Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1261/112,1461/214
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 1261,1461
Greatest Common Factor of Numerators i.e. GCF of 1261,1461 is 1 .
LCM of Denominators means LCM of 112,214 as per the given fractions.
LCM of 112,214 is 11984 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1261,1461
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1261
List of positive integer factors of 1261 that divides 1261 without a remainder.
1,13,97,1261
Factors of 1461
List of positive integer factors of 1461 that divides 1461 without a remainder.
1,3,487,1461
Greatest Common Factor
We found the factors 1261,1461 . The biggest common factor number is the GCF number.
So the greatest common factor 1261,1461 is 1.
Lets's calculate LCM of 112,214
2 | 112, 214 |
56, 107 |
∴ So the LCM of the given numbers is 2 x 56 x 107 = 11984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11984
Therefore, the GCF of Fractions 1261/112,1461/214 is 1/11984
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 112,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(112,214) x common factors =2 x 1 = 2
LCM(112,214) = ( 112 × 214 ) / 2
LCM(112,214) = 23968 / 2
LCM(112,214) = 11984
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 1261/112, 1461/214?
Answer: GCF of Numerators as per given numbers 1261/112, 1461/214 is
GCF of Numerators i.e. for 1261,1461 is 1
LCM of denominators i.e. for 112,214 is 11984.
Thus, GCF of Fractions is 1/11984.Finally, GCF of Fractions for 1261/112, 1461/214 is 1/11984.