Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 296/201,840/878
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 296,840
Greatest Common Factor of Numerators i.e. GCF of 296,840 is 8 .
LCM of Denominators means LCM of 201,878 as per the given fractions.
LCM of 201,878 is 176478 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 296,840
2 | 296, 840 |
2 | 148, 420 |
2 | 74, 210 |
37, 105 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 296,840 . The biggest common factor number is the GCF number.
So the greatest common factor 296,840 is 8.
Lets's calculate LCM of 201,878
Given numbers has no common factors except 1. So, there LCM is their product i.e 176478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/176478
Therefore, the GCF of Fractions 296/201,840/878 is 8/176478
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 201,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(201,878) x common factors =1 x 1 = 1
LCM(201,878) = ( 201 × 878 ) / 1
LCM(201,878) = 176478 / 1
LCM(201,878) = 176478
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 296/201, 840/878?
Answer: GCF of Numerators as per given numbers 296/201, 840/878 is
GCF of Numerators i.e. for 296,840 is 8
LCM of denominators i.e. for 201,878 is 176478.
Thus, GCF of Fractions is 8/176478.Finally, GCF of Fractions for 296/201, 840/878 is 8/176478.