Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7526/321,3438/3515
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 7526,3438
Greatest Common Factor of Numerators i.e. GCF of 7526,3438 is 2 .
LCM of Denominators means LCM of 321,3515 as per the given fractions.
LCM of 321,3515 is 1128315 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7526,3438
2 | 7526, 3438 |
3763, 1719 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7526
List of positive integer factors of 7526 that divides 7526 without a remainder.
1,2,53,71,106,142,3763,7526
Factors of 3438
List of positive integer factors of 3438 that divides 3438 without a remainder.
1,2,3,6,9,18,191,382,573,1146,1719,3438
Greatest Common Factor
We found the factors 7526,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 7526,3438 is 2.
Lets's calculate LCM of 321,3515
Given numbers has no common factors except 1. So, there LCM is their product i.e 1128315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1128315
Therefore, the GCF of Fractions 7526/321,3438/3515 is 2/1128315
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 321,3515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,3515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,3515) x common factors =1 x 1 = 1
LCM(321,3515) = ( 321 × 3515 ) / 1
LCM(321,3515) = 1128315 / 1
LCM(321,3515) = 1128315
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 7526/321, 3438/3515?
Answer: GCF of Numerators as per given numbers 7526/321, 3438/3515 is
GCF of Numerators i.e. for 7526,3438 is 2
LCM of denominators i.e. for 321,3515 is 1128315.
Thus, GCF of Fractions is 2/1128315.Finally, GCF of Fractions for 7526/321, 3438/3515 is 2/1128315.