Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 439/802,7545/252
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 439,7545
Greatest Common Factor of Numerators i.e. GCF of 439,7545 is 1 .
LCM of Denominators means LCM of 802,252 as per the given fractions.
LCM of 802,252 is 101052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 439,7545
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Factors of 7545
List of positive integer factors of 7545 that divides 7545 without a remainder.
1,3,5,15,503,1509,2515,7545
Greatest Common Factor
We found the factors 439,7545 . The biggest common factor number is the GCF number.
So the greatest common factor 439,7545 is 1.
Lets's calculate LCM of 802,252
2 | 802, 252 |
401, 126 |
∴ So the LCM of the given numbers is 2 x 401 x 126 = 101052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101052
Therefore, the GCF of Fractions 439/802,7545/252 is 1/101052
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 802,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,252) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,252) x common factors =2 x 1 = 2
LCM(802,252) = ( 802 × 252 ) / 2
LCM(802,252) = 202104 / 2
LCM(802,252) = 101052
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 439/802, 7545/252?
Answer: GCF of Numerators as per given numbers 439/802, 7545/252 is
GCF of Numerators i.e. for 439,7545 is 1
LCM of denominators i.e. for 802,252 is 101052.
Thus, GCF of Fractions is 1/101052.Finally, GCF of Fractions for 439/802, 7545/252 is 1/101052.