Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 412/85,180/6374
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 412,180
Greatest Common Factor of Numerators i.e. GCF of 412,180 is 4 .
LCM of Denominators means LCM of 85,6374 as per the given fractions.
LCM of 85,6374 is 541790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 412,180
2 | 412, 180 |
2 | 206, 90 |
103, 45 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Greatest Common Factor
We found the factors 412,180 . The biggest common factor number is the GCF number.
So the greatest common factor 412,180 is 4.
Lets's calculate LCM of 85,6374
Given numbers has no common factors except 1. So, there LCM is their product i.e 541790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/541790
Therefore, the GCF of Fractions 412/85,180/6374 is 4/541790
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 85,6374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,6374) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,6374) x common factors =1 x 1 = 1
LCM(85,6374) = ( 85 × 6374 ) / 1
LCM(85,6374) = 541790 / 1
LCM(85,6374) = 541790
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 412/85, 180/6374?
Answer: GCF of Numerators as per given numbers 412/85, 180/6374 is
GCF of Numerators i.e. for 412,180 is 4
LCM of denominators i.e. for 85,6374 is 541790.
Thus, GCF of Fractions is 4/541790.Finally, GCF of Fractions for 412/85, 180/6374 is 4/541790.