Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 85/45,20/29,525/633
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 85,20,525
Greatest Common Factor of Numerators i.e. GCF of 85,20,525 is 5 .
LCM of Denominators means LCM of 45,29,633 as per the given fractions.
LCM of 45,29,633 is 275355 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 85,20,525
5 | 85, 20, 525 |
17, 4, 105 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 85,20,525 . The biggest common factor number is the GCF number.
So the greatest common factor 85,20,525 is 5.
Lets's calculate LCM of 45,29,633
3 | 45, 29, 633 |
15, 29, 211 |
∴ So the LCM of the given numbers is 3 x 15 x 29 x 211 = 275355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/275355
Therefore, the GCF of Fractions 85/45,20/29,525/633 is 5/275355
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 45,29,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,29,633) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(45,29,633) x common factors =1 x 3 = 3
LCM(45,29,633) = ( 45 × 29 × 633 ) / 3
LCM(45,29,633) = 826065 / 3
LCM(45,29,633) = 275355
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 85/45, 20/29, 525/633?
Answer: GCF of Numerators as per given numbers 85/45, 20/29, 525/633 is
GCF of Numerators i.e. for 85,20,525 is 5
LCM of denominators i.e. for 45,29,633 is 275355.
Thus, GCF of Fractions is 5/275355.Finally, GCF of Fractions for 85/45, 20/29, 525/633 is 5/275355.