Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2505/488,2498/140
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 2505,2498
Greatest Common Factor of Numerators i.e. GCF of 2505,2498 is 1 .
LCM of Denominators means LCM of 488,140 as per the given fractions.
LCM of 488,140 is 17080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2505,2498
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2505
List of positive integer factors of 2505 that divides 2505 without a remainder.
1,3,5,15,167,501,835,2505
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 2505,2498 . The biggest common factor number is the GCF number.
So the greatest common factor 2505,2498 is 1.
Lets's calculate LCM of 488,140
2 | 488, 140 |
2 | 244, 70 |
122, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 122 x 35 = 17080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17080
Therefore, the GCF of Fractions 2505/488,2498/140 is 1/17080
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 488,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,140) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(488,140) x common factors =4 x 1 = 4
LCM(488,140) = ( 488 × 140 ) / 4
LCM(488,140) = 68320 / 4
LCM(488,140) = 17080
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 2505/488, 2498/140?
Answer: GCF of Numerators as per given numbers 2505/488, 2498/140 is
GCF of Numerators i.e. for 2505,2498 is 1
LCM of denominators i.e. for 488,140 is 17080.
Thus, GCF of Fractions is 1/17080.Finally, GCF of Fractions for 2505/488, 2498/140 is 1/17080.