Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 992/36,4490/429
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 992,4490
Greatest Common Factor of Numerators i.e. GCF of 992,4490 is 2 .
LCM of Denominators means LCM of 36,429 as per the given fractions.
LCM of 36,429 is 5148 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 992,4490
2 | 992, 4490 |
496, 2245 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Factors of 4490
List of positive integer factors of 4490 that divides 4490 without a remainder.
1,2,5,10,449,898,2245,4490
Greatest Common Factor
We found the factors 992,4490 . The biggest common factor number is the GCF number.
So the greatest common factor 992,4490 is 2.
Lets's calculate LCM of 36,429
3 | 36, 429 |
12, 143 |
∴ So the LCM of the given numbers is 3 x 12 x 143 = 5148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5148
Therefore, the GCF of Fractions 992/36,4490/429 is 2/5148
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 36,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,429) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(36,429) x common factors =3 x 1 = 3
LCM(36,429) = ( 36 × 429 ) / 3
LCM(36,429) = 15444 / 3
LCM(36,429) = 5148
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 992/36, 4490/429?
Answer: GCF of Numerators as per given numbers 992/36, 4490/429 is
GCF of Numerators i.e. for 992,4490 is 2
LCM of denominators i.e. for 36,429 is 5148.
Thus, GCF of Fractions is 2/5148.Finally, GCF of Fractions for 992/36, 4490/429 is 2/5148.