Greatest Common Factor of 800/25, 364/31, 966/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 800/25, 364/31, 966/683

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 800/25,364/31,966/683

Given fractions are 800/25,364/31,966/683

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 800,364,966

Greatest Common Factor of Numerators i.e. GCF of 800,364,966 is 2 .

LCM of Denominators means LCM of 25,31,683 as per the given fractions.

LCM of 25,31,683 is 529325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 800,364,966

GCF of Fractions 800/25,364/31,966/683 is 2/529325

2 800, 364, 966
400, 182, 483

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

Greatest Common Factor of 800,364,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,364,966 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 800,364,966 . The biggest common factor number is the GCF number.
So the greatest common factor 800,364,966 is 2.

Lets's calculate LCM of 25,31,683

Given numbers has no common factors except 1. So, there LCM is their product i.e 529325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/529325

Therefore, the GCF of Fractions 800/25,364/31,966/683 is 2/529325

Least Common Multiple of 25,31,683 with GCF Formula

Least Common Multiple of 25,31,683 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 25,31,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,31,683) = 1

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

GCF(25,31,683) x common factors =1 x 1 = 1

LCM(25,31,683) = ( 25 × 31 × 683 ) / 1

LCM(25,31,683) = 529325 / 1

LCM(25,31,683) = 529325


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 800/25, 364/31, 966/683

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 800/25, 364/31, 966/683?

Answer: GCF of Numerators as per given numbers 800/25, 364/31, 966/683 is

GCF of Numerators i.e. for 800,364,966 is 2

LCM of denominators i.e. for 25,31,683 is 529325.

Thus, GCF of Fractions is 2/529325.Finally, GCF of Fractions for 800/25, 364/31, 966/683 is 2/529325.