Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 540/360,6525/176
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 540,6525
Greatest Common Factor of Numerators i.e. GCF of 540,6525 is 45 .
LCM of Denominators means LCM of 360,176 as per the given fractions.
LCM of 360,176 is 7920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 540,6525
3 | 540, 6525 |
3 | 180, 2175 |
5 | 60, 725 |
12, 145 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Factors of 6525
List of positive integer factors of 6525 that divides 6525 without a remainder.
1,3,5,9,15,25,29,45,75,87,145,225,261,435,725,1305,2175,6525
Greatest Common Factor
We found the factors 540,6525 . The biggest common factor number is the GCF number.
So the greatest common factor 540,6525 is 45.
Lets's calculate LCM of 360,176
2 | 360, 176 |
2 | 180, 88 |
2 | 90, 44 |
45, 22 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 45 x 22 = 7920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/7920
Therefore, the GCF of Fractions 540/360,6525/176 is 45/7920
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 360,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,176) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(360,176) x common factors =8 x 1 = 8
LCM(360,176) = ( 360 × 176 ) / 8
LCM(360,176) = 63360 / 8
LCM(360,176) = 7920
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 540/360, 6525/176?
Answer: GCF of Numerators as per given numbers 540/360, 6525/176 is
GCF of Numerators i.e. for 540,6525 is 45
LCM of denominators i.e. for 360,176 is 7920.
Thus, GCF of Fractions is 45/7920.Finally, GCF of Fractions for 540/360, 6525/176 is 45/7920.