Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 881/67,458/50,547/495
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 881,458,547
Greatest Common Factor of Numerators i.e. GCF of 881,458,547 is 1 .
LCM of Denominators means LCM of 67,50,495 as per the given fractions.
LCM of 67,50,495 is 331650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 881,458,547
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Greatest Common Factor
We found the factors 881,458,547 . The biggest common factor number is the GCF number.
So the greatest common factor 881,458,547 is 1.
Lets's calculate LCM of 67,50,495
5 | 67, 50, 495 |
67, 10, 99 |
∴ So the LCM of the given numbers is 5 x 67 x 10 x 99 = 331650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331650
Therefore, the GCF of Fractions 881/67,458/50,547/495 is 1/331650
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 67,50,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,50,495) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(67,50,495) x common factors =1 x 5 = 5
LCM(67,50,495) = ( 67 × 50 × 495 ) / 5
LCM(67,50,495) = 1658250 / 5
LCM(67,50,495) = 331650
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 881/67, 458/50, 547/495?
Answer: GCF of Numerators as per given numbers 881/67, 458/50, 547/495 is
GCF of Numerators i.e. for 881,458,547 is 1
LCM of denominators i.e. for 67,50,495 is 331650.
Thus, GCF of Fractions is 1/331650.Finally, GCF of Fractions for 881/67, 458/50, 547/495 is 1/331650.