Use our free GCF of Fractions Calculator tool to compute the GCF of 502/370, 599/214 i.e 1/39590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 502/370, 599/214.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 502/370,599/214
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 502/370,599/214, numerators are 502,599
Denominators are 370,214
The GCF of 502,599 is 1 .
LCM of 370,214 is 39590.
The greatest common factor of 502/370,599/214 = [GCF of 502,599]/[LCM of 370,214]= 1/39590
Therefore, the GCF of 502/370,599/214 is 1/39590.
To find the highest common factor of 502,599, we have to find the factors of both numbers and list the highest common factor.
The factors of 502 are 1, 2, 251, 502
The factors of 599 are 1, 599
The HCF of 502,599 is 1.
Lets's calculate GCF of 502,599
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 502
:1,2,251,502
Now, list down the factors of 599
:1,599
Greatest Common Factor
We found the factors 502,599 . The biggest common factor number is the GCF number.
So the greatest common factor 502,599 is 1.
Lets's calculate LCM of 370,214
2 | 370, 214 |
185, 107 |
∴ So the LCM of the given numbers is 2 x 185 x 107 = 39590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39590
Therefore, the GCF of Fractions 502/370,599/214 is 1/39590
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 370,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,214) x common factors =2 x 1 = 2
LCM(370,214) = ( 370 × 214 ) / 2
LCM(370,214) = 79180 / 2
LCM(370,214) = 39590
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 502,599?
The HCF of 502,599 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 502/370, 599/214?
Answer: GCF of Numerators as per given numbers 502/370, 599/214 is
GCF of Numerators i.e. for 502,599 is 1
LCM of denominators i.e. for 370,214 is 39590.
Thus, GCF of Fractions is 1/39590.Finally, GCF of Fractions for 502/370, 599/214 is 1/39590.