Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7648/30,2534/283
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 7648,2534
Greatest Common Factor of Numerators i.e. GCF of 7648,2534 is 2 .
LCM of Denominators means LCM of 30,283 as per the given fractions.
LCM of 30,283 is 8490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7648,2534
2 | 7648, 2534 |
3824, 1267 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7648
List of positive integer factors of 7648 that divides 7648 without a remainder.
1,2,4,8,16,32,239,478,956,1912,3824,7648
Factors of 2534
List of positive integer factors of 2534 that divides 2534 without a remainder.
1,2,7,14,181,362,1267,2534
Greatest Common Factor
We found the factors 7648,2534 . The biggest common factor number is the GCF number.
So the greatest common factor 7648,2534 is 2.
Lets's calculate LCM of 30,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 8490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8490
Therefore, the GCF of Fractions 7648/30,2534/283 is 2/8490
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 30,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(30,283) x common factors =1 x 1 = 1
LCM(30,283) = ( 30 × 283 ) / 1
LCM(30,283) = 8490 / 1
LCM(30,283) = 8490
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 7648/30, 2534/283?
Answer: GCF of Numerators as per given numbers 7648/30, 2534/283 is
GCF of Numerators i.e. for 7648,2534 is 2
LCM of denominators i.e. for 30,283 is 8490.
Thus, GCF of Fractions is 2/8490.Finally, GCF of Fractions for 7648/30, 2534/283 is 2/8490.