Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 245/568,8480/220
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 245,8480
Greatest Common Factor of Numerators i.e. GCF of 245,8480 is 5 .
LCM of Denominators means LCM of 568,220 as per the given fractions.
LCM of 568,220 is 31240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 245,8480
5 | 245, 8480 |
49, 1696 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Factors of 8480
List of positive integer factors of 8480 that divides 8480 without a remainder.
1,2,4,5,8,10,16,20,32,40,53,80,106,160,212,265,424,530,848,1060,1696,2120,4240,8480
Greatest Common Factor
We found the factors 245,8480 . The biggest common factor number is the GCF number.
So the greatest common factor 245,8480 is 5.
Lets's calculate LCM of 568,220
2 | 568, 220 |
2 | 284, 110 |
142, 55 |
∴ So the LCM of the given numbers is 2 x 2 x 142 x 55 = 31240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/31240
Therefore, the GCF of Fractions 245/568,8480/220 is 5/31240
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 568,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,220) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(568,220) x common factors =4 x 1 = 4
LCM(568,220) = ( 568 × 220 ) / 4
LCM(568,220) = 124960 / 4
LCM(568,220) = 31240
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 245/568, 8480/220?
Answer: GCF of Numerators as per given numbers 245/568, 8480/220 is
GCF of Numerators i.e. for 245,8480 is 5
LCM of denominators i.e. for 568,220 is 31240.
Thus, GCF of Fractions is 5/31240.Finally, GCF of Fractions for 245/568, 8480/220 is 5/31240.