Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/53,910/16,702/395
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 94,910,702
Greatest Common Factor of Numerators i.e. GCF of 94,910,702 is 2 .
LCM of Denominators means LCM of 53,16,395 as per the given fractions.
LCM of 53,16,395 is 334960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,910,702
2 | 94, 910, 702 |
47, 455, 351 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 94,910,702 . The biggest common factor number is the GCF number.
So the greatest common factor 94,910,702 is 2.
Lets's calculate LCM of 53,16,395
Given numbers has no common factors except 1. So, there LCM is their product i.e 334960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/334960
Therefore, the GCF of Fractions 94/53,910/16,702/395 is 2/334960
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 53,16,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,16,395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,16,395) x common factors =1 x 1 = 1
LCM(53,16,395) = ( 53 × 16 × 395 ) / 1
LCM(53,16,395) = 334960 / 1
LCM(53,16,395) = 334960
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 94/53, 910/16, 702/395?
Answer: GCF of Numerators as per given numbers 94/53, 910/16, 702/395 is
GCF of Numerators i.e. for 94,910,702 is 2
LCM of denominators i.e. for 53,16,395 is 334960.
Thus, GCF of Fractions is 2/334960.Finally, GCF of Fractions for 94/53, 910/16, 702/395 is 2/334960.