Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 952/667,331/135,780/849
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 952,331,780
Greatest Common Factor of Numerators i.e. GCF of 952,331,780 is 1 .
LCM of Denominators means LCM of 667,135,849 as per the given fractions.
LCM of 667,135,849 is 25482735 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 952,331,780
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 952,331,780 . The biggest common factor number is the GCF number.
So the greatest common factor 952,331,780 is 1.
Lets's calculate LCM of 667,135,849
3 | 667, 135, 849 |
667, 45, 283 |
∴ So the LCM of the given numbers is 3 x 667 x 45 x 283 = 25482735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25482735
Therefore, the GCF of Fractions 952/667,331/135,780/849 is 1/25482735
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 667,135,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,135,849) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(667,135,849) x common factors =1 x 3 = 3
LCM(667,135,849) = ( 667 × 135 × 849 ) / 3
LCM(667,135,849) = 76448205 / 3
LCM(667,135,849) = 25482735
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 952/667, 331/135, 780/849?
Answer: GCF of Numerators as per given numbers 952/667, 331/135, 780/849 is
GCF of Numerators i.e. for 952,331,780 is 1
LCM of denominators i.e. for 667,135,849 is 25482735.
Thus, GCF of Fractions is 1/25482735.Finally, GCF of Fractions for 952/667, 331/135, 780/849 is 1/25482735.