Use our free GCF of Fractions Calculator tool to compute the GCF of 210/448, 499/922 i.e 1/206528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 210/448, 499/922.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 210/448,499/922
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 210/448,499/922, numerators are 210,499
Denominators are 448,922
The GCF of 210,499 is 1 .
LCM of 448,922 is 206528.
The greatest common factor of 210/448,499/922 = [GCF of 210,499]/[LCM of 448,922]= 1/206528
Therefore, the GCF of 210/448,499/922 is 1/206528.
To find the highest common factor of 210,499, we have to find the factors of both numbers and list the highest common factor.
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The factors of 499 are 1, 499
The HCF of 210,499 is 1.
Lets's calculate GCF of 210,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Now, list down the factors of 499
:1,499
Greatest Common Factor
We found the factors 210,499 . The biggest common factor number is the GCF number.
So the greatest common factor 210,499 is 1.
Lets's calculate LCM of 448,922
2 | 448, 922 |
224, 461 |
∴ So the LCM of the given numbers is 2 x 224 x 461 = 206528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206528
Therefore, the GCF of Fractions 210/448,499/922 is 1/206528
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 448,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(448,922) x common factors =2 x 1 = 2
LCM(448,922) = ( 448 × 922 ) / 2
LCM(448,922) = 413056 / 2
LCM(448,922) = 206528
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 210,499?
The HCF of 210,499 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 210/448, 499/922?
Answer: GCF of Numerators as per given numbers 210/448, 499/922 is
GCF of Numerators i.e. for 210,499 is 1
LCM of denominators i.e. for 448,922 is 206528.
Thus, GCF of Fractions is 1/206528.Finally, GCF of Fractions for 210/448, 499/922 is 1/206528.