Use our free GCF of Fractions Calculator tool to compute the GCF of 532/351, 209/340 i.e 19/119340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/351, 209/340.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 532/351,209/340
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 532/351,209/340, numerators are 532,209
Denominators are 351,340
The GCF of 532,209 is 19 .
LCM of 351,340 is 119340.
The greatest common factor of 532/351,209/340 = [GCF of 532,209]/[LCM of 351,340]= 19/119340
Therefore, the GCF of 532/351,209/340 is 19/119340.
To find the highest common factor of 532,209, we have to find the factors of both numbers and list the highest common factor.
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The factors of 209 are 1, 11, 19, 209
The HCF of 532,209 is 19.
Lets's calculate GCF of 532,209
19 | 532, 209 |
28, 11 |
∴ So the GCF of the given numbers is 19 = 19
Now, list down the factors of 532
:1,2,4,7,14,19,28,38,76,133,266,532
Now, list down the factors of 209
:1,11,19,209
Greatest Common Factor
We found the factors 532,209 . The biggest common factor number is the GCF number.
So the greatest common factor 532,209 is 19.
Lets's calculate LCM of 351,340
Given numbers has no common factors except 1. So, there LCM is their product i.e 119340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/119340
Therefore, the GCF of Fractions 532/351,209/340 is 19/119340
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 351,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,340) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(351,340) x common factors =1 x 1 = 1
LCM(351,340) = ( 351 × 340 ) / 1
LCM(351,340) = 119340 / 1
LCM(351,340) = 119340
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 532,209?
The HCF of 532,209 is 19
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 532/351, 209/340?
Answer: GCF of Numerators as per given numbers 532/351, 209/340 is
GCF of Numerators i.e. for 532,209 is 19
LCM of denominators i.e. for 351,340 is 119340.
Thus, GCF of Fractions is 19/119340.Finally, GCF of Fractions for 532/351, 209/340 is 19/119340.