Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/32,10/379,283/214
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 14,10,283
Greatest Common Factor of Numerators i.e. GCF of 14,10,283 is 1 .
LCM of Denominators means LCM of 32,379,214 as per the given fractions.
LCM of 32,379,214 is 1297696 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,10,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 14,10,283 . The biggest common factor number is the GCF number.
So the greatest common factor 14,10,283 is 1.
Lets's calculate LCM of 32,379,214
2 | 32, 379, 214 |
16, 379, 107 |
∴ So the LCM of the given numbers is 2 x 16 x 379 x 107 = 1297696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1297696
Therefore, the GCF of Fractions 14/32,10/379,283/214 is 1/1297696
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 32,379,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,379,214) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(32,379,214) x common factors =1 x 2 = 2
LCM(32,379,214) = ( 32 × 379 × 214 ) / 2
LCM(32,379,214) = 2595392 / 2
LCM(32,379,214) = 1297696
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 14/32, 10/379, 283/214?
Answer: GCF of Numerators as per given numbers 14/32, 10/379, 283/214 is
GCF of Numerators i.e. for 14,10,283 is 1
LCM of denominators i.e. for 32,379,214 is 1297696.
Thus, GCF of Fractions is 1/1297696.Finally, GCF of Fractions for 14/32, 10/379, 283/214 is 1/1297696.