Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/375,75/688
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 50,75
Greatest Common Factor of Numerators i.e. GCF of 50,75 is 25 .
LCM of Denominators means LCM of 375,688 as per the given fractions.
LCM of 375,688 is 258000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,75
5 | 50, 75 |
5 | 10, 15 |
2, 3 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Greatest Common Factor
We found the factors 50,75 . The biggest common factor number is the GCF number.
So the greatest common factor 50,75 is 25.
Lets's calculate LCM of 375,688
Given numbers has no common factors except 1. So, there LCM is their product i.e 258000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/258000
Therefore, the GCF of Fractions 50/375,75/688 is 25/258000
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 375,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,688) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(375,688) x common factors =1 x 1 = 1
LCM(375,688) = ( 375 × 688 ) / 1
LCM(375,688) = 258000 / 1
LCM(375,688) = 258000
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 50/375, 75/688?
Answer: GCF of Numerators as per given numbers 50/375, 75/688 is
GCF of Numerators i.e. for 50,75 is 25
LCM of denominators i.e. for 375,688 is 258000.
Thus, GCF of Fractions is 25/258000.Finally, GCF of Fractions for 50/375, 75/688 is 25/258000.