Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9960/32,2220/792
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 9960,2220
Greatest Common Factor of Numerators i.e. GCF of 9960,2220 is 60 .
LCM of Denominators means LCM of 32,792 as per the given fractions.
LCM of 32,792 is 3168 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9960,2220
2 | 9960, 2220 |
2 | 4980, 1110 |
3 | 2490, 555 |
5 | 830, 185 |
166, 37 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60
Factors of 9960
List of positive integer factors of 9960 that divides 9960 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960
Factors of 2220
List of positive integer factors of 2220 that divides 2220 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,37,60,74,111,148,185,222,370,444,555,740,1110,2220
Greatest Common Factor
We found the factors 9960,2220 . The biggest common factor number is the GCF number.
So the greatest common factor 9960,2220 is 60.
Lets's calculate LCM of 32,792
2 | 32, 792 |
2 | 16, 396 |
2 | 8, 198 |
4, 99 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 99 = 3168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/3168
Therefore, the GCF of Fractions 9960/32,2220/792 is 60/3168
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 32,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,792) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(32,792) x common factors =8 x 1 = 8
LCM(32,792) = ( 32 × 792 ) / 8
LCM(32,792) = 25344 / 8
LCM(32,792) = 3168
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 9960/32, 2220/792?
Answer: GCF of Numerators as per given numbers 9960/32, 2220/792 is
GCF of Numerators i.e. for 9960,2220 is 60
LCM of denominators i.e. for 32,792 is 3168.
Thus, GCF of Fractions is 60/3168.Finally, GCF of Fractions for 9960/32, 2220/792 is 60/3168.