Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 477/972,204/560
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 477,204
Greatest Common Factor of Numerators i.e. GCF of 477,204 is 3 .
LCM of Denominators means LCM of 972,560 as per the given fractions.
LCM of 972,560 is 136080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 477,204
3 | 477, 204 |
159, 68 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 477,204 . The biggest common factor number is the GCF number.
So the greatest common factor 477,204 is 3.
Lets's calculate LCM of 972,560
2 | 972, 560 |
2 | 486, 280 |
243, 140 |
∴ So the LCM of the given numbers is 2 x 2 x 243 x 140 = 136080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/136080
Therefore, the GCF of Fractions 477/972,204/560 is 3/136080
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 972,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,560) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(972,560) x common factors =4 x 1 = 4
LCM(972,560) = ( 972 × 560 ) / 4
LCM(972,560) = 544320 / 4
LCM(972,560) = 136080
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 477/972, 204/560?
Answer: GCF of Numerators as per given numbers 477/972, 204/560 is
GCF of Numerators i.e. for 477,204 is 3
LCM of denominators i.e. for 972,560 is 136080.
Thus, GCF of Fractions is 3/136080.Finally, GCF of Fractions for 477/972, 204/560 is 3/136080.