GCF of 8997/454, 9960/7928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8997/454, 9960/7928 i.e 3/1799656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8997/454, 9960/7928.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8997/454,9960/7928?
Given fractions are 8997/454,9960/7928
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 8997/454,9960/7928, numerators are 8997,9960
Denominators are 454,7928
The GCF of 8997,9960 is 3 .
LCM of 454,7928 is 1799656.
The greatest common factor of 8997/454,9960/7928 = [GCF of 8997,9960]/[LCM of 454,7928]= 3/1799656
Therefore, the GCF of 8997/454,9960/7928 is 3/1799656.
To find the highest common factor of 8997,9960, we have to find the factors of both numbers and list the highest common factor.
The factors of 8997 are 1, 3, 2999, 8997
The factors of 9960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960
The HCF of 8997,9960 is 3.
Lets's calculate GCF of 8997,9960
| 3 | 8997, 9960 |
| 2999, 3320 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8997,9960 By Matching Biggest Common Factor Method
Now, list down the factors of 8997
:1,3,2999,8997
Now, list down the factors of 9960
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960
Greatest Common Factor
We found the factors 8997,9960 . The biggest common factor number is the GCF number.
So the greatest common factor 8997,9960 is 3.
Lets's calculate LCM of 454,7928
| 2 | 454, 7928 |
| 227, 3964 |
∴ So the LCM of the given numbers is 2 x 227 x 3964 = 1799656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1799656
Therefore, the GCF of Fractions 8997/454,9960/7928 is 3/1799656
Least Common Multiple of 454,7928 with GCF Formula
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 454,7928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,7928) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,7928) x common factors =2 x 1 = 2
LCM(454,7928) = ( 454 × 7928 ) / 2
LCM(454,7928) = 3599312 / 2
LCM(454,7928) = 1799656
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8997/454, 9960/7928
1. What is the HCF of 8997,9960?
The HCF of 8997,9960 is 3
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 8997/454, 9960/7928?
Answer: GCF of Numerators as per given numbers 8997/454, 9960/7928 is
GCF of Numerators i.e. for 8997,9960 is 3
LCM of denominators i.e. for 454,7928 is 1799656.
Thus, GCF of Fractions is 3/1799656.Finally, GCF of Fractions for 8997/454, 9960/7928 is 3/1799656.