Use our free GCF of Fractions Calculator tool to compute the GCF of 2615/648, 9423/7661 i.e 1/4964328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2615/648, 9423/7661.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2615/648,9423/7661
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 2615/648,9423/7661, numerators are 2615,9423
Denominators are 648,7661
The GCF of 2615,9423 is 1 .
LCM of 648,7661 is 4964328.
The greatest common factor of 2615/648,9423/7661 = [GCF of 2615,9423]/[LCM of 648,7661]= 1/4964328
Therefore, the GCF of 2615/648,9423/7661 is 1/4964328.
To find the highest common factor of 2615,9423, we have to find the factors of both numbers and list the highest common factor.
The factors of 2615 are 1, 5, 523, 2615
The factors of 9423 are 1, 3, 9, 27, 349, 1047, 3141, 9423
The HCF of 2615,9423 is 1.
Lets's calculate GCF of 2615,9423
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2615
:1,5,523,2615
Now, list down the factors of 9423
:1,3,9,27,349,1047,3141,9423
Greatest Common Factor
We found the factors 2615,9423 . The biggest common factor number is the GCF number.
So the greatest common factor 2615,9423 is 1.
Lets's calculate LCM of 648,7661
Given numbers has no common factors except 1. So, there LCM is their product i.e 4964328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4964328
Therefore, the GCF of Fractions 2615/648,9423/7661 is 1/4964328
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 648,7661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,7661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(648,7661) x common factors =1 x 1 = 1
LCM(648,7661) = ( 648 × 7661 ) / 1
LCM(648,7661) = 4964328 / 1
LCM(648,7661) = 4964328
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2615,9423?
The HCF of 2615,9423 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 2615/648, 9423/7661?
Answer: GCF of Numerators as per given numbers 2615/648, 9423/7661 is
GCF of Numerators i.e. for 2615,9423 is 1
LCM of denominators i.e. for 648,7661 is 4964328.
Thus, GCF of Fractions is 1/4964328.Finally, GCF of Fractions for 2615/648, 9423/7661 is 1/4964328.