Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 867/77,532/11,390/374
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 867,532,390
Greatest Common Factor of Numerators i.e. GCF of 867,532,390 is 1 .
LCM of Denominators means LCM of 77,11,374 as per the given fractions.
LCM of 77,11,374 is 2618 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 867,532,390
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 867,532,390 . The biggest common factor number is the GCF number.
So the greatest common factor 867,532,390 is 1.
Lets's calculate LCM of 77,11,374
11 | 77, 11, 374 |
7, 1, 34 |
∴ So the LCM of the given numbers is 11 x 7 x 1 x 34 = 2618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2618
Therefore, the GCF of Fractions 867/77,532/11,390/374 is 1/2618
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 77,11,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,11,374) = 11
common factors(in case of two or more numbers have common factors) = 11
GCF(77,11,374) x common factors =11 x 11 = 121
LCM(77,11,374) = ( 77 × 11 × 374 ) / 121
LCM(77,11,374) = 316778 / 121
LCM(77,11,374) = 2618
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 867/77, 532/11, 390/374?
Answer: GCF of Numerators as per given numbers 867/77, 532/11, 390/374 is
GCF of Numerators i.e. for 867,532,390 is 1
LCM of denominators i.e. for 77,11,374 is 2618.
Thus, GCF of Fractions is 1/2618.Finally, GCF of Fractions for 867/77, 532/11, 390/374 is 1/2618.