Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7238/558,5049/929
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 7238,5049
Greatest Common Factor of Numerators i.e. GCF of 7238,5049 is 11 .
LCM of Denominators means LCM of 558,929 as per the given fractions.
LCM of 558,929 is 518382 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7238,5049
11 | 7238, 5049 |
658, 459 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 7238
List of positive integer factors of 7238 that divides 7238 without a remainder.
1,2,7,11,14,22,47,77,94,154,329,517,658,1034,3619,7238
Factors of 5049
List of positive integer factors of 5049 that divides 5049 without a remainder.
1,3,9,11,17,27,33,51,99,153,187,297,459,561,1683,5049
Greatest Common Factor
We found the factors 7238,5049 . The biggest common factor number is the GCF number.
So the greatest common factor 7238,5049 is 11.
Lets's calculate LCM of 558,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 518382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/518382
Therefore, the GCF of Fractions 7238/558,5049/929 is 11/518382
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 558,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(558,929) x common factors =1 x 1 = 1
LCM(558,929) = ( 558 × 929 ) / 1
LCM(558,929) = 518382 / 1
LCM(558,929) = 518382
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 7238/558, 5049/929?
Answer: GCF of Numerators as per given numbers 7238/558, 5049/929 is
GCF of Numerators i.e. for 7238,5049 is 11
LCM of denominators i.e. for 558,929 is 518382.
Thus, GCF of Fractions is 11/518382.Finally, GCF of Fractions for 7238/558, 5049/929 is 11/518382.