Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 970/907,305/815,661/679
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 970,305,661
Greatest Common Factor of Numerators i.e. GCF of 970,305,661 is 1 .
LCM of Denominators means LCM of 907,815,679 as per the given fractions.
LCM of 907,815,679 is 501920195 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 970,305,661
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Greatest Common Factor
We found the factors 970,305,661 . The biggest common factor number is the GCF number.
So the greatest common factor 970,305,661 is 1.
Lets's calculate LCM of 907,815,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 501920195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/501920195
Therefore, the GCF of Fractions 970/907,305/815,661/679 is 1/501920195
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 907,815,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,815,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,815,679) x common factors =1 x 1 = 1
LCM(907,815,679) = ( 907 × 815 × 679 ) / 1
LCM(907,815,679) = 501920195 / 1
LCM(907,815,679) = 501920195
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 970/907, 305/815, 661/679?
Answer: GCF of Numerators as per given numbers 970/907, 305/815, 661/679 is
GCF of Numerators i.e. for 970,305,661 is 1
LCM of denominators i.e. for 907,815,679 is 501920195.
Thus, GCF of Fractions is 1/501920195.Finally, GCF of Fractions for 970/907, 305/815, 661/679 is 1/501920195.