Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 530/601,492/824
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 530,492
Greatest Common Factor of Numerators i.e. GCF of 530,492 is 2 .
LCM of Denominators means LCM of 601,824 as per the given fractions.
LCM of 601,824 is 495224 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 530,492
2 | 530, 492 |
265, 246 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Greatest Common Factor
We found the factors 530,492 . The biggest common factor number is the GCF number.
So the greatest common factor 530,492 is 2.
Lets's calculate LCM of 601,824
Given numbers has no common factors except 1. So, there LCM is their product i.e 495224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/495224
Therefore, the GCF of Fractions 530/601,492/824 is 2/495224
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 601,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,824) x common factors =1 x 1 = 1
LCM(601,824) = ( 601 × 824 ) / 1
LCM(601,824) = 495224 / 1
LCM(601,824) = 495224
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 530/601, 492/824?
Answer: GCF of Numerators as per given numbers 530/601, 492/824 is
GCF of Numerators i.e. for 530,492 is 2
LCM of denominators i.e. for 601,824 is 495224.
Thus, GCF of Fractions is 2/495224.Finally, GCF of Fractions for 530/601, 492/824 is 2/495224.