Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/807,115/431,532/649
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 88,115,532
Greatest Common Factor of Numerators i.e. GCF of 88,115,532 is 1 .
LCM of Denominators means LCM of 807,431,649 as per the given fractions.
LCM of 807,431,649 is 225733233 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,115,532
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 88,115,532 . The biggest common factor number is the GCF number.
So the greatest common factor 88,115,532 is 1.
Lets's calculate LCM of 807,431,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 225733233
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225733233
Therefore, the GCF of Fractions 88/807,115/431,532/649 is 1/225733233
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 807,431,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,431,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,431,649) x common factors =1 x 1 = 1
LCM(807,431,649) = ( 807 × 431 × 649 ) / 1
LCM(807,431,649) = 225733233 / 1
LCM(807,431,649) = 225733233
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 88/807, 115/431, 532/649?
Answer: GCF of Numerators as per given numbers 88/807, 115/431, 532/649 is
GCF of Numerators i.e. for 88,115,532 is 1
LCM of denominators i.e. for 807,431,649 is 225733233.
Thus, GCF of Fractions is 1/225733233.Finally, GCF of Fractions for 88/807, 115/431, 532/649 is 1/225733233.