Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 910/44,534/83,661/919
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 910,534,661
Greatest Common Factor of Numerators i.e. GCF of 910,534,661 is 1 .
LCM of Denominators means LCM of 44,83,919 as per the given fractions.
LCM of 44,83,919 is 3356188 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 910,534,661
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
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 910,534,661 . The biggest common factor number is the GCF number.
So the greatest common factor 910,534,661 is 1.
Lets's calculate LCM of 44,83,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 3356188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3356188
Therefore, the GCF of Fractions 910/44,534/83,661/919 is 1/3356188
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 44,83,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,83,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,83,919) x common factors =1 x 1 = 1
LCM(44,83,919) = ( 44 × 83 × 919 ) / 1
LCM(44,83,919) = 3356188 / 1
LCM(44,83,919) = 3356188
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 910/44, 534/83, 661/919?
Answer: GCF of Numerators as per given numbers 910/44, 534/83, 661/919 is
GCF of Numerators i.e. for 910,534,661 is 1
LCM of denominators i.e. for 44,83,919 is 3356188.
Thus, GCF of Fractions is 1/3356188.Finally, GCF of Fractions for 910/44, 534/83, 661/919 is 1/3356188.