Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 920/619,145/714
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 920,145
Greatest Common Factor of Numerators i.e. GCF of 920,145 is 5 .
LCM of Denominators means LCM of 619,714 as per the given fractions.
LCM of 619,714 is 441966 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 920,145
5 | 920, 145 |
184, 29 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Greatest Common Factor
We found the factors 920,145 . The biggest common factor number is the GCF number.
So the greatest common factor 920,145 is 5.
Lets's calculate LCM of 619,714
Given numbers has no common factors except 1. So, there LCM is their product i.e 441966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/441966
Therefore, the GCF of Fractions 920/619,145/714 is 5/441966
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 619,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,714) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,714) x common factors =1 x 1 = 1
LCM(619,714) = ( 619 × 714 ) / 1
LCM(619,714) = 441966 / 1
LCM(619,714) = 441966
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 920/619, 145/714?
Answer: GCF of Numerators as per given numbers 920/619, 145/714 is
GCF of Numerators i.e. for 920,145 is 5
LCM of denominators i.e. for 619,714 is 441966.
Thus, GCF of Fractions is 5/441966.Finally, GCF of Fractions for 920/619, 145/714 is 5/441966.