Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 525/737,3125/813
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 525,3125
Greatest Common Factor of Numerators i.e. GCF of 525,3125 is 25 .
LCM of Denominators means LCM of 737,813 as per the given fractions.
LCM of 737,813 is 599181 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 525,3125
5 | 525, 3125 |
5 | 105, 625 |
21, 125 |
∴ So the GCF of the given numbers is 5 x 5 = 25
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 3125
List of positive integer factors of 3125 that divides 3125 without a remainder.
1,5,25,125,625,3125
Greatest Common Factor
We found the factors 525,3125 . The biggest common factor number is the GCF number.
So the greatest common factor 525,3125 is 25.
Lets's calculate LCM of 737,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 599181
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/599181
Therefore, the GCF of Fractions 525/737,3125/813 is 25/599181
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 737,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,813) x common factors =1 x 1 = 1
LCM(737,813) = ( 737 × 813 ) / 1
LCM(737,813) = 599181 / 1
LCM(737,813) = 599181
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 525/737, 3125/813?
Answer: GCF of Numerators as per given numbers 525/737, 3125/813 is
GCF of Numerators i.e. for 525,3125 is 25
LCM of denominators i.e. for 737,813 is 599181.
Thus, GCF of Fractions is 25/599181.Finally, GCF of Fractions for 525/737, 3125/813 is 25/599181.