Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 832/139,8007/800
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 832,8007
Greatest Common Factor of Numerators i.e. GCF of 832,8007 is 1 .
LCM of Denominators means LCM of 139,800 as per the given fractions.
LCM of 139,800 is 111200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 832,8007
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 8007
List of positive integer factors of 8007 that divides 8007 without a remainder.
1,3,17,51,157,471,2669,8007
Greatest Common Factor
We found the factors 832,8007 . The biggest common factor number is the GCF number.
So the greatest common factor 832,8007 is 1.
Lets's calculate LCM of 139,800
Given numbers has no common factors except 1. So, there LCM is their product i.e 111200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111200
Therefore, the GCF of Fractions 832/139,8007/800 is 1/111200
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 139,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,800) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,800) x common factors =1 x 1 = 1
LCM(139,800) = ( 139 × 800 ) / 1
LCM(139,800) = 111200 / 1
LCM(139,800) = 111200
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 832/139, 8007/800?
Answer: GCF of Numerators as per given numbers 832/139, 8007/800 is
GCF of Numerators i.e. for 832,8007 is 1
LCM of denominators i.e. for 139,800 is 111200.
Thus, GCF of Fractions is 1/111200.Finally, GCF of Fractions for 832/139, 8007/800 is 1/111200.