Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 875/10,950/935
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 875,950
Greatest Common Factor of Numerators i.e. GCF of 875,950 is 25 .
LCM of Denominators means LCM of 10,935 as per the given fractions.
LCM of 10,935 is 1870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 875,950
5 | 875, 950 |
5 | 175, 190 |
35, 38 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 875,950 . The biggest common factor number is the GCF number.
So the greatest common factor 875,950 is 25.
Lets's calculate LCM of 10,935
5 | 10, 935 |
2, 187 |
∴ So the LCM of the given numbers is 5 x 2 x 187 = 1870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1870
Therefore, the GCF of Fractions 875/10,950/935 is 25/1870
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 10,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,935) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(10,935) x common factors =5 x 1 = 5
LCM(10,935) = ( 10 × 935 ) / 5
LCM(10,935) = 9350 / 5
LCM(10,935) = 1870
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 875/10, 950/935?
Answer: GCF of Numerators as per given numbers 875/10, 950/935 is
GCF of Numerators i.e. for 875,950 is 25
LCM of denominators i.e. for 10,935 is 1870.
Thus, GCF of Fractions is 25/1870.Finally, GCF of Fractions for 875/10, 950/935 is 25/1870.