Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8367/64,8220/708
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 8367,8220
Greatest Common Factor of Numerators i.e. GCF of 8367,8220 is 3 .
LCM of Denominators means LCM of 64,708 as per the given fractions.
LCM of 64,708 is 11328 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8367,8220
3 | 8367, 8220 |
2789, 2740 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8367
List of positive integer factors of 8367 that divides 8367 without a remainder.
1,3,2789,8367
Factors of 8220
List of positive integer factors of 8220 that divides 8220 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220
Greatest Common Factor
We found the factors 8367,8220 . The biggest common factor number is the GCF number.
So the greatest common factor 8367,8220 is 3.
Lets's calculate LCM of 64,708
2 | 64, 708 |
2 | 32, 354 |
16, 177 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 177 = 11328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11328
Therefore, the GCF of Fractions 8367/64,8220/708 is 3/11328
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 64,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,708) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(64,708) x common factors =4 x 1 = 4
LCM(64,708) = ( 64 × 708 ) / 4
LCM(64,708) = 45312 / 4
LCM(64,708) = 11328
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 8367/64, 8220/708?
Answer: GCF of Numerators as per given numbers 8367/64, 8220/708 is
GCF of Numerators i.e. for 8367,8220 is 3
LCM of denominators i.e. for 64,708 is 11328.
Thus, GCF of Fractions is 3/11328.Finally, GCF of Fractions for 8367/64, 8220/708 is 3/11328.