Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7128/125,1171/842
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 7128,1171
Greatest Common Factor of Numerators i.e. GCF of 7128,1171 is 1 .
LCM of Denominators means LCM of 125,842 as per the given fractions.
LCM of 125,842 is 105250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7128,1171
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7128
List of positive integer factors of 7128 that divides 7128 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,81,88,99,108,132,162,198,216,264,297,324,396,594,648,792,891,1188,1782,2376,3564,7128
Factors of 1171
List of positive integer factors of 1171 that divides 1171 without a remainder.
1,1171
Greatest Common Factor
We found the factors 7128,1171 . The biggest common factor number is the GCF number.
So the greatest common factor 7128,1171 is 1.
Lets's calculate LCM of 125,842
Given numbers has no common factors except 1. So, there LCM is their product i.e 105250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105250
Therefore, the GCF of Fractions 7128/125,1171/842 is 1/105250
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 125,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,842) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,842) x common factors =1 x 1 = 1
LCM(125,842) = ( 125 × 842 ) / 1
LCM(125,842) = 105250 / 1
LCM(125,842) = 105250
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 7128/125, 1171/842?
Answer: GCF of Numerators as per given numbers 7128/125, 1171/842 is
GCF of Numerators i.e. for 7128,1171 is 1
LCM of denominators i.e. for 125,842 is 105250.
Thus, GCF of Fractions is 1/105250.Finally, GCF of Fractions for 7128/125, 1171/842 is 1/105250.