Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 910/748,392/478
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 910,392
Greatest Common Factor of Numerators i.e. GCF of 910,392 is 14 .
LCM of Denominators means LCM of 748,478 as per the given fractions.
LCM of 748,478 is 178772 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 910,392
2 | 910, 392 |
7 | 455, 196 |
65, 28 |
∴ So the GCF of the given numbers is 2 x 7 = 14
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 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 910,392 . The biggest common factor number is the GCF number.
So the greatest common factor 910,392 is 14.
Lets's calculate LCM of 748,478
2 | 748, 478 |
374, 239 |
∴ So the LCM of the given numbers is 2 x 374 x 239 = 178772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/178772
Therefore, the GCF of Fractions 910/748,392/478 is 14/178772
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 748,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,478) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(748,478) x common factors =2 x 1 = 2
LCM(748,478) = ( 748 × 478 ) / 2
LCM(748,478) = 357544 / 2
LCM(748,478) = 178772
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 910/748, 392/478?
Answer: GCF of Numerators as per given numbers 910/748, 392/478 is
GCF of Numerators i.e. for 910,392 is 14
LCM of denominators i.e. for 748,478 is 178772.
Thus, GCF of Fractions is 14/178772.Finally, GCF of Fractions for 910/748, 392/478 is 14/178772.