GCF of 7984/475, 9120/2826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7984/475, 9120/2826 i.e 16/1342350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7984/475, 9120/2826.
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 7984/475,9120/2826?
Given fractions are 7984/475,9120/2826
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 7984/475,9120/2826, numerators are 7984,9120
Denominators are 475,2826
The GCF of 7984,9120 is 16 .
LCM of 475,2826 is 1342350.
The greatest common factor of 7984/475,9120/2826 = [GCF of 7984,9120]/[LCM of 475,2826]= 16/1342350
Therefore, the GCF of 7984/475,9120/2826 is 16/1342350.
To find the highest common factor of 7984,9120, we have to find the factors of both numbers and list the highest common factor.
The factors of 7984 are 1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984
The factors of 9120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120
The HCF of 7984,9120 is 16.
Lets's calculate GCF of 7984,9120
| 2 | 7984, 9120 |
| 2 | 3992, 4560 |
| 2 | 1996, 2280 |
| 2 | 998, 1140 |
| 499, 570 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 7984,9120 By Matching Biggest Common Factor Method
Now, list down the factors of 7984
:1,2,4,8,16,499,998,1996,3992,7984
Now, list down the factors of 9120
:1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,32,38,40,48,57,60,76,80,95,96,114,120,152,160,190,228,240,285,304,380,456,480,570,608,760,912,1140,1520,1824,2280,3040,4560,9120
Greatest Common Factor
We found the factors 7984,9120 . The biggest common factor number is the GCF number.
So the greatest common factor 7984,9120 is 16.
Lets's calculate LCM of 475,2826
Given numbers has no common factors except 1. So, there LCM is their product i.e 1342350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1342350
Therefore, the GCF of Fractions 7984/475,9120/2826 is 16/1342350
Least Common Multiple of 475,2826 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 475,2826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,2826) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,2826) x common factors =1 x 1 = 1
LCM(475,2826) = ( 475 × 2826 ) / 1
LCM(475,2826) = 1342350 / 1
LCM(475,2826) = 1342350
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7984/475, 9120/2826
1. What is the HCF of 7984,9120?
The HCF of 7984,9120 is 16
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 7984/475, 9120/2826?
Answer: GCF of Numerators as per given numbers 7984/475, 9120/2826 is
GCF of Numerators i.e. for 7984,9120 is 16
LCM of denominators i.e. for 475,2826 is 1342350.
Thus, GCF of Fractions is 16/1342350.Finally, GCF of Fractions for 7984/475, 9120/2826 is 16/1342350.