Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 599/510,6179/565
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 599,6179
Greatest Common Factor of Numerators i.e. GCF of 599,6179 is 1 .
LCM of Denominators means LCM of 510,565 as per the given fractions.
LCM of 510,565 is 57630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 599,6179
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Factors of 6179
List of positive integer factors of 6179 that divides 6179 without a remainder.
1,37,167,6179
Greatest Common Factor
We found the factors 599,6179 . The biggest common factor number is the GCF number.
So the greatest common factor 599,6179 is 1.
Lets's calculate LCM of 510,565
5 | 510, 565 |
102, 113 |
∴ So the LCM of the given numbers is 5 x 102 x 113 = 57630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57630
Therefore, the GCF of Fractions 599/510,6179/565 is 1/57630
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 510,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,565) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(510,565) x common factors =5 x 1 = 5
LCM(510,565) = ( 510 × 565 ) / 5
LCM(510,565) = 288150 / 5
LCM(510,565) = 57630
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 599/510, 6179/565?
Answer: GCF of Numerators as per given numbers 599/510, 6179/565 is
GCF of Numerators i.e. for 599,6179 is 1
LCM of denominators i.e. for 510,565 is 57630.
Thus, GCF of Fractions is 1/57630.Finally, GCF of Fractions for 599/510, 6179/565 is 1/57630.