Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2122/35,1967/985
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 2122,1967
Greatest Common Factor of Numerators i.e. GCF of 2122,1967 is 1 .
LCM of Denominators means LCM of 35,985 as per the given fractions.
LCM of 35,985 is 6895 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2122,1967
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2122
List of positive integer factors of 2122 that divides 2122 without a remainder.
1,2,1061,2122
Factors of 1967
List of positive integer factors of 1967 that divides 1967 without a remainder.
1,7,281,1967
Greatest Common Factor
We found the factors 2122,1967 . The biggest common factor number is the GCF number.
So the greatest common factor 2122,1967 is 1.
Lets's calculate LCM of 35,985
5 | 35, 985 |
7, 197 |
∴ So the LCM of the given numbers is 5 x 7 x 197 = 6895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6895
Therefore, the GCF of Fractions 2122/35,1967/985 is 1/6895
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 35,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,985) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(35,985) x common factors =5 x 1 = 5
LCM(35,985) = ( 35 × 985 ) / 5
LCM(35,985) = 34475 / 5
LCM(35,985) = 6895
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 2122/35, 1967/985?
Answer: GCF of Numerators as per given numbers 2122/35, 1967/985 is
GCF of Numerators i.e. for 2122,1967 is 1
LCM of denominators i.e. for 35,985 is 6895.
Thus, GCF of Fractions is 1/6895.Finally, GCF of Fractions for 2122/35, 1967/985 is 1/6895.