Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 484/960,168/722
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 484,168
Greatest Common Factor of Numerators i.e. GCF of 484,168 is 4 .
LCM of Denominators means LCM of 960,722 as per the given fractions.
LCM of 960,722 is 346560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 484,168
2 | 484, 168 |
2 | 242, 84 |
121, 42 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 484,168 . The biggest common factor number is the GCF number.
So the greatest common factor 484,168 is 4.
Lets's calculate LCM of 960,722
2 | 960, 722 |
480, 361 |
∴ So the LCM of the given numbers is 2 x 480 x 361 = 346560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/346560
Therefore, the GCF of Fractions 484/960,168/722 is 4/346560
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 960,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(960,722) x common factors =2 x 1 = 2
LCM(960,722) = ( 960 × 722 ) / 2
LCM(960,722) = 693120 / 2
LCM(960,722) = 346560
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 484/960, 168/722?
Answer: GCF of Numerators as per given numbers 484/960, 168/722 is
GCF of Numerators i.e. for 484,168 is 4
LCM of denominators i.e. for 960,722 is 346560.
Thus, GCF of Fractions is 4/346560.Finally, GCF of Fractions for 484/960, 168/722 is 4/346560.