Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 928/51,336/64,410/278
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 928,336,410
Greatest Common Factor of Numerators i.e. GCF of 928,336,410 is 2 .
LCM of Denominators means LCM of 51,64,278 as per the given fractions.
LCM of 51,64,278 is 453696 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 928,336,410
2 | 928, 336, 410 |
464, 168, 205 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 928,336,410 . The biggest common factor number is the GCF number.
So the greatest common factor 928,336,410 is 2.
Lets's calculate LCM of 51,64,278
2 | 51, 64, 278 |
51, 32, 139 |
∴ So the LCM of the given numbers is 2 x 51 x 32 x 139 = 453696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/453696
Therefore, the GCF of Fractions 928/51,336/64,410/278 is 2/453696
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 51,64,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,64,278) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(51,64,278) x common factors =1 x 2 = 2
LCM(51,64,278) = ( 51 × 64 × 278 ) / 2
LCM(51,64,278) = 907392 / 2
LCM(51,64,278) = 453696
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 928/51, 336/64, 410/278?
Answer: GCF of Numerators as per given numbers 928/51, 336/64, 410/278 is
GCF of Numerators i.e. for 928,336,410 is 2
LCM of denominators i.e. for 51,64,278 is 453696.
Thus, GCF of Fractions is 2/453696.Finally, GCF of Fractions for 928/51, 336/64, 410/278 is 2/453696.