Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7884/202,1054/1683
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 7884,1054
Greatest Common Factor of Numerators i.e. GCF of 7884,1054 is 2 .
LCM of Denominators means LCM of 202,1683 as per the given fractions.
LCM of 202,1683 is 339966 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7884,1054
2 | 7884, 1054 |
3942, 527 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7884
List of positive integer factors of 7884 that divides 7884 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,73,108,146,219,292,438,657,876,1314,1971,2628,3942,7884
Factors of 1054
List of positive integer factors of 1054 that divides 1054 without a remainder.
1,2,17,31,34,62,527,1054
Greatest Common Factor
We found the factors 7884,1054 . The biggest common factor number is the GCF number.
So the greatest common factor 7884,1054 is 2.
Lets's calculate LCM of 202,1683
Given numbers has no common factors except 1. So, there LCM is their product i.e 339966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/339966
Therefore, the GCF of Fractions 7884/202,1054/1683 is 2/339966
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 202,1683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,1683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,1683) x common factors =1 x 1 = 1
LCM(202,1683) = ( 202 × 1683 ) / 1
LCM(202,1683) = 339966 / 1
LCM(202,1683) = 339966
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 7884/202, 1054/1683?
Answer: GCF of Numerators as per given numbers 7884/202, 1054/1683 is
GCF of Numerators i.e. for 7884,1054 is 2
LCM of denominators i.e. for 202,1683 is 339966.
Thus, GCF of Fractions is 2/339966.Finally, GCF of Fractions for 7884/202, 1054/1683 is 2/339966.