Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3245/949,6910/6008
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 3245,6910
Greatest Common Factor of Numerators i.e. GCF of 3245,6910 is 5 .
LCM of Denominators means LCM of 949,6008 as per the given fractions.
LCM of 949,6008 is 5701592 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3245,6910
5 | 3245, 6910 |
649, 1382 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 3245
List of positive integer factors of 3245 that divides 3245 without a remainder.
1,5,11,55,59,295,649,3245
Factors of 6910
List of positive integer factors of 6910 that divides 6910 without a remainder.
1,2,5,10,691,1382,3455,6910
Greatest Common Factor
We found the factors 3245,6910 . The biggest common factor number is the GCF number.
So the greatest common factor 3245,6910 is 5.
Lets's calculate LCM of 949,6008
Given numbers has no common factors except 1. So, there LCM is their product i.e 5701592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5701592
Therefore, the GCF of Fractions 3245/949,6910/6008 is 5/5701592
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 949,6008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,6008) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(949,6008) x common factors =1 x 1 = 1
LCM(949,6008) = ( 949 × 6008 ) / 1
LCM(949,6008) = 5701592 / 1
LCM(949,6008) = 5701592
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 3245/949, 6910/6008?
Answer: GCF of Numerators as per given numbers 3245/949, 6910/6008 is
GCF of Numerators i.e. for 3245,6910 is 5
LCM of denominators i.e. for 949,6008 is 5701592.
Thus, GCF of Fractions is 5/5701592.Finally, GCF of Fractions for 3245/949, 6910/6008 is 5/5701592.