Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/902,5137/6910
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 86,5137
Greatest Common Factor of Numerators i.e. GCF of 86,5137 is 1 .
LCM of Denominators means LCM of 902,6910 as per the given fractions.
LCM of 902,6910 is 3116410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,5137
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 5137
List of positive integer factors of 5137 that divides 5137 without a remainder.
1,11,467,5137
Greatest Common Factor
We found the factors 86,5137 . The biggest common factor number is the GCF number.
So the greatest common factor 86,5137 is 1.
Lets's calculate LCM of 902,6910
2 | 902, 6910 |
451, 3455 |
∴ So the LCM of the given numbers is 2 x 451 x 3455 = 3116410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3116410
Therefore, the GCF of Fractions 86/902,5137/6910 is 1/3116410
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 902,6910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,6910) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,6910) x common factors =2 x 1 = 2
LCM(902,6910) = ( 902 × 6910 ) / 2
LCM(902,6910) = 6232820 / 2
LCM(902,6910) = 3116410
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 86/902, 5137/6910?
Answer: GCF of Numerators as per given numbers 86/902, 5137/6910 is
GCF of Numerators i.e. for 86,5137 is 1
LCM of denominators i.e. for 902,6910 is 3116410.
Thus, GCF of Fractions is 1/3116410.Finally, GCF of Fractions for 86/902, 5137/6910 is 1/3116410.