Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1499/212,7870/261
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 1499,7870
Greatest Common Factor of Numerators i.e. GCF of 1499,7870 is 1 .
LCM of Denominators means LCM of 212,261 as per the given fractions.
LCM of 212,261 is 55332 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1499,7870
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1499
List of positive integer factors of 1499 that divides 1499 without a remainder.
1,1499
Factors of 7870
List of positive integer factors of 7870 that divides 7870 without a remainder.
1,2,5,10,787,1574,3935,7870
Greatest Common Factor
We found the factors 1499,7870 . The biggest common factor number is the GCF number.
So the greatest common factor 1499,7870 is 1.
Lets's calculate LCM of 212,261
Given numbers has no common factors except 1. So, there LCM is their product i.e 55332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55332
Therefore, the GCF of Fractions 1499/212,7870/261 is 1/55332
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 212,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,261) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,261) x common factors =1 x 1 = 1
LCM(212,261) = ( 212 × 261 ) / 1
LCM(212,261) = 55332 / 1
LCM(212,261) = 55332
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 1499/212, 7870/261?
Answer: GCF of Numerators as per given numbers 1499/212, 7870/261 is
GCF of Numerators i.e. for 1499,7870 is 1
LCM of denominators i.e. for 212,261 is 55332.
Thus, GCF of Fractions is 1/55332.Finally, GCF of Fractions for 1499/212, 7870/261 is 1/55332.