Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 157/87,8792/899
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 157,8792
Greatest Common Factor of Numerators i.e. GCF of 157,8792 is 157 .
LCM of Denominators means LCM of 87,899 as per the given fractions.
LCM of 87,899 is 2697 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 157,8792
157 | 157, 8792 |
1, 56 |
∴ So the GCF of the given numbers is 157 = 157
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Factors of 8792
List of positive integer factors of 8792 that divides 8792 without a remainder.
1,2,4,7,8,14,28,56,157,314,628,1099,1256,2198,4396,8792
Greatest Common Factor
We found the factors 157,8792 . The biggest common factor number is the GCF number.
So the greatest common factor 157,8792 is 157.
Lets's calculate LCM of 87,899
29 | 87, 899 |
3, 31 |
∴ So the LCM of the given numbers is 29 x 3 x 31 = 2697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 157/2697
Therefore, the GCF of Fractions 157/87,8792/899 is 157/2697
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 87,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,899) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(87,899) x common factors =29 x 1 = 29
LCM(87,899) = ( 87 × 899 ) / 29
LCM(87,899) = 78213 / 29
LCM(87,899) = 2697
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 157/87, 8792/899?
Answer: GCF of Numerators as per given numbers 157/87, 8792/899 is
GCF of Numerators i.e. for 157,8792 is 157
LCM of denominators i.e. for 87,899 is 2697.
Thus, GCF of Fractions is 157/2697.Finally, GCF of Fractions for 157/87, 8792/899 is 157/2697.