Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 597/99,707/62,891/836
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 597,707,891
Greatest Common Factor of Numerators i.e. GCF of 597,707,891 is 1 .
LCM of Denominators means LCM of 99,62,836 as per the given fractions.
LCM of 99,62,836 is 233244 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 597,707,891
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 597,707,891 . The biggest common factor number is the GCF number.
So the greatest common factor 597,707,891 is 1.
Lets's calculate LCM of 99,62,836
2 | 99, 62, 836 |
11 | 99, 31, 418 |
9, 31, 38 |
∴ So the LCM of the given numbers is 2 x 11 x 9 x 31 x 38 = 233244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233244
Therefore, the GCF of Fractions 597/99,707/62,891/836 is 1/233244
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 99,62,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,62,836) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(99,62,836) x common factors =1 x 22 = 22
LCM(99,62,836) = ( 99 × 62 × 836 ) / 22
LCM(99,62,836) = 5131368 / 22
LCM(99,62,836) = 233244
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 597/99, 707/62, 891/836?
Answer: GCF of Numerators as per given numbers 597/99, 707/62, 891/836 is
GCF of Numerators i.e. for 597,707,891 is 1
LCM of denominators i.e. for 99,62,836 is 233244.
Thus, GCF of Fractions is 1/233244.Finally, GCF of Fractions for 597/99, 707/62, 891/836 is 1/233244.