Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5028/902,6550/798
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 5028,6550
Greatest Common Factor of Numerators i.e. GCF of 5028,6550 is 2 .
LCM of Denominators means LCM of 902,798 as per the given fractions.
LCM of 902,798 is 359898 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5028,6550
2 | 5028, 6550 |
2514, 3275 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5028
List of positive integer factors of 5028 that divides 5028 without a remainder.
1,2,3,4,6,12,419,838,1257,1676,2514,5028
Factors of 6550
List of positive integer factors of 6550 that divides 6550 without a remainder.
1,2,5,10,25,50,131,262,655,1310,3275,6550
Greatest Common Factor
We found the factors 5028,6550 . The biggest common factor number is the GCF number.
So the greatest common factor 5028,6550 is 2.
Lets's calculate LCM of 902,798
2 | 902, 798 |
451, 399 |
∴ So the LCM of the given numbers is 2 x 451 x 399 = 359898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/359898
Therefore, the GCF of Fractions 5028/902,6550/798 is 2/359898
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 902,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,798) x common factors =2 x 1 = 2
LCM(902,798) = ( 902 × 798 ) / 2
LCM(902,798) = 719796 / 2
LCM(902,798) = 359898
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 5028/902, 6550/798?
Answer: GCF of Numerators as per given numbers 5028/902, 6550/798 is
GCF of Numerators i.e. for 5028,6550 is 2
LCM of denominators i.e. for 902,798 is 359898.
Thus, GCF of Fractions is 2/359898.Finally, GCF of Fractions for 5028/902, 6550/798 is 2/359898.