Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 477/320,2052/995
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 477,2052
Greatest Common Factor of Numerators i.e. GCF of 477,2052 is 9 .
LCM of Denominators means LCM of 320,995 as per the given fractions.
LCM of 320,995 is 63680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 477,2052
3 | 477, 2052 |
3 | 159, 684 |
53, 228 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 2052
List of positive integer factors of 2052 that divides 2052 without a remainder.
1,2,3,4,6,9,12,18,19,27,36,38,54,57,76,108,114,171,228,342,513,684,1026,2052
Greatest Common Factor
We found the factors 477,2052 . The biggest common factor number is the GCF number.
So the greatest common factor 477,2052 is 9.
Lets's calculate LCM of 320,995
5 | 320, 995 |
64, 199 |
∴ So the LCM of the given numbers is 5 x 64 x 199 = 63680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/63680
Therefore, the GCF of Fractions 477/320,2052/995 is 9/63680
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 320,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,995) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(320,995) x common factors =5 x 1 = 5
LCM(320,995) = ( 320 × 995 ) / 5
LCM(320,995) = 318400 / 5
LCM(320,995) = 63680
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 477/320, 2052/995?
Answer: GCF of Numerators as per given numbers 477/320, 2052/995 is
GCF of Numerators i.e. for 477,2052 is 9
LCM of denominators i.e. for 320,995 is 63680.
Thus, GCF of Fractions is 9/63680.Finally, GCF of Fractions for 477/320, 2052/995 is 9/63680.