Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7962/296,5072/474
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 7962,5072
Greatest Common Factor of Numerators i.e. GCF of 7962,5072 is 2 .
LCM of Denominators means LCM of 296,474 as per the given fractions.
LCM of 296,474 is 70152 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7962,5072
2 | 7962, 5072 |
3981, 2536 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7962
List of positive integer factors of 7962 that divides 7962 without a remainder.
1,2,3,6,1327,2654,3981,7962
Factors of 5072
List of positive integer factors of 5072 that divides 5072 without a remainder.
1,2,4,8,16,317,634,1268,2536,5072
Greatest Common Factor
We found the factors 7962,5072 . The biggest common factor number is the GCF number.
So the greatest common factor 7962,5072 is 2.
Lets's calculate LCM of 296,474
2 | 296, 474 |
148, 237 |
∴ So the LCM of the given numbers is 2 x 148 x 237 = 70152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70152
Therefore, the GCF of Fractions 7962/296,5072/474 is 2/70152
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 296,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,474) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(296,474) x common factors =2 x 1 = 2
LCM(296,474) = ( 296 × 474 ) / 2
LCM(296,474) = 140304 / 2
LCM(296,474) = 70152
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 7962/296, 5072/474?
Answer: GCF of Numerators as per given numbers 7962/296, 5072/474 is
GCF of Numerators i.e. for 7962,5072 is 2
LCM of denominators i.e. for 296,474 is 70152.
Thus, GCF of Fractions is 2/70152.Finally, GCF of Fractions for 7962/296, 5072/474 is 2/70152.