Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 620/329,835/601,907/152
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 620,835,907
Greatest Common Factor of Numerators i.e. GCF of 620,835,907 is 1 .
LCM of Denominators means LCM of 329,601,152 as per the given fractions.
LCM of 329,601,152 is 30054808 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 620,835,907
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Greatest Common Factor
We found the factors 620,835,907 . The biggest common factor number is the GCF number.
So the greatest common factor 620,835,907 is 1.
Lets's calculate LCM of 329,601,152
Given numbers has no common factors except 1. So, there LCM is their product i.e 30054808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30054808
Therefore, the GCF of Fractions 620/329,835/601,907/152 is 1/30054808
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 329,601,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,601,152) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,601,152) x common factors =1 x 1 = 1
LCM(329,601,152) = ( 329 × 601 × 152 ) / 1
LCM(329,601,152) = 30054808 / 1
LCM(329,601,152) = 30054808
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 620/329, 835/601, 907/152?
Answer: GCF of Numerators as per given numbers 620/329, 835/601, 907/152 is
GCF of Numerators i.e. for 620,835,907 is 1
LCM of denominators i.e. for 329,601,152 is 30054808.
Thus, GCF of Fractions is 1/30054808.Finally, GCF of Fractions for 620/329, 835/601, 907/152 is 1/30054808.