824 By Matching Biggest Common Factor Method

Greatest Common Factor of 5434,4824 By Matching Biggest Common Factor Method

Factors of 5434

List of positive integer factors of 5434 that divides 5434 without a remainder.

1,2,11,13,19,22,26,38,143,209,247,286,418,494,2717,5434

Factors of 4824

List of positive integer factors of 4824 that divides 4824 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824

Greatest Common Factor

We found the factors 5434,4824 . The biggest common factor number is the GCF number.
So the greatest common factor 5434,4824 is 2.

Lets's calculate LCM of 51,895

Given numbers has no common factors except 1. So, there LCM is their product i.e 45645

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45645

Therefore, the GCF of Fractions 5434/51,4824/895 is 2/45645

Least Common Multiple of 51,895 with GCF Formula

Least Common Multiple of 51,895 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 51,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,895) = 1

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

GCF(51,895) x common factors =1 x 1 = 1

LCM(51,895) = ( 51 × 895 ) / 1

LCM(51,895) = 45645 / 1

LCM(51,895) = 45645


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 5434/51, 4824/895

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 5434/51, 4824/895?

Answer: GCF of Numerators as per given numbers 5434/51, 4824/895 is

GCF of Numerators i.e. for 5434,4824 is 2

LCM of denominators i.e. for 51,895 is 45645.

Thus, GCF of Fractions is 2/45645.Finally, GCF of Fractions for 5434/51, 4824/895 is 2/45645.