Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6004/975,3128/816
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 6004,3128
Greatest Common Factor of Numerators i.e. GCF of 6004,3128 is 4 .
LCM of Denominators means LCM of 975,816 as per the given fractions.
LCM of 975,816 is 265200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6004,3128
2 | 6004, 3128 |
2 | 3002, 1564 |
1501, 782 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6004
List of positive integer factors of 6004 that divides 6004 without a remainder.
1,2,4,19,38,76,79,158,316,1501,3002,6004
Factors of 3128
List of positive integer factors of 3128 that divides 3128 without a remainder.
1,2,4,8,17,23,34,46,68,92,136,184,391,782,1564,3128
Greatest Common Factor
We found the factors 6004,3128 . The biggest common factor number is the GCF number.
So the greatest common factor 6004,3128 is 4.
Lets's calculate LCM of 975,816
3 | 975, 816 |
325, 272 |
∴ So the LCM of the given numbers is 3 x 325 x 272 = 265200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/265200
Therefore, the GCF of Fractions 6004/975,3128/816 is 4/265200
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 975,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,816) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(975,816) x common factors =3 x 1 = 3
LCM(975,816) = ( 975 × 816 ) / 3
LCM(975,816) = 795600 / 3
LCM(975,816) = 265200
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 6004/975, 3128/816?
Answer: GCF of Numerators as per given numbers 6004/975, 3128/816 is
GCF of Numerators i.e. for 6004,3128 is 4
LCM of denominators i.e. for 975,816 is 265200.
Thus, GCF of Fractions is 4/265200.Finally, GCF of Fractions for 6004/975, 3128/816 is 4/265200.