Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 837/29,222/32,492/666
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 837,222,492
Greatest Common Factor of Numerators i.e. GCF of 837,222,492 is 3 .
LCM of Denominators means LCM of 29,32,666 as per the given fractions.
LCM of 29,32,666 is 309024 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 837,222,492
3 | 837, 222, 492 |
279, 74, 164 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Greatest Common Factor
We found the factors 837,222,492 . The biggest common factor number is the GCF number.
So the greatest common factor 837,222,492 is 3.
Lets's calculate LCM of 29,32,666
2 | 29, 32, 666 |
29, 16, 333 |
∴ So the LCM of the given numbers is 2 x 29 x 16 x 333 = 309024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/309024
Therefore, the GCF of Fractions 837/29,222/32,492/666 is 3/309024
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 29,32,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,32,666) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(29,32,666) x common factors =1 x 2 = 2
LCM(29,32,666) = ( 29 × 32 × 666 ) / 2
LCM(29,32,666) = 618048 / 2
LCM(29,32,666) = 309024
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 837/29, 222/32, 492/666?
Answer: GCF of Numerators as per given numbers 837/29, 222/32, 492/666 is
GCF of Numerators i.e. for 837,222,492 is 3
LCM of denominators i.e. for 29,32,666 is 309024.
Thus, GCF of Fractions is 3/309024.Finally, GCF of Fractions for 837/29, 222/32, 492/666 is 3/309024.