Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 525/275,6690/3724
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 525,6690
Greatest Common Factor of Numerators i.e. GCF of 525,6690 is 15 .
LCM of Denominators means LCM of 275,3724 as per the given fractions.
LCM of 275,3724 is 1024100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 525,6690
3 | 525, 6690 |
5 | 175, 2230 |
35, 446 |
∴ So the GCF of the given numbers is 3 x 5 = 15
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
Factors of 6690
List of positive integer factors of 6690 that divides 6690 without a remainder.
1,2,3,5,6,10,15,30,223,446,669,1115,1338,2230,3345,6690
Greatest Common Factor
We found the factors 525,6690 . The biggest common factor number is the GCF number.
So the greatest common factor 525,6690 is 15.
Lets's calculate LCM of 275,3724
Given numbers has no common factors except 1. So, there LCM is their product i.e 1024100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1024100
Therefore, the GCF of Fractions 525/275,6690/3724 is 15/1024100
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 275,3724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,3724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(275,3724) x common factors =1 x 1 = 1
LCM(275,3724) = ( 275 × 3724 ) / 1
LCM(275,3724) = 1024100 / 1
LCM(275,3724) = 1024100
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 525/275, 6690/3724?
Answer: GCF of Numerators as per given numbers 525/275, 6690/3724 is
GCF of Numerators i.e. for 525,6690 is 15
LCM of denominators i.e. for 275,3724 is 1024100.
Thus, GCF of Fractions is 15/1024100.Finally, GCF of Fractions for 525/275, 6690/3724 is 15/1024100.