Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9931/32,8664/757
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 9931,8664
Greatest Common Factor of Numerators i.e. GCF of 9931,8664 is 1 .
LCM of Denominators means LCM of 32,757 as per the given fractions.
LCM of 32,757 is 24224 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9931,8664
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9931
List of positive integer factors of 9931 that divides 9931 without a remainder.
1,9931
Factors of 8664
List of positive integer factors of 8664 that divides 8664 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,361,456,722,1083,1444,2166,2888,4332,8664
Greatest Common Factor
We found the factors 9931,8664 . The biggest common factor number is the GCF number.
So the greatest common factor 9931,8664 is 1.
Lets's calculate LCM of 32,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 24224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24224
Therefore, the GCF of Fractions 9931/32,8664/757 is 1/24224
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 32,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,757) x common factors =1 x 1 = 1
LCM(32,757) = ( 32 × 757 ) / 1
LCM(32,757) = 24224 / 1
LCM(32,757) = 24224
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 9931/32, 8664/757?
Answer: GCF of Numerators as per given numbers 9931/32, 8664/757 is
GCF of Numerators i.e. for 9931,8664 is 1
LCM of denominators i.e. for 32,757 is 24224.
Thus, GCF of Fractions is 1/24224.Finally, GCF of Fractions for 9931/32, 8664/757 is 1/24224.