Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4079/50,5580/651
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 4079,5580
Greatest Common Factor of Numerators i.e. GCF of 4079,5580 is 1 .
LCM of Denominators means LCM of 50,651 as per the given fractions.
LCM of 50,651 is 32550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4079,5580
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4079
List of positive integer factors of 4079 that divides 4079 without a remainder.
1,4079
Factors of 5580
List of positive integer factors of 5580 that divides 5580 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,31,36,45,60,62,90,93,124,155,180,186,279,310,372,465,558,620,930,1116,1395,1860,2790,5580
Greatest Common Factor
We found the factors 4079,5580 . The biggest common factor number is the GCF number.
So the greatest common factor 4079,5580 is 1.
Lets's calculate LCM of 50,651
Given numbers has no common factors except 1. So, there LCM is their product i.e 32550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32550
Therefore, the GCF of Fractions 4079/50,5580/651 is 1/32550
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 50,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,651) x common factors =1 x 1 = 1
LCM(50,651) = ( 50 × 651 ) / 1
LCM(50,651) = 32550 / 1
LCM(50,651) = 32550
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 4079/50, 5580/651?
Answer: GCF of Numerators as per given numbers 4079/50, 5580/651 is
GCF of Numerators i.e. for 4079,5580 is 1
LCM of denominators i.e. for 50,651 is 32550.
Thus, GCF of Fractions is 1/32550.Finally, GCF of Fractions for 4079/50, 5580/651 is 1/32550.