Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 789/225,2496/375
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 789,2496
Greatest Common Factor of Numerators i.e. GCF of 789,2496 is 3 .
LCM of Denominators means LCM of 225,375 as per the given fractions.
LCM of 225,375 is 1125 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 789,2496
3 | 789, 2496 |
263, 832 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Factors of 2496
List of positive integer factors of 2496 that divides 2496 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,156,192,208,312,416,624,832,1248,2496
Greatest Common Factor
We found the factors 789,2496 . The biggest common factor number is the GCF number.
So the greatest common factor 789,2496 is 3.
Lets's calculate LCM of 225,375
3 | 225, 375 |
5 | 75, 125 |
5 | 15, 25 |
3, 5 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 3 x 5 = 1125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1125
Therefore, the GCF of Fractions 789/225,2496/375 is 3/1125
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 225,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,375) = 75
common factors(in case of two or more numbers have common factors) = 1
GCF(225,375) x common factors =75 x 1 = 75
LCM(225,375) = ( 225 × 375 ) / 75
LCM(225,375) = 84375 / 75
LCM(225,375) = 1125
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 789/225, 2496/375?
Answer: GCF of Numerators as per given numbers 789/225, 2496/375 is
GCF of Numerators i.e. for 789,2496 is 3
LCM of denominators i.e. for 225,375 is 1125.
Thus, GCF of Fractions is 3/1125.Finally, GCF of Fractions for 789/225, 2496/375 is 3/1125.