Use our free GCF of Fractions Calculator tool to compute the GCF of 326/680, 534/850 i.e 2/3400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 326/680, 534/850.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 326/680,534/850
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 326/680,534/850, numerators are 326,534
Denominators are 680,850
The GCF of 326,534 is 2 .
LCM of 680,850 is 3400.
The greatest common factor of 326/680,534/850 = [GCF of 326,534]/[LCM of 680,850]= 2/3400
Therefore, the GCF of 326/680,534/850 is 2/3400.
To find the highest common factor of 326,534, we have to find the factors of both numbers and list the highest common factor.
The factors of 326 are 1, 2, 163, 326
The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534
The HCF of 326,534 is 2.
Lets's calculate GCF of 326,534
2 | 326, 534 |
163, 267 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 326
:1,2,163,326
Now, list down the factors of 534
:1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 326,534 . The biggest common factor number is the GCF number.
So the greatest common factor 326,534 is 2.
Lets's calculate LCM of 680,850
2 | 680, 850 |
5 | 340, 425 |
17 | 68, 85 |
4, 5 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 4 x 5 = 3400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3400
Therefore, the GCF of Fractions 326/680,534/850 is 2/3400
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 680,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,850) = 170
common factors(in case of two or more numbers have common factors) = 1
GCF(680,850) x common factors =170 x 1 = 170
LCM(680,850) = ( 680 × 850 ) / 170
LCM(680,850) = 578000 / 170
LCM(680,850) = 3400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 326,534?
The HCF of 326,534 is 2
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 326/680, 534/850?
Answer: GCF of Numerators as per given numbers 326/680, 534/850 is
GCF of Numerators i.e. for 326,534 is 2
LCM of denominators i.e. for 680,850 is 3400.
Thus, GCF of Fractions is 2/3400.Finally, GCF of Fractions for 326/680, 534/850 is 2/3400.