Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5288/121,6907/167
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 5288,6907
Greatest Common Factor of Numerators i.e. GCF of 5288,6907 is 1 .
LCM of Denominators means LCM of 121,167 as per the given fractions.
LCM of 121,167 is 20207 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5288,6907
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5288
List of positive integer factors of 5288 that divides 5288 without a remainder.
1,2,4,8,661,1322,2644,5288
Factors of 6907
List of positive integer factors of 6907 that divides 6907 without a remainder.
1,6907
Greatest Common Factor
We found the factors 5288,6907 . The biggest common factor number is the GCF number.
So the greatest common factor 5288,6907 is 1.
Lets's calculate LCM of 121,167
Given numbers has no common factors except 1. So, there LCM is their product i.e 20207
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20207
Therefore, the GCF of Fractions 5288/121,6907/167 is 1/20207
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 121,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,167) x common factors =1 x 1 = 1
LCM(121,167) = ( 121 × 167 ) / 1
LCM(121,167) = 20207 / 1
LCM(121,167) = 20207
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 5288/121, 6907/167?
Answer: GCF of Numerators as per given numbers 5288/121, 6907/167 is
GCF of Numerators i.e. for 5288,6907 is 1
LCM of denominators i.e. for 121,167 is 20207.
Thus, GCF of Fractions is 1/20207.Finally, GCF of Fractions for 5288/121, 6907/167 is 1/20207.