Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 554/86,635/99,676/994
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 554,635,676
Greatest Common Factor of Numerators i.e. GCF of 554,635,676 is 1 .
LCM of Denominators means LCM of 86,99,994 as per the given fractions.
LCM of 86,99,994 is 4231458 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 554,635,676
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 554,635,676 . The biggest common factor number is the GCF number.
So the greatest common factor 554,635,676 is 1.
Lets's calculate LCM of 86,99,994
2 | 86, 99, 994 |
43, 99, 497 |
∴ So the LCM of the given numbers is 2 x 43 x 99 x 497 = 4231458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4231458
Therefore, the GCF of Fractions 554/86,635/99,676/994 is 1/4231458
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 86,99,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,99,994) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(86,99,994) x common factors =1 x 2 = 2
LCM(86,99,994) = ( 86 × 99 × 994 ) / 2
LCM(86,99,994) = 8462916 / 2
LCM(86,99,994) = 4231458
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 554/86, 635/99, 676/994?
Answer: GCF of Numerators as per given numbers 554/86, 635/99, 676/994 is
GCF of Numerators i.e. for 554,635,676 is 1
LCM of denominators i.e. for 86,99,994 is 4231458.
Thus, GCF of Fractions is 1/4231458.Finally, GCF of Fractions for 554/86, 635/99, 676/994 is 1/4231458.