Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 874/940,1197/261
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 874,1197
Greatest Common Factor of Numerators i.e. GCF of 874,1197 is 19 .
LCM of Denominators means LCM of 940,261 as per the given fractions.
LCM of 940,261 is 245340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 874,1197
19 | 874, 1197 |
46, 63 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 1197
List of positive integer factors of 1197 that divides 1197 without a remainder.
1,3,7,9,19,21,57,63,133,171,399,1197
Greatest Common Factor
We found the factors 874,1197 . The biggest common factor number is the GCF number.
So the greatest common factor 874,1197 is 19.
Lets's calculate LCM of 940,261
Given numbers has no common factors except 1. So, there LCM is their product i.e 245340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/245340
Therefore, the GCF of Fractions 874/940,1197/261 is 19/245340
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 940,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,261) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(940,261) x common factors =1 x 1 = 1
LCM(940,261) = ( 940 × 261 ) / 1
LCM(940,261) = 245340 / 1
LCM(940,261) = 245340
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 874/940, 1197/261?
Answer: GCF of Numerators as per given numbers 874/940, 1197/261 is
GCF of Numerators i.e. for 874,1197 is 19
LCM of denominators i.e. for 940,261 is 245340.
Thus, GCF of Fractions is 19/245340.Finally, GCF of Fractions for 874/940, 1197/261 is 19/245340.