Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 890/981,4224/876
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 890,4224
Greatest Common Factor of Numerators i.e. GCF of 890,4224 is 2 .
LCM of Denominators means LCM of 981,876 as per the given fractions.
LCM of 981,876 is 286452 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 890,4224
2 | 890, 4224 |
445, 2112 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 4224
List of positive integer factors of 4224 that divides 4224 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,264,352,384,528,704,1056,1408,2112,4224
Greatest Common Factor
We found the factors 890,4224 . The biggest common factor number is the GCF number.
So the greatest common factor 890,4224 is 2.
Lets's calculate LCM of 981,876
3 | 981, 876 |
327, 292 |
∴ So the LCM of the given numbers is 3 x 327 x 292 = 286452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/286452
Therefore, the GCF of Fractions 890/981,4224/876 is 2/286452
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 981,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,876) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(981,876) x common factors =3 x 1 = 3
LCM(981,876) = ( 981 × 876 ) / 3
LCM(981,876) = 859356 / 3
LCM(981,876) = 286452
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 890/981, 4224/876?
Answer: GCF of Numerators as per given numbers 890/981, 4224/876 is
GCF of Numerators i.e. for 890,4224 is 2
LCM of denominators i.e. for 981,876 is 286452.
Thus, GCF of Fractions is 2/286452.Finally, GCF of Fractions for 890/981, 4224/876 is 2/286452.