Greatest Common Factor of 4437/827, 1508/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4437/827, 1508/816

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 4437/827,1508/816

Given fractions are 4437/827,1508/816

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 4437,1508

Greatest Common Factor of Numerators i.e. GCF of 4437,1508 is 29 .

LCM of Denominators means LCM of 827,816 as per the given fractions.

LCM of 827,816 is 674832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4437,1508

GCF of Fractions 4437/827,1508/816 is 29/674832

29 4437, 1508
153, 52

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 4437,1508 By Matching Biggest Common Factor Method

Greatest Common Factor of 4437,1508 By Matching Biggest Common Factor Method

Factors of 4437

List of positive integer factors of 4437 that divides 4437 without a remainder.

1,3,9,17,29,51,87,153,261,493,1479,4437

Factors of 1508

List of positive integer factors of 1508 that divides 1508 without a remainder.

1,2,4,13,26,29,52,58,116,377,754,1508

Greatest Common Factor

We found the factors 4437,1508 . The biggest common factor number is the GCF number.
So the greatest common factor 4437,1508 is 29.

Lets's calculate LCM of 827,816

Given numbers has no common factors except 1. So, there LCM is their product i.e 674832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/674832

Therefore, the GCF of Fractions 4437/827,1508/816 is 29/674832

Least Common Multiple of 827,816 with GCF Formula

Least Common Multiple of 827,816 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 827,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,816) = 1

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

GCF(827,816) x common factors =1 x 1 = 1

LCM(827,816) = ( 827 × 816 ) / 1

LCM(827,816) = 674832 / 1

LCM(827,816) = 674832


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 4437/827, 1508/816

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 4437/827, 1508/816?

Answer: GCF of Numerators as per given numbers 4437/827, 1508/816 is

GCF of Numerators i.e. for 4437,1508 is 29

LCM of denominators i.e. for 827,816 is 674832.

Thus, GCF of Fractions is 29/674832.Finally, GCF of Fractions for 4437/827, 1508/816 is 29/674832.