Use our free GCF of Fractions Calculator tool to compute the GCF of 24/53, 460/81, 761/961 i.e 1/4125573 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/53, 460/81, 761/961.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 24/53,460/81,761/961
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 24/53,460/81,761/961, numerators are 24,460,761
Denominators are 53,81,961
The GCF of 24,460,761 is 1 .
LCM of 53,81,961 is 4125573.
The greatest common factor of 24/53,460/81,761/961 = [GCF of 24,460,761]/[LCM of 53,81,961]= 1/4125573
Therefore, the GCF of 24/53,460/81,761/961 is 1/4125573.
To find the highest common factor of 24,460,761, we have to find the factors of both numbers and list the highest common factor.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
The factors of 761 are 1, 761
The HCF of 24,460,761 is 1.
Lets's calculate GCF of 24,460,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 460
:1,2,4,5,10,20,23,46,92,115,230,460
Now, list down the factors of 761
:1,761
Greatest Common Factor
We found the factors 24,460,761 . The biggest common factor number is the GCF number.
So the greatest common factor 24,460,761 is 1.
Lets's calculate LCM of 53,81,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 4125573
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4125573
Therefore, the GCF of Fractions 24/53,460/81,761/961 is 1/4125573
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 53,81,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,81,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,81,961) x common factors =1 x 1 = 1
LCM(53,81,961) = ( 53 × 81 × 961 ) / 1
LCM(53,81,961) = 4125573 / 1
LCM(53,81,961) = 4125573
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 24,460,761?
The HCF of 24,460,761 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 24/53, 460/81, 761/961?
Answer: GCF of Numerators as per given numbers 24/53, 460/81, 761/961 is
GCF of Numerators i.e. for 24,460,761 is 1
LCM of denominators i.e. for 53,81,961 is 4125573.
Thus, GCF of Fractions is 1/4125573.Finally, GCF of Fractions for 24/53, 460/81, 761/961 is 1/4125573.