Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2650/25,1010/872
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 2650,1010
Greatest Common Factor of Numerators i.e. GCF of 2650,1010 is 10 .
LCM of Denominators means LCM of 25,872 as per the given fractions.
LCM of 25,872 is 21800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2650,1010
2 | 2650, 1010 |
5 | 1325, 505 |
265, 101 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 2650
List of positive integer factors of 2650 that divides 2650 without a remainder.
1,2,5,10,25,50,53,106,265,530,1325,2650
Factors of 1010
List of positive integer factors of 1010 that divides 1010 without a remainder.
1,2,5,10,101,202,505,1010
Greatest Common Factor
We found the factors 2650,1010 . The biggest common factor number is the GCF number.
So the greatest common factor 2650,1010 is 10.
Lets's calculate LCM of 25,872
Given numbers has no common factors except 1. So, there LCM is their product i.e 21800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/21800
Therefore, the GCF of Fractions 2650/25,1010/872 is 10/21800
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 25,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,872) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,872) x common factors =1 x 1 = 1
LCM(25,872) = ( 25 × 872 ) / 1
LCM(25,872) = 21800 / 1
LCM(25,872) = 21800
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 2650/25, 1010/872?
Answer: GCF of Numerators as per given numbers 2650/25, 1010/872 is
GCF of Numerators i.e. for 2650,1010 is 10
LCM of denominators i.e. for 25,872 is 21800.
Thus, GCF of Fractions is 10/21800.Finally, GCF of Fractions for 2650/25, 1010/872 is 10/21800.