Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/77,926/37,910/74
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 2,926,910
Greatest Common Factor of Numerators i.e. GCF of 2,926,910 is 2 .
LCM of Denominators means LCM of 77,37,74 as per the given fractions.
LCM of 77,37,74 is 5698 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,926,910
2 | 2, 926, 910 |
1, 463, 455 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
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
Greatest Common Factor
We found the factors 2,926,910 . The biggest common factor number is the GCF number.
So the greatest common factor 2,926,910 is 2.
Lets's calculate LCM of 77,37,74
37 | 77, 37, 74 |
77, 1, 2 |
∴ So the LCM of the given numbers is 37 x 77 x 1 x 2 = 5698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5698
Therefore, the GCF of Fractions 2/77,926/37,910/74 is 2/5698
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 77,37,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,37,74) = 1
common factors(in case of two or more numbers have common factors) = 37
GCF(77,37,74) x common factors =1 x 37 = 37
LCM(77,37,74) = ( 77 × 37 × 74 ) / 37
LCM(77,37,74) = 210826 / 37
LCM(77,37,74) = 5698
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 2/77, 926/37, 910/74?
Answer: GCF of Numerators as per given numbers 2/77, 926/37, 910/74 is
GCF of Numerators i.e. for 2,926,910 is 2
LCM of denominators i.e. for 77,37,74 is 5698.
Thus, GCF of Fractions is 2/5698.Finally, GCF of Fractions for 2/77, 926/37, 910/74 is 2/5698.