Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 448/79,466/92,298/709
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 448,466,298
Greatest Common Factor of Numerators i.e. GCF of 448,466,298 is 2 .
LCM of Denominators means LCM of 79,92,709 as per the given fractions.
LCM of 79,92,709 is 5153012 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 448,466,298
2 | 448, 466, 298 |
224, 233, 149 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Greatest Common Factor
We found the factors 448,466,298 . The biggest common factor number is the GCF number.
So the greatest common factor 448,466,298 is 2.
Lets's calculate LCM of 79,92,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 5153012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5153012
Therefore, the GCF of Fractions 448/79,466/92,298/709 is 2/5153012
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 79,92,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,92,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,92,709) x common factors =1 x 1 = 1
LCM(79,92,709) = ( 79 × 92 × 709 ) / 1
LCM(79,92,709) = 5153012 / 1
LCM(79,92,709) = 5153012
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 448/79, 466/92, 298/709?
Answer: GCF of Numerators as per given numbers 448/79, 466/92, 298/709 is
GCF of Numerators i.e. for 448,466,298 is 2
LCM of denominators i.e. for 79,92,709 is 5153012.
Thus, GCF of Fractions is 2/5153012.Finally, GCF of Fractions for 448/79, 466/92, 298/709 is 2/5153012.