Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 460/92,900/74,745/653
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 460,900,745
Greatest Common Factor of Numerators i.e. GCF of 460,900,745 is 5 .
LCM of Denominators means LCM of 92,74,653 as per the given fractions.
LCM of 92,74,653 is 2222812 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 460,900,745
5 | 460, 900, 745 |
92, 180, 149 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 460,900,745 . The biggest common factor number is the GCF number.
So the greatest common factor 460,900,745 is 5.
Lets's calculate LCM of 92,74,653
2 | 92, 74, 653 |
46, 37, 653 |
∴ So the LCM of the given numbers is 2 x 46 x 37 x 653 = 2222812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2222812
Therefore, the GCF of Fractions 460/92,900/74,745/653 is 5/2222812
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 92,74,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,74,653) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(92,74,653) x common factors =1 x 2 = 2
LCM(92,74,653) = ( 92 × 74 × 653 ) / 2
LCM(92,74,653) = 4445624 / 2
LCM(92,74,653) = 2222812
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 460/92, 900/74, 745/653?
Answer: GCF of Numerators as per given numbers 460/92, 900/74, 745/653 is
GCF of Numerators i.e. for 460,900,745 is 5
LCM of denominators i.e. for 92,74,653 is 2222812.
Thus, GCF of Fractions is 5/2222812.Finally, GCF of Fractions for 460/92, 900/74, 745/653 is 5/2222812.