Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 837/271,4140/601
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 837,4140
Greatest Common Factor of Numerators i.e. GCF of 837,4140 is 9 .
LCM of Denominators means LCM of 271,601 as per the given fractions.
LCM of 271,601 is 162871 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 837,4140
3 | 837, 4140 |
3 | 279, 1380 |
93, 460 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Factors of 4140
List of positive integer factors of 4140 that divides 4140 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,23,30,36,45,46,60,69,90,92,115,138,180,207,230,276,345,414,460,690,828,1035,1380,2070,4140
Greatest Common Factor
We found the factors 837,4140 . The biggest common factor number is the GCF number.
So the greatest common factor 837,4140 is 9.
Lets's calculate LCM of 271,601
Given numbers has no common factors except 1. So, there LCM is their product i.e 162871
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/162871
Therefore, the GCF of Fractions 837/271,4140/601 is 9/162871
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 271,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,601) x common factors =1 x 1 = 1
LCM(271,601) = ( 271 × 601 ) / 1
LCM(271,601) = 162871 / 1
LCM(271,601) = 162871
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 837/271, 4140/601?
Answer: GCF of Numerators as per given numbers 837/271, 4140/601 is
GCF of Numerators i.e. for 837,4140 is 9
LCM of denominators i.e. for 271,601 is 162871.
Thus, GCF of Fractions is 9/162871.Finally, GCF of Fractions for 837/271, 4140/601 is 9/162871.