Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 520/492,2518/427
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 520,2518
Greatest Common Factor of Numerators i.e. GCF of 520,2518 is 2 .
LCM of Denominators means LCM of 492,427 as per the given fractions.
LCM of 492,427 is 210084 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 520,2518
2 | 520, 2518 |
260, 1259 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 2518
List of positive integer factors of 2518 that divides 2518 without a remainder.
1,2,1259,2518
Greatest Common Factor
We found the factors 520,2518 . The biggest common factor number is the GCF number.
So the greatest common factor 520,2518 is 2.
Lets's calculate LCM of 492,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 210084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/210084
Therefore, the GCF of Fractions 520/492,2518/427 is 2/210084
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 492,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(492,427) x common factors =1 x 1 = 1
LCM(492,427) = ( 492 × 427 ) / 1
LCM(492,427) = 210084 / 1
LCM(492,427) = 210084
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 520/492, 2518/427?
Answer: GCF of Numerators as per given numbers 520/492, 2518/427 is
GCF of Numerators i.e. for 520,2518 is 2
LCM of denominators i.e. for 492,427 is 210084.
Thus, GCF of Fractions is 2/210084.Finally, GCF of Fractions for 520/492, 2518/427 is 2/210084.