Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 681/70,495/15,298/808
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 681,495,298
Greatest Common Factor of Numerators i.e. GCF of 681,495,298 is 1 .
LCM of Denominators means LCM of 70,15,808 as per the given fractions.
LCM of 70,15,808 is 84840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 681,495,298
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Greatest Common Factor
We found the factors 681,495,298 . The biggest common factor number is the GCF number.
So the greatest common factor 681,495,298 is 1.
Lets's calculate LCM of 70,15,808
2 | 70, 15, 808 |
5 | 35, 15, 404 |
7, 3, 404 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 3 x 404 = 84840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84840
Therefore, the GCF of Fractions 681/70,495/15,298/808 is 1/84840
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 70,15,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,15,808) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(70,15,808) x common factors =1 x 10 = 10
LCM(70,15,808) = ( 70 × 15 × 808 ) / 10
LCM(70,15,808) = 848400 / 10
LCM(70,15,808) = 84840
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 681/70, 495/15, 298/808?
Answer: GCF of Numerators as per given numbers 681/70, 495/15, 298/808 is
GCF of Numerators i.e. for 681,495,298 is 1
LCM of denominators i.e. for 70,15,808 is 84840.
Thus, GCF of Fractions is 1/84840.Finally, GCF of Fractions for 681/70, 495/15, 298/808 is 1/84840.