Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2500/15,2632/632
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 2500,2632
Greatest Common Factor of Numerators i.e. GCF of 2500,2632 is 4 .
LCM of Denominators means LCM of 15,632 as per the given fractions.
LCM of 15,632 is 9480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2500,2632
2 | 2500, 2632 |
2 | 1250, 1316 |
625, 658 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 2500
List of positive integer factors of 2500 that divides 2500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500,625,1250,2500
Factors of 2632
List of positive integer factors of 2632 that divides 2632 without a remainder.
1,2,4,7,8,14,28,47,56,94,188,329,376,658,1316,2632
Greatest Common Factor
We found the factors 2500,2632 . The biggest common factor number is the GCF number.
So the greatest common factor 2500,2632 is 4.
Lets's calculate LCM of 15,632
Given numbers has no common factors except 1. So, there LCM is their product i.e 9480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9480
Therefore, the GCF of Fractions 2500/15,2632/632 is 4/9480
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 15,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,632) x common factors =1 x 1 = 1
LCM(15,632) = ( 15 × 632 ) / 1
LCM(15,632) = 9480 / 1
LCM(15,632) = 9480
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 2500/15, 2632/632?
Answer: GCF of Numerators as per given numbers 2500/15, 2632/632 is
GCF of Numerators i.e. for 2500,2632 is 4
LCM of denominators i.e. for 15,632 is 9480.
Thus, GCF of Fractions is 4/9480.Finally, GCF of Fractions for 2500/15, 2632/632 is 4/9480.