Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 887/42,2158/795
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 887,2158
Greatest Common Factor of Numerators i.e. GCF of 887,2158 is 1 .
LCM of Denominators means LCM of 42,795 as per the given fractions.
LCM of 42,795 is 11130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 887,2158
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Factors of 2158
List of positive integer factors of 2158 that divides 2158 without a remainder.
1,2,13,26,83,166,1079,2158
Greatest Common Factor
We found the factors 887,2158 . The biggest common factor number is the GCF number.
So the greatest common factor 887,2158 is 1.
Lets's calculate LCM of 42,795
3 | 42, 795 |
14, 265 |
∴ So the LCM of the given numbers is 3 x 14 x 265 = 11130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11130
Therefore, the GCF of Fractions 887/42,2158/795 is 1/11130
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 42,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,795) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(42,795) x common factors =3 x 1 = 3
LCM(42,795) = ( 42 × 795 ) / 3
LCM(42,795) = 33390 / 3
LCM(42,795) = 11130
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 887/42, 2158/795?
Answer: GCF of Numerators as per given numbers 887/42, 2158/795 is
GCF of Numerators i.e. for 887,2158 is 1
LCM of denominators i.e. for 42,795 is 11130.
Thus, GCF of Fractions is 1/11130.Finally, GCF of Fractions for 887/42, 2158/795 is 1/11130.