Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4234/486,7237/5224
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 4234,7237
Greatest Common Factor of Numerators i.e. GCF of 4234,7237 is 1 .
LCM of Denominators means LCM of 486,5224 as per the given fractions.
LCM of 486,5224 is 1269432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4234,7237
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4234
List of positive integer factors of 4234 that divides 4234 without a remainder.
1,2,29,58,73,146,2117,4234
Factors of 7237
List of positive integer factors of 7237 that divides 7237 without a remainder.
1,7237
Greatest Common Factor
We found the factors 4234,7237 . The biggest common factor number is the GCF number.
So the greatest common factor 4234,7237 is 1.
Lets's calculate LCM of 486,5224
2 | 486, 5224 |
243, 2612 |
∴ So the LCM of the given numbers is 2 x 243 x 2612 = 1269432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1269432
Therefore, the GCF of Fractions 4234/486,7237/5224 is 1/1269432
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 486,5224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,5224) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(486,5224) x common factors =2 x 1 = 2
LCM(486,5224) = ( 486 × 5224 ) / 2
LCM(486,5224) = 2538864 / 2
LCM(486,5224) = 1269432
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 4234/486, 7237/5224?
Answer: GCF of Numerators as per given numbers 4234/486, 7237/5224 is
GCF of Numerators i.e. for 4234,7237 is 1
LCM of denominators i.e. for 486,5224 is 1269432.
Thus, GCF of Fractions is 1/1269432.Finally, GCF of Fractions for 4234/486, 7237/5224 is 1/1269432.