Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5226/960,4382/140
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 5226,4382
Greatest Common Factor of Numerators i.e. GCF of 5226,4382 is 2 .
LCM of Denominators means LCM of 960,140 as per the given fractions.
LCM of 960,140 is 6720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5226,4382
2 | 5226, 4382 |
2613, 2191 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5226
List of positive integer factors of 5226 that divides 5226 without a remainder.
1,2,3,6,13,26,39,67,78,134,201,402,871,1742,2613,5226
Factors of 4382
List of positive integer factors of 4382 that divides 4382 without a remainder.
1,2,7,14,313,626,2191,4382
Greatest Common Factor
We found the factors 5226,4382 . The biggest common factor number is the GCF number.
So the greatest common factor 5226,4382 is 2.
Lets's calculate LCM of 960,140
2 | 960, 140 |
2 | 480, 70 |
5 | 240, 35 |
48, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 48 x 7 = 6720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6720
Therefore, the GCF of Fractions 5226/960,4382/140 is 2/6720
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 960,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,140) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(960,140) x common factors =20 x 1 = 20
LCM(960,140) = ( 960 × 140 ) / 20
LCM(960,140) = 134400 / 20
LCM(960,140) = 6720
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 5226/960, 4382/140?
Answer: GCF of Numerators as per given numbers 5226/960, 4382/140 is
GCF of Numerators i.e. for 5226,4382 is 2
LCM of denominators i.e. for 960,140 is 6720.
Thus, GCF of Fractions is 2/6720.Finally, GCF of Fractions for 5226/960, 4382/140 is 2/6720.