Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5180/59,1120/856
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 5180,1120
Greatest Common Factor of Numerators i.e. GCF of 5180,1120 is 140 .
LCM of Denominators means LCM of 59,856 as per the given fractions.
LCM of 59,856 is 50504 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5180,1120
2 | 5180, 1120 |
2 | 2590, 560 |
5 | 1295, 280 |
7 | 259, 56 |
37, 8 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 7 = 140
Factors of 5180
List of positive integer factors of 5180 that divides 5180 without a remainder.
1,2,4,5,7,10,14,20,28,35,37,70,74,140,148,185,259,370,518,740,1036,1295,2590,5180
Factors of 1120
List of positive integer factors of 1120 that divides 1120 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,70,80,112,140,160,224,280,560,1120
Greatest Common Factor
We found the factors 5180,1120 . The biggest common factor number is the GCF number.
So the greatest common factor 5180,1120 is 140.
Lets's calculate LCM of 59,856
Given numbers has no common factors except 1. So, there LCM is their product i.e 50504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 140/50504
Therefore, the GCF of Fractions 5180/59,1120/856 is 140/50504
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 59,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,856) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,856) x common factors =1 x 1 = 1
LCM(59,856) = ( 59 × 856 ) / 1
LCM(59,856) = 50504 / 1
LCM(59,856) = 50504
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 5180/59, 1120/856?
Answer: GCF of Numerators as per given numbers 5180/59, 1120/856 is
GCF of Numerators i.e. for 5180,1120 is 140
LCM of denominators i.e. for 59,856 is 50504.
Thus, GCF of Fractions is 140/50504.Finally, GCF of Fractions for 5180/59, 1120/856 is 140/50504.