Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 764/48,5772/925
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 764,5772
Greatest Common Factor of Numerators i.e. GCF of 764,5772 is 4 .
LCM of Denominators means LCM of 48,925 as per the given fractions.
LCM of 48,925 is 44400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 764,5772
2 | 764, 5772 |
2 | 382, 2886 |
191, 1443 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 5772
List of positive integer factors of 5772 that divides 5772 without a remainder.
1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772
Greatest Common Factor
We found the factors 764,5772 . The biggest common factor number is the GCF number.
So the greatest common factor 764,5772 is 4.
Lets's calculate LCM of 48,925
Given numbers has no common factors except 1. So, there LCM is their product i.e 44400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/44400
Therefore, the GCF of Fractions 764/48,5772/925 is 4/44400
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 48,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(48,925) x common factors =1 x 1 = 1
LCM(48,925) = ( 48 × 925 ) / 1
LCM(48,925) = 44400 / 1
LCM(48,925) = 44400
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 764/48, 5772/925?
Answer: GCF of Numerators as per given numbers 764/48, 5772/925 is
GCF of Numerators i.e. for 764,5772 is 4
LCM of denominators i.e. for 48,925 is 44400.
Thus, GCF of Fractions is 4/44400.Finally, GCF of Fractions for 764/48, 5772/925 is 4/44400.