Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5180/719,9704/798
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 5180,9704
Greatest Common Factor of Numerators i.e. GCF of 5180,9704 is 4 .
LCM of Denominators means LCM of 719,798 as per the given fractions.
LCM of 719,798 is 573762 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5180,9704
2 | 5180, 9704 |
2 | 2590, 4852 |
1295, 2426 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 9704
List of positive integer factors of 9704 that divides 9704 without a remainder.
1,2,4,8,1213,2426,4852,9704
Greatest Common Factor
We found the factors 5180,9704 . The biggest common factor number is the GCF number.
So the greatest common factor 5180,9704 is 4.
Lets's calculate LCM of 719,798
Given numbers has no common factors except 1. So, there LCM is their product i.e 573762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/573762
Therefore, the GCF of Fractions 5180/719,9704/798 is 4/573762
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 719,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,798) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,798) x common factors =1 x 1 = 1
LCM(719,798) = ( 719 × 798 ) / 1
LCM(719,798) = 573762 / 1
LCM(719,798) = 573762
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 5180/719, 9704/798?
Answer: GCF of Numerators as per given numbers 5180/719, 9704/798 is
GCF of Numerators i.e. for 5180,9704 is 4
LCM of denominators i.e. for 719,798 is 573762.
Thus, GCF of Fractions is 4/573762.Finally, GCF of Fractions for 5180/719, 9704/798 is 4/573762.