Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8872/32,7962/360
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 8872,7962
Greatest Common Factor of Numerators i.e. GCF of 8872,7962 is 2 .
LCM of Denominators means LCM of 32,360 as per the given fractions.
LCM of 32,360 is 1440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8872,7962
2 | 8872, 7962 |
4436, 3981 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8872
List of positive integer factors of 8872 that divides 8872 without a remainder.
1,2,4,8,1109,2218,4436,8872
Factors of 7962
List of positive integer factors of 7962 that divides 7962 without a remainder.
1,2,3,6,1327,2654,3981,7962
Greatest Common Factor
We found the factors 8872,7962 . The biggest common factor number is the GCF number.
So the greatest common factor 8872,7962 is 2.
Lets's calculate LCM of 32,360
2 | 32, 360 |
2 | 16, 180 |
2 | 8, 90 |
4, 45 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 45 = 1440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1440
Therefore, the GCF of Fractions 8872/32,7962/360 is 2/1440
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 32,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,360) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(32,360) x common factors =8 x 1 = 8
LCM(32,360) = ( 32 × 360 ) / 8
LCM(32,360) = 11520 / 8
LCM(32,360) = 1440
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 8872/32, 7962/360?
Answer: GCF of Numerators as per given numbers 8872/32, 7962/360 is
GCF of Numerators i.e. for 8872,7962 is 2
LCM of denominators i.e. for 32,360 is 1440.
Thus, GCF of Fractions is 2/1440.Finally, GCF of Fractions for 8872/32, 7962/360 is 2/1440.