Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3688/222,2492/1821
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 3688,2492
Greatest Common Factor of Numerators i.e. GCF of 3688,2492 is 4 .
LCM of Denominators means LCM of 222,1821 as per the given fractions.
LCM of 222,1821 is 134754 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3688,2492
2 | 3688, 2492 |
2 | 1844, 1246 |
922, 623 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3688
List of positive integer factors of 3688 that divides 3688 without a remainder.
1,2,4,8,461,922,1844,3688
Factors of 2492
List of positive integer factors of 2492 that divides 2492 without a remainder.
1,2,4,7,14,28,89,178,356,623,1246,2492
Greatest Common Factor
We found the factors 3688,2492 . The biggest common factor number is the GCF number.
So the greatest common factor 3688,2492 is 4.
Lets's calculate LCM of 222,1821
3 | 222, 1821 |
74, 607 |
∴ So the LCM of the given numbers is 3 x 74 x 607 = 134754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/134754
Therefore, the GCF of Fractions 3688/222,2492/1821 is 4/134754
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 222,1821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,1821) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(222,1821) x common factors =3 x 1 = 3
LCM(222,1821) = ( 222 × 1821 ) / 3
LCM(222,1821) = 404262 / 3
LCM(222,1821) = 134754
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 3688/222, 2492/1821?
Answer: GCF of Numerators as per given numbers 3688/222, 2492/1821 is
GCF of Numerators i.e. for 3688,2492 is 4
LCM of denominators i.e. for 222,1821 is 134754.
Thus, GCF of Fractions is 4/134754.Finally, GCF of Fractions for 3688/222, 2492/1821 is 4/134754.