Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/43,70/658,379/139
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 72,70,379
Greatest Common Factor of Numerators i.e. GCF of 72,70,379 is 1 .
LCM of Denominators means LCM of 43,658,139 as per the given fractions.
LCM of 43,658,139 is 3932866 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,70,379
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Greatest Common Factor
We found the factors 72,70,379 . The biggest common factor number is the GCF number.
So the greatest common factor 72,70,379 is 1.
Lets's calculate LCM of 43,658,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 3932866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3932866
Therefore, the GCF of Fractions 72/43,70/658,379/139 is 1/3932866
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 43,658,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,658,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,658,139) x common factors =1 x 1 = 1
LCM(43,658,139) = ( 43 × 658 × 139 ) / 1
LCM(43,658,139) = 3932866 / 1
LCM(43,658,139) = 3932866
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 72/43, 70/658, 379/139?
Answer: GCF of Numerators as per given numbers 72/43, 70/658, 379/139 is
GCF of Numerators i.e. for 72,70,379 is 1
LCM of denominators i.e. for 43,658,139 is 3932866.
Thus, GCF of Fractions is 1/3932866.Finally, GCF of Fractions for 72/43, 70/658, 379/139 is 1/3932866.