Use our free GCF of Fractions Calculator tool to compute the GCF of 341/967, 624/205 i.e 1/198235 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/967, 624/205.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 341/967,624/205
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 341/967,624/205, numerators are 341,624
Denominators are 967,205
The GCF of 341,624 is 1 .
LCM of 967,205 is 198235.
The greatest common factor of 341/967,624/205 = [GCF of 341,624]/[LCM of 967,205]= 1/198235
Therefore, the GCF of 341/967,624/205 is 1/198235.
To find the highest common factor of 341,624, we have to find the factors of both numbers and list the highest common factor.
The factors of 341 are 1, 11, 31, 341
The factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
The HCF of 341,624 is 1.
Lets's calculate GCF of 341,624
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 341
:1,11,31,341
Now, list down the factors of 624
:1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 341,624 . The biggest common factor number is the GCF number.
So the greatest common factor 341,624 is 1.
Lets's calculate LCM of 967,205
Given numbers has no common factors except 1. So, there LCM is their product i.e 198235
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198235
Therefore, the GCF of Fractions 341/967,624/205 is 1/198235
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 967,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,205) x common factors =1 x 1 = 1
LCM(967,205) = ( 967 × 205 ) / 1
LCM(967,205) = 198235 / 1
LCM(967,205) = 198235
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 341,624?
The HCF of 341,624 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 341/967, 624/205?
Answer: GCF of Numerators as per given numbers 341/967, 624/205 is
GCF of Numerators i.e. for 341,624 is 1
LCM of denominators i.e. for 967,205 is 198235.
Thus, GCF of Fractions is 1/198235.Finally, GCF of Fractions for 341/967, 624/205 is 1/198235.