Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 267/11,889/42,754/420
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 267,889,754
Greatest Common Factor of Numerators i.e. GCF of 267,889,754 is 1 .
LCM of Denominators means LCM of 11,42,420 as per the given fractions.
LCM of 11,42,420 is 4620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 267,889,754
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 267,889,754 . The biggest common factor number is the GCF number.
So the greatest common factor 267,889,754 is 1.
Lets's calculate LCM of 11,42,420
2 | 11, 42, 420 |
3 | 11, 21, 210 |
7 | 11, 7, 70 |
11, 1, 10 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 1 x 10 = 4620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4620
Therefore, the GCF of Fractions 267/11,889/42,754/420 is 1/4620
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 11,42,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,42,420) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(11,42,420) x common factors =1 x 42 = 42
LCM(11,42,420) = ( 11 × 42 × 420 ) / 42
LCM(11,42,420) = 194040 / 42
LCM(11,42,420) = 4620
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 267/11, 889/42, 754/420?
Answer: GCF of Numerators as per given numbers 267/11, 889/42, 754/420 is
GCF of Numerators i.e. for 267,889,754 is 1
LCM of denominators i.e. for 11,42,420 is 4620.
Thus, GCF of Fractions is 1/4620.Finally, GCF of Fractions for 267/11, 889/42, 754/420 is 1/4620.