Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/107,121/391,640/671
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 15,121,640
Greatest Common Factor of Numerators i.e. GCF of 15,121,640 is 1 .
LCM of Denominators means LCM of 107,391,671 as per the given fractions.
LCM of 107,391,671 is 28072627 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 15,121,640
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 15,121,640 . The biggest common factor number is the GCF number.
So the greatest common factor 15,121,640 is 1.
Lets's calculate LCM of 107,391,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 28072627
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28072627
Therefore, the GCF of Fractions 15/107,121/391,640/671 is 1/28072627
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 107,391,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,391,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,391,671) x common factors =1 x 1 = 1
LCM(107,391,671) = ( 107 × 391 × 671 ) / 1
LCM(107,391,671) = 28072627 / 1
LCM(107,391,671) = 28072627
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 15/107, 121/391, 640/671?
Answer: GCF of Numerators as per given numbers 15/107, 121/391, 640/671 is
GCF of Numerators i.e. for 15,121,640 is 1
LCM of denominators i.e. for 107,391,671 is 28072627.
Thus, GCF of Fractions is 1/28072627.Finally, GCF of Fractions for 15/107, 121/391, 640/671 is 1/28072627.