Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 527/882,1912/500
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 527,1912
Greatest Common Factor of Numerators i.e. GCF of 527,1912 is 1 .
LCM of Denominators means LCM of 882,500 as per the given fractions.
LCM of 882,500 is 220500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 527,1912
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Factors of 1912
List of positive integer factors of 1912 that divides 1912 without a remainder.
1,2,4,8,239,478,956,1912
Greatest Common Factor
We found the factors 527,1912 . The biggest common factor number is the GCF number.
So the greatest common factor 527,1912 is 1.
Lets's calculate LCM of 882,500
2 | 882, 500 |
441, 250 |
∴ So the LCM of the given numbers is 2 x 441 x 250 = 220500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220500
Therefore, the GCF of Fractions 527/882,1912/500 is 1/220500
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 882,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,500) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(882,500) x common factors =2 x 1 = 2
LCM(882,500) = ( 882 × 500 ) / 2
LCM(882,500) = 441000 / 2
LCM(882,500) = 220500
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 527/882, 1912/500?
Answer: GCF of Numerators as per given numbers 527/882, 1912/500 is
GCF of Numerators i.e. for 527,1912 is 1
LCM of denominators i.e. for 882,500 is 220500.
Thus, GCF of Fractions is 1/220500.Finally, GCF of Fractions for 527/882, 1912/500 is 1/220500.