Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 875/7750,750/2517
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 875,750
Greatest Common Factor of Numerators i.e. GCF of 875,750 is 125 .
LCM of Denominators means LCM of 7750,2517 as per the given fractions.
LCM of 7750,2517 is 19506750 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 875,750
5 | 875, 750 |
5 | 175, 150 |
5 | 35, 30 |
7, 6 |
∴ So the GCF of the given numbers is 5 x 5 x 5 = 125
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 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Greatest Common Factor
We found the factors 875,750 . The biggest common factor number is the GCF number.
So the greatest common factor 875,750 is 125.
Lets's calculate LCM of 7750,2517
Given numbers has no common factors except 1. So, there LCM is their product i.e 19506750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 125/19506750
Therefore, the GCF of Fractions 875/7750,750/2517 is 125/19506750
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 7750,2517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7750,2517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7750,2517) x common factors =1 x 1 = 1
LCM(7750,2517) = ( 7750 × 2517 ) / 1
LCM(7750,2517) = 19506750 / 1
LCM(7750,2517) = 19506750
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 875/7750, 750/2517?
Answer: GCF of Numerators as per given numbers 875/7750, 750/2517 is
GCF of Numerators i.e. for 875,750 is 125
LCM of denominators i.e. for 7750,2517 is 19506750.
Thus, GCF of Fractions is 125/19506750.Finally, GCF of Fractions for 875/7750, 750/2517 is 125/19506750.