Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 800/20,479/59,654/42
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 800,479,654
Greatest Common Factor of Numerators i.e. GCF of 800,479,654 is 1 .
LCM of Denominators means LCM of 20,59,42 as per the given fractions.
LCM of 20,59,42 is 24780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 800,479,654
∴ So GCF of numbers is 1 because of no common factors present between them.
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 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 800,479,654 . The biggest common factor number is the GCF number.
So the greatest common factor 800,479,654 is 1.
Lets's calculate LCM of 20,59,42
2 | 20, 59, 42 |
10, 59, 21 |
∴ So the LCM of the given numbers is 2 x 10 x 59 x 21 = 24780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24780
Therefore, the GCF of Fractions 800/20,479/59,654/42 is 1/24780
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 20,59,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,59,42) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(20,59,42) x common factors =1 x 2 = 2
LCM(20,59,42) = ( 20 × 59 × 42 ) / 2
LCM(20,59,42) = 49560 / 2
LCM(20,59,42) = 24780
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 800/20, 479/59, 654/42?
Answer: GCF of Numerators as per given numbers 800/20, 479/59, 654/42 is
GCF of Numerators i.e. for 800,479,654 is 1
LCM of denominators i.e. for 20,59,42 is 24780.
Thus, GCF of Fractions is 1/24780.Finally, GCF of Fractions for 800/20, 479/59, 654/42 is 1/24780.