Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2080/953,2498/9085
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 2080,2498
Greatest Common Factor of Numerators i.e. GCF of 2080,2498 is 2 .
LCM of Denominators means LCM of 953,9085 as per the given fractions.
LCM of 953,9085 is 8658005 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2080,2498
2 | 2080, 2498 |
1040, 1249 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2080
List of positive integer factors of 2080 that divides 2080 without a remainder.
1,2,4,5,8,10,13,16,20,26,32,40,52,65,80,104,130,160,208,260,416,520,1040,2080
Factors of 2498
List of positive integer factors of 2498 that divides 2498 without a remainder.
1,2,1249,2498
Greatest Common Factor
We found the factors 2080,2498 . The biggest common factor number is the GCF number.
So the greatest common factor 2080,2498 is 2.
Lets's calculate LCM of 953,9085
Given numbers has no common factors except 1. So, there LCM is their product i.e 8658005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8658005
Therefore, the GCF of Fractions 2080/953,2498/9085 is 2/8658005
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 953,9085 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,9085) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,9085) x common factors =1 x 1 = 1
LCM(953,9085) = ( 953 × 9085 ) / 1
LCM(953,9085) = 8658005 / 1
LCM(953,9085) = 8658005
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 2080/953, 2498/9085?
Answer: GCF of Numerators as per given numbers 2080/953, 2498/9085 is
GCF of Numerators i.e. for 2080,2498 is 2
LCM of denominators i.e. for 953,9085 is 8658005.
Thus, GCF of Fractions is 2/8658005.Finally, GCF of Fractions for 2080/953, 2498/9085 is 2/8658005.