Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/881,4431/7020
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 69,4431
Greatest Common Factor of Numerators i.e. GCF of 69,4431 is 3 .
LCM of Denominators means LCM of 881,7020 as per the given fractions.
LCM of 881,7020 is 6184620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 69,4431
3 | 69, 4431 |
23, 1477 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 4431
List of positive integer factors of 4431 that divides 4431 without a remainder.
1,3,7,21,211,633,1477,4431
Greatest Common Factor
We found the factors 69,4431 . The biggest common factor number is the GCF number.
So the greatest common factor 69,4431 is 3.
Lets's calculate LCM of 881,7020
Given numbers has no common factors except 1. So, there LCM is their product i.e 6184620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6184620
Therefore, the GCF of Fractions 69/881,4431/7020 is 3/6184620
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 881,7020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,7020) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,7020) x common factors =1 x 1 = 1
LCM(881,7020) = ( 881 × 7020 ) / 1
LCM(881,7020) = 6184620 / 1
LCM(881,7020) = 6184620
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 69/881, 4431/7020?
Answer: GCF of Numerators as per given numbers 69/881, 4431/7020 is
GCF of Numerators i.e. for 69,4431 is 3
LCM of denominators i.e. for 881,7020 is 6184620.
Thus, GCF of Fractions is 3/6184620.Finally, GCF of Fractions for 69/881, 4431/7020 is 3/6184620.