Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 629/978,800/113,562/356
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 629,800,562
Greatest Common Factor of Numerators i.e. GCF of 629,800,562 is 1 .
LCM of Denominators means LCM of 978,113,356 as per the given fractions.
LCM of 978,113,356 is 19671492 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 629,800,562
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
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 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Greatest Common Factor
We found the factors 629,800,562 . The biggest common factor number is the GCF number.
So the greatest common factor 629,800,562 is 1.
Lets's calculate LCM of 978,113,356
2 | 978, 113, 356 |
489, 113, 178 |
∴ So the LCM of the given numbers is 2 x 489 x 113 x 178 = 19671492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19671492
Therefore, the GCF of Fractions 629/978,800/113,562/356 is 1/19671492
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 978,113,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,113,356) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(978,113,356) x common factors =1 x 2 = 2
LCM(978,113,356) = ( 978 × 113 × 356 ) / 2
LCM(978,113,356) = 39342984 / 2
LCM(978,113,356) = 19671492
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 629/978, 800/113, 562/356?
Answer: GCF of Numerators as per given numbers 629/978, 800/113, 562/356 is
GCF of Numerators i.e. for 629,800,562 is 1
LCM of denominators i.e. for 978,113,356 is 19671492.
Thus, GCF of Fractions is 1/19671492.Finally, GCF of Fractions for 629/978, 800/113, 562/356 is 1/19671492.