Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1634/518,7875/1360
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 1634,7875
Greatest Common Factor of Numerators i.e. GCF of 1634,7875 is 1 .
LCM of Denominators means LCM of 518,1360 as per the given fractions.
LCM of 518,1360 is 352240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1634,7875
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1634
List of positive integer factors of 1634 that divides 1634 without a remainder.
1,2,19,38,43,86,817,1634
Factors of 7875
List of positive integer factors of 7875 that divides 7875 without a remainder.
1,3,5,7,9,15,21,25,35,45,63,75,105,125,175,225,315,375,525,875,1125,1575,2625,7875
Greatest Common Factor
We found the factors 1634,7875 . The biggest common factor number is the GCF number.
So the greatest common factor 1634,7875 is 1.
Lets's calculate LCM of 518,1360
2 | 518, 1360 |
259, 680 |
∴ So the LCM of the given numbers is 2 x 259 x 680 = 352240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352240
Therefore, the GCF of Fractions 1634/518,7875/1360 is 1/352240
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 518,1360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,1360) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(518,1360) x common factors =2 x 1 = 2
LCM(518,1360) = ( 518 × 1360 ) / 2
LCM(518,1360) = 704480 / 2
LCM(518,1360) = 352240
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 1634/518, 7875/1360?
Answer: GCF of Numerators as per given numbers 1634/518, 7875/1360 is
GCF of Numerators i.e. for 1634,7875 is 1
LCM of denominators i.e. for 518,1360 is 352240.
Thus, GCF of Fractions is 1/352240.Finally, GCF of Fractions for 1634/518, 7875/1360 is 1/352240.