Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1508/108,6281/2059
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 1508,6281
Greatest Common Factor of Numerators i.e. GCF of 1508,6281 is 1 .
LCM of Denominators means LCM of 108,2059 as per the given fractions.
LCM of 108,2059 is 222372 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1508,6281
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1508
List of positive integer factors of 1508 that divides 1508 without a remainder.
1,2,4,13,26,29,52,58,116,377,754,1508
Factors of 6281
List of positive integer factors of 6281 that divides 6281 without a remainder.
1,11,571,6281
Greatest Common Factor
We found the factors 1508,6281 . The biggest common factor number is the GCF number.
So the greatest common factor 1508,6281 is 1.
Lets's calculate LCM of 108,2059
Given numbers has no common factors except 1. So, there LCM is their product i.e 222372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222372
Therefore, the GCF of Fractions 1508/108,6281/2059 is 1/222372
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 108,2059 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,2059) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(108,2059) x common factors =1 x 1 = 1
LCM(108,2059) = ( 108 × 2059 ) / 1
LCM(108,2059) = 222372 / 1
LCM(108,2059) = 222372
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 1508/108, 6281/2059?
Answer: GCF of Numerators as per given numbers 1508/108, 6281/2059 is
GCF of Numerators i.e. for 1508,6281 is 1
LCM of denominators i.e. for 108,2059 is 222372.
Thus, GCF of Fractions is 1/222372.Finally, GCF of Fractions for 1508/108, 6281/2059 is 1/222372.