Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4781/892,5235/2588
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 4781,5235
Greatest Common Factor of Numerators i.e. GCF of 4781,5235 is 1 .
LCM of Denominators means LCM of 892,2588 as per the given fractions.
LCM of 892,2588 is 577124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4781,5235
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4781
List of positive integer factors of 4781 that divides 4781 without a remainder.
1,7,683,4781
Factors of 5235
List of positive integer factors of 5235 that divides 5235 without a remainder.
1,3,5,15,349,1047,1745,5235
Greatest Common Factor
We found the factors 4781,5235 . The biggest common factor number is the GCF number.
So the greatest common factor 4781,5235 is 1.
Lets's calculate LCM of 892,2588
2 | 892, 2588 |
2 | 446, 1294 |
223, 647 |
∴ So the LCM of the given numbers is 2 x 2 x 223 x 647 = 577124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/577124
Therefore, the GCF of Fractions 4781/892,5235/2588 is 1/577124
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 892,2588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,2588) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(892,2588) x common factors =4 x 1 = 4
LCM(892,2588) = ( 892 × 2588 ) / 4
LCM(892,2588) = 2308496 / 4
LCM(892,2588) = 577124
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 4781/892, 5235/2588?
Answer: GCF of Numerators as per given numbers 4781/892, 5235/2588 is
GCF of Numerators i.e. for 4781,5235 is 1
LCM of denominators i.e. for 892,2588 is 577124.
Thus, GCF of Fractions is 1/577124.Finally, GCF of Fractions for 4781/892, 5235/2588 is 1/577124.