Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 910/29,340/376
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 910,340
Greatest Common Factor of Numerators i.e. GCF of 910,340 is 10 .
LCM of Denominators means LCM of 29,376 as per the given fractions.
LCM of 29,376 is 10904 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 910,340
2 | 910, 340 |
5 | 455, 170 |
91, 34 |
∴ So the GCF of the given numbers is 2 x 5 = 10
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 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Greatest Common Factor
We found the factors 910,340 . The biggest common factor number is the GCF number.
So the greatest common factor 910,340 is 10.
Lets's calculate LCM of 29,376
Given numbers has no common factors except 1. So, there LCM is their product i.e 10904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/10904
Therefore, the GCF of Fractions 910/29,340/376 is 10/10904
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 29,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,376) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,376) x common factors =1 x 1 = 1
LCM(29,376) = ( 29 × 376 ) / 1
LCM(29,376) = 10904 / 1
LCM(29,376) = 10904
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 910/29, 340/376?
Answer: GCF of Numerators as per given numbers 910/29, 340/376 is
GCF of Numerators i.e. for 910,340 is 10
LCM of denominators i.e. for 29,376 is 10904.
Thus, GCF of Fractions is 10/10904.Finally, GCF of Fractions for 910/29, 340/376 is 10/10904.