Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 448/77,534/50,387/829
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 448,534,387
Greatest Common Factor of Numerators i.e. GCF of 448,534,387 is 1 .
LCM of Denominators means LCM of 77,50,829 as per the given fractions.
LCM of 77,50,829 is 3191650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 448,534,387
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 448,534,387 . The biggest common factor number is the GCF number.
So the greatest common factor 448,534,387 is 1.
Lets's calculate LCM of 77,50,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 3191650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3191650
Therefore, the GCF of Fractions 448/77,534/50,387/829 is 1/3191650
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 77,50,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,50,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,50,829) x common factors =1 x 1 = 1
LCM(77,50,829) = ( 77 × 50 × 829 ) / 1
LCM(77,50,829) = 3191650 / 1
LCM(77,50,829) = 3191650
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 448/77, 534/50, 387/829?
Answer: GCF of Numerators as per given numbers 448/77, 534/50, 387/829 is
GCF of Numerators i.e. for 448,534,387 is 1
LCM of denominators i.e. for 77,50,829 is 3191650.
Thus, GCF of Fractions is 1/3191650.Finally, GCF of Fractions for 448/77, 534/50, 387/829 is 1/3191650.