Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/637,37/753,891/349
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 99,37,891
Greatest Common Factor of Numerators i.e. GCF of 99,37,891 is 1 .
LCM of Denominators means LCM of 637,753,349 as per the given fractions.
LCM of 637,753,349 is 167401689 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 99,37,891
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
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 99,37,891 . The biggest common factor number is the GCF number.
So the greatest common factor 99,37,891 is 1.
Lets's calculate LCM of 637,753,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 167401689
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167401689
Therefore, the GCF of Fractions 99/637,37/753,891/349 is 1/167401689
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 637,753,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,753,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,753,349) x common factors =1 x 1 = 1
LCM(637,753,349) = ( 637 × 753 × 349 ) / 1
LCM(637,753,349) = 167401689 / 1
LCM(637,753,349) = 167401689
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 99/637, 37/753, 891/349?
Answer: GCF of Numerators as per given numbers 99/637, 37/753, 891/349 is
GCF of Numerators i.e. for 99,37,891 is 1
LCM of denominators i.e. for 637,753,349 is 167401689.
Thus, GCF of Fractions is 1/167401689.Finally, GCF of Fractions for 99/637, 37/753, 891/349 is 1/167401689.