Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/765,7440/5098
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 20,7440
Greatest Common Factor of Numerators i.e. GCF of 20,7440 is 20 .
LCM of Denominators means LCM of 765,5098 as per the given fractions.
LCM of 765,5098 is 3899970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 20,7440
2 | 20, 7440 |
2 | 10, 3720 |
5 | 5, 1860 |
1, 372 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 7440
List of positive integer factors of 7440 that divides 7440 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,31,40,48,60,62,80,93,120,124,155,186,240,248,310,372,465,496,620,744,930,1240,1488,1860,2480,3720,7440
Greatest Common Factor
We found the factors 20,7440 . The biggest common factor number is the GCF number.
So the greatest common factor 20,7440 is 20.
Lets's calculate LCM of 765,5098
Given numbers has no common factors except 1. So, there LCM is their product i.e 3899970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/3899970
Therefore, the GCF of Fractions 20/765,7440/5098 is 20/3899970
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 765,5098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,5098) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(765,5098) x common factors =1 x 1 = 1
LCM(765,5098) = ( 765 × 5098 ) / 1
LCM(765,5098) = 3899970 / 1
LCM(765,5098) = 3899970
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 20/765, 7440/5098?
Answer: GCF of Numerators as per given numbers 20/765, 7440/5098 is
GCF of Numerators i.e. for 20,7440 is 20
LCM of denominators i.e. for 765,5098 is 3899970.
Thus, GCF of Fractions is 20/3899970.Finally, GCF of Fractions for 20/765, 7440/5098 is 20/3899970.