Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 252/779,5309/412
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 252,5309
Greatest Common Factor of Numerators i.e. GCF of 252,5309 is 1 .
LCM of Denominators means LCM of 779,412 as per the given fractions.
LCM of 779,412 is 320948 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 252,5309
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Factors of 5309
List of positive integer factors of 5309 that divides 5309 without a remainder.
1,5309
Greatest Common Factor
We found the factors 252,5309 . The biggest common factor number is the GCF number.
So the greatest common factor 252,5309 is 1.
Lets's calculate LCM of 779,412
Given numbers has no common factors except 1. So, there LCM is their product i.e 320948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/320948
Therefore, the GCF of Fractions 252/779,5309/412 is 1/320948
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 779,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,412) x common factors =1 x 1 = 1
LCM(779,412) = ( 779 × 412 ) / 1
LCM(779,412) = 320948 / 1
LCM(779,412) = 320948
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 252/779, 5309/412?
Answer: GCF of Numerators as per given numbers 252/779, 5309/412 is
GCF of Numerators i.e. for 252,5309 is 1
LCM of denominators i.e. for 779,412 is 320948.
Thus, GCF of Fractions is 1/320948.Finally, GCF of Fractions for 252/779, 5309/412 is 1/320948.