Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8019/492,5250/684
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 8019,5250
Greatest Common Factor of Numerators i.e. GCF of 8019,5250 is 3 .
LCM of Denominators means LCM of 492,684 as per the given fractions.
LCM of 492,684 is 28044 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8019,5250
3 | 8019, 5250 |
2673, 1750 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8019
List of positive integer factors of 8019 that divides 8019 without a remainder.
1,3,9,11,27,33,81,99,243,297,729,891,2673,8019
Factors of 5250
List of positive integer factors of 5250 that divides 5250 without a remainder.
1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,125,150,175,210,250,350,375,525,750,875,1050,1750,2625,5250
Greatest Common Factor
We found the factors 8019,5250 . The biggest common factor number is the GCF number.
So the greatest common factor 8019,5250 is 3.
Lets's calculate LCM of 492,684
2 | 492, 684 |
2 | 246, 342 |
3 | 123, 171 |
41, 57 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 57 = 28044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/28044
Therefore, the GCF of Fractions 8019/492,5250/684 is 3/28044
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 492,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,684) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(492,684) x common factors =12 x 1 = 12
LCM(492,684) = ( 492 × 684 ) / 12
LCM(492,684) = 336528 / 12
LCM(492,684) = 28044
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 8019/492, 5250/684?
Answer: GCF of Numerators as per given numbers 8019/492, 5250/684 is
GCF of Numerators i.e. for 8019,5250 is 3
LCM of denominators i.e. for 492,684 is 28044.
Thus, GCF of Fractions is 3/28044.Finally, GCF of Fractions for 8019/492, 5250/684 is 3/28044.