Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5802/248,7738/8105
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 5802,7738
Greatest Common Factor of Numerators i.e. GCF of 5802,7738 is 2 .
LCM of Denominators means LCM of 248,8105 as per the given fractions.
LCM of 248,8105 is 2010040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5802,7738
2 | 5802, 7738 |
2901, 3869 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5802
List of positive integer factors of 5802 that divides 5802 without a remainder.
1,2,3,6,967,1934,2901,5802
Factors of 7738
List of positive integer factors of 7738 that divides 7738 without a remainder.
1,2,53,73,106,146,3869,7738
Greatest Common Factor
We found the factors 5802,7738 . The biggest common factor number is the GCF number.
So the greatest common factor 5802,7738 is 2.
Lets's calculate LCM of 248,8105
Given numbers has no common factors except 1. So, there LCM is their product i.e 2010040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2010040
Therefore, the GCF of Fractions 5802/248,7738/8105 is 2/2010040
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 248,8105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,8105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,8105) x common factors =1 x 1 = 1
LCM(248,8105) = ( 248 × 8105 ) / 1
LCM(248,8105) = 2010040 / 1
LCM(248,8105) = 2010040
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 5802/248, 7738/8105?
Answer: GCF of Numerators as per given numbers 5802/248, 7738/8105 is
GCF of Numerators i.e. for 5802,7738 is 2
LCM of denominators i.e. for 248,8105 is 2010040.
Thus, GCF of Fractions is 2/2010040.Finally, GCF of Fractions for 5802/248, 7738/8105 is 2/2010040.