Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5485/764,7125/7224
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 5485,7125
Greatest Common Factor of Numerators i.e. GCF of 5485,7125 is 5 .
LCM of Denominators means LCM of 764,7224 as per the given fractions.
LCM of 764,7224 is 1379784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5485,7125
5 | 5485, 7125 |
1097, 1425 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 5485
List of positive integer factors of 5485 that divides 5485 without a remainder.
1,5,1097,5485
Factors of 7125
List of positive integer factors of 7125 that divides 7125 without a remainder.
1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125
Greatest Common Factor
We found the factors 5485,7125 . The biggest common factor number is the GCF number.
So the greatest common factor 5485,7125 is 5.
Lets's calculate LCM of 764,7224
2 | 764, 7224 |
2 | 382, 3612 |
191, 1806 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 1806 = 1379784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1379784
Therefore, the GCF of Fractions 5485/764,7125/7224 is 5/1379784
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 764,7224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,7224) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(764,7224) x common factors =4 x 1 = 4
LCM(764,7224) = ( 764 × 7224 ) / 4
LCM(764,7224) = 5519136 / 4
LCM(764,7224) = 1379784
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 5485/764, 7125/7224?
Answer: GCF of Numerators as per given numbers 5485/764, 7125/7224 is
GCF of Numerators i.e. for 5485,7125 is 5
LCM of denominators i.e. for 764,7224 is 1379784.
Thus, GCF of Fractions is 5/1379784.Finally, GCF of Fractions for 5485/764, 7125/7224 is 5/1379784.