Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 85/801,836/571,994/428
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 85,836,994
Greatest Common Factor of Numerators i.e. GCF of 85,836,994 is 1 .
LCM of Denominators means LCM of 801,571,428 as per the given fractions.
LCM of 801,571,428 is 195754788 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 85,836,994
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 85,836,994 . The biggest common factor number is the GCF number.
So the greatest common factor 85,836,994 is 1.
Lets's calculate LCM of 801,571,428
Given numbers has no common factors except 1. So, there LCM is their product i.e 195754788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195754788
Therefore, the GCF of Fractions 85/801,836/571,994/428 is 1/195754788
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 801,571,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,571,428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(801,571,428) x common factors =1 x 1 = 1
LCM(801,571,428) = ( 801 × 571 × 428 ) / 1
LCM(801,571,428) = 195754788 / 1
LCM(801,571,428) = 195754788
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 85/801, 836/571, 994/428?
Answer: GCF of Numerators as per given numbers 85/801, 836/571, 994/428 is
GCF of Numerators i.e. for 85,836,994 is 1
LCM of denominators i.e. for 801,571,428 is 195754788.
Thus, GCF of Fractions is 1/195754788.Finally, GCF of Fractions for 85/801, 836/571, 994/428 is 1/195754788.