Use our free GCF of Fractions Calculator tool to compute the GCF of 724/941, 407/267 i.e 1/251247 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/941, 407/267.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 724/941,407/267
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 724/941,407/267, numerators are 724,407
Denominators are 941,267
The GCF of 724,407 is 1 .
LCM of 941,267 is 251247.
The greatest common factor of 724/941,407/267 = [GCF of 724,407]/[LCM of 941,267]= 1/251247
Therefore, the GCF of 724/941,407/267 is 1/251247.
To find the highest common factor of 724,407, we have to find the factors of both numbers and list the highest common factor.
The factors of 724 are 1, 2, 4, 181, 362, 724
The factors of 407 are 1, 11, 37, 407
The HCF of 724,407 is 1.
Lets's calculate GCF of 724,407
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 724
:1,2,4,181,362,724
Now, list down the factors of 407
:1,11,37,407
Greatest Common Factor
We found the factors 724,407 . The biggest common factor number is the GCF number.
So the greatest common factor 724,407 is 1.
Lets's calculate LCM of 941,267
Given numbers has no common factors except 1. So, there LCM is their product i.e 251247
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251247
Therefore, the GCF of Fractions 724/941,407/267 is 1/251247
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 941,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(941,267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(941,267) x common factors =1 x 1 = 1
LCM(941,267) = ( 941 × 267 ) / 1
LCM(941,267) = 251247 / 1
LCM(941,267) = 251247
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 724,407?
The HCF of 724,407 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 724/941, 407/267?
Answer: GCF of Numerators as per given numbers 724/941, 407/267 is
GCF of Numerators i.e. for 724,407 is 1
LCM of denominators i.e. for 941,267 is 251247.
Thus, GCF of Fractions is 1/251247.Finally, GCF of Fractions for 724/941, 407/267 is 1/251247.