Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/972,64/816,112/640
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 14,64,112
Greatest Common Factor of Numerators i.e. GCF of 14,64,112 is 2 .
LCM of Denominators means LCM of 972,816,640 as per the given fractions.
LCM of 972,816,640 is 2643840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,64,112
2 | 14, 64, 112 |
7, 32, 56 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 14,64,112 . The biggest common factor number is the GCF number.
So the greatest common factor 14,64,112 is 2.
Lets's calculate LCM of 972,816,640
2 | 972, 816, 640 |
2 | 486, 408, 320 |
2 | 243, 204, 160 |
2 | 243, 102, 80 |
3 | 243, 51, 40 |
81, 17, 40 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 81 x 17 x 40 = 2643840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2643840
Therefore, the GCF of Fractions 14/972,64/816,112/640 is 2/2643840
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 972,816,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,816,640) = 4
common factors(in case of two or more numbers have common factors) = 48
GCF(972,816,640) x common factors =4 x 48 = 192
LCM(972,816,640) = ( 972 × 816 × 640 ) / 192
LCM(972,816,640) = 507617280 / 192
LCM(972,816,640) = 2643840
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 14/972, 64/816, 112/640?
Answer: GCF of Numerators as per given numbers 14/972, 64/816, 112/640 is
GCF of Numerators i.e. for 14,64,112 is 2
LCM of denominators i.e. for 972,816,640 is 2643840.
Thus, GCF of Fractions is 2/2643840.Finally, GCF of Fractions for 14/972, 64/816, 112/640 is 2/2643840.