Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 653/436,878/635,519/901
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 653,878,519
Greatest Common Factor of Numerators i.e. GCF of 653,878,519 is 1 .
LCM of Denominators means LCM of 436,635,901 as per the given fractions.
LCM of 436,635,901 is 249450860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 653,878,519
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Greatest Common Factor
We found the factors 653,878,519 . The biggest common factor number is the GCF number.
So the greatest common factor 653,878,519 is 1.
Lets's calculate LCM of 436,635,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 249450860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249450860
Therefore, the GCF of Fractions 653/436,878/635,519/901 is 1/249450860
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 436,635,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,635,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(436,635,901) x common factors =1 x 1 = 1
LCM(436,635,901) = ( 436 × 635 × 901 ) / 1
LCM(436,635,901) = 249450860 / 1
LCM(436,635,901) = 249450860
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 653/436, 878/635, 519/901?
Answer: GCF of Numerators as per given numbers 653/436, 878/635, 519/901 is
GCF of Numerators i.e. for 653,878,519 is 1
LCM of denominators i.e. for 436,635,901 is 249450860.
Thus, GCF of Fractions is 1/249450860.Finally, GCF of Fractions for 653/436, 878/635, 519/901 is 1/249450860.