Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 580/345,2508/687
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 580,2508
Greatest Common Factor of Numerators i.e. GCF of 580,2508 is 4 .
LCM of Denominators means LCM of 345,687 as per the given fractions.
LCM of 345,687 is 79005 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 580,2508
2 | 580, 2508 |
2 | 290, 1254 |
145, 627 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Factors of 2508
List of positive integer factors of 2508 that divides 2508 without a remainder.
1,2,3,4,6,11,12,19,22,33,38,44,57,66,76,114,132,209,228,418,627,836,1254,2508
Greatest Common Factor
We found the factors 580,2508 . The biggest common factor number is the GCF number.
So the greatest common factor 580,2508 is 4.
Lets's calculate LCM of 345,687
3 | 345, 687 |
115, 229 |
∴ So the LCM of the given numbers is 3 x 115 x 229 = 79005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/79005
Therefore, the GCF of Fractions 580/345,2508/687 is 4/79005
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 345,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,687) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(345,687) x common factors =3 x 1 = 3
LCM(345,687) = ( 345 × 687 ) / 3
LCM(345,687) = 237015 / 3
LCM(345,687) = 79005
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 580/345, 2508/687?
Answer: GCF of Numerators as per given numbers 580/345, 2508/687 is
GCF of Numerators i.e. for 580,2508 is 4
LCM of denominators i.e. for 345,687 is 79005.
Thus, GCF of Fractions is 4/79005.Finally, GCF of Fractions for 580/345, 2508/687 is 4/79005.