Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 516/520,993/932,882/554
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 516,993,882
Greatest Common Factor of Numerators i.e. GCF of 516,993,882 is 3 .
LCM of Denominators means LCM of 520,932,554 as per the given fractions.
LCM of 520,932,554 is 33561320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 516,993,882
3 | 516, 993, 882 |
172, 331, 294 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 516,993,882 . The biggest common factor number is the GCF number.
So the greatest common factor 516,993,882 is 3.
Lets's calculate LCM of 520,932,554
2 | 520, 932, 554 |
2 | 260, 466, 277 |
130, 233, 277 |
∴ So the LCM of the given numbers is 2 x 2 x 130 x 233 x 277 = 33561320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/33561320
Therefore, the GCF of Fractions 516/520,993/932,882/554 is 3/33561320
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 520,932,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,932,554) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(520,932,554) x common factors =2 x 4 = 8
LCM(520,932,554) = ( 520 × 932 × 554 ) / 8
LCM(520,932,554) = 268490560 / 8
LCM(520,932,554) = 33561320
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 516/520, 993/932, 882/554?
Answer: GCF of Numerators as per given numbers 516/520, 993/932, 882/554 is
GCF of Numerators i.e. for 516,993,882 is 3
LCM of denominators i.e. for 520,932,554 is 33561320.
Thus, GCF of Fractions is 3/33561320.Finally, GCF of Fractions for 516/520, 993/932, 882/554 is 3/33561320.