Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 131/931,696/844,881/487
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 131,696,881
Greatest Common Factor of Numerators i.e. GCF of 131,696,881 is 1 .
LCM of Denominators means LCM of 931,844,487 as per the given fractions.
LCM of 931,844,487 is 382667068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 131,696,881
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Greatest Common Factor
We found the factors 131,696,881 . The biggest common factor number is the GCF number.
So the greatest common factor 131,696,881 is 1.
Lets's calculate LCM of 931,844,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 382667068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382667068
Therefore, the GCF of Fractions 131/931,696/844,881/487 is 1/382667068
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 931,844,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,844,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,844,487) x common factors =1 x 1 = 1
LCM(931,844,487) = ( 931 × 844 × 487 ) / 1
LCM(931,844,487) = 382667068 / 1
LCM(931,844,487) = 382667068
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 131/931, 696/844, 881/487?
Answer: GCF of Numerators as per given numbers 131/931, 696/844, 881/487 is
GCF of Numerators i.e. for 131,696,881 is 1
LCM of denominators i.e. for 931,844,487 is 382667068.
Thus, GCF of Fractions is 1/382667068.Finally, GCF of Fractions for 131/931, 696/844, 881/487 is 1/382667068.