Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 117/747,378/409,728/971
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 117,378,728
Greatest Common Factor of Numerators i.e. GCF of 117,378,728 is 1 .
LCM of Denominators means LCM of 747,409,971 as per the given fractions.
LCM of 747,409,971 is 296662833 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 117,378,728
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 117,378,728 . The biggest common factor number is the GCF number.
So the greatest common factor 117,378,728 is 1.
Lets's calculate LCM of 747,409,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 296662833
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296662833
Therefore, the GCF of Fractions 117/747,378/409,728/971 is 1/296662833
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 747,409,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,409,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,409,971) x common factors =1 x 1 = 1
LCM(747,409,971) = ( 747 × 409 × 971 ) / 1
LCM(747,409,971) = 296662833 / 1
LCM(747,409,971) = 296662833
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 117/747, 378/409, 728/971?
Answer: GCF of Numerators as per given numbers 117/747, 378/409, 728/971 is
GCF of Numerators i.e. for 117,378,728 is 1
LCM of denominators i.e. for 747,409,971 is 296662833.
Thus, GCF of Fractions is 1/296662833.Finally, GCF of Fractions for 117/747, 378/409, 728/971 is 1/296662833.