Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 920/723,608/458,906/676
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 920,608,906
Greatest Common Factor of Numerators i.e. GCF of 920,608,906 is 2 .
LCM of Denominators means LCM of 723,458,676 as per the given fractions.
LCM of 723,458,676 is 111923292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 920,608,906
2 | 920, 608, 906 |
460, 304, 453 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 920,608,906 . The biggest common factor number is the GCF number.
So the greatest common factor 920,608,906 is 2.
Lets's calculate LCM of 723,458,676
2 | 723, 458, 676 |
723, 229, 338 |
∴ So the LCM of the given numbers is 2 x 723 x 229 x 338 = 111923292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/111923292
Therefore, the GCF of Fractions 920/723,608/458,906/676 is 2/111923292
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 723,458,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,458,676) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(723,458,676) x common factors =1 x 2 = 2
LCM(723,458,676) = ( 723 × 458 × 676 ) / 2
LCM(723,458,676) = 223846584 / 2
LCM(723,458,676) = 111923292
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 920/723, 608/458, 906/676?
Answer: GCF of Numerators as per given numbers 920/723, 608/458, 906/676 is
GCF of Numerators i.e. for 920,608,906 is 2
LCM of denominators i.e. for 723,458,676 is 111923292.
Thus, GCF of Fractions is 2/111923292.Finally, GCF of Fractions for 920/723, 608/458, 906/676 is 2/111923292.