GCF of 9120/765, 5022/2738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9120/765, 5022/2738 i.e 6/2094570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9120/765, 5022/2738.
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 9120/765,5022/2738?
Given fractions are 9120/765,5022/2738
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 9120/765,5022/2738, numerators are 9120,5022
Denominators are 765,2738
The GCF of 9120,5022 is 6 .
LCM of 765,2738 is 2094570.
The greatest common factor of 9120/765,5022/2738 = [GCF of 9120,5022]/[LCM of 765,2738]= 6/2094570
Therefore, the GCF of 9120/765,5022/2738 is 6/2094570.
To find the highest common factor of 9120,5022, we have to find the factors of both numbers and list the highest common factor.
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 factors of 5022 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 81, 93, 162, 186, 279, 558, 837, 1674, 2511, 5022
The HCF of 9120,5022 is 6.
Lets's calculate GCF of 9120,5022
| 2 | 9120, 5022 |
| 3 | 4560, 2511 |
| 1520, 837 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9120,5022 By Matching Biggest Common Factor Method
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
Now, list down the factors of 5022
:1,2,3,6,9,18,27,31,54,62,81,93,162,186,279,558,837,1674,2511,5022
Greatest Common Factor
We found the factors 9120,5022 . The biggest common factor number is the GCF number.
So the greatest common factor 9120,5022 is 6.
Lets's calculate LCM of 765,2738
Given numbers has no common factors except 1. So, there LCM is their product i.e 2094570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2094570
Therefore, the GCF of Fractions 9120/765,5022/2738 is 6/2094570
Least Common Multiple of 765,2738 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 765,2738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,2738) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(765,2738) x common factors =1 x 1 = 1
LCM(765,2738) = ( 765 × 2738 ) / 1
LCM(765,2738) = 2094570 / 1
LCM(765,2738) = 2094570
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FAQs on GCF of Fractions of 9120/765, 5022/2738
1. What is the HCF of 9120,5022?
The HCF of 9120,5022 is 6
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 9120/765, 5022/2738?
Answer: GCF of Numerators as per given numbers 9120/765, 5022/2738 is
GCF of Numerators i.e. for 9120,5022 is 6
LCM of denominators i.e. for 765,2738 is 2094570.
Thus, GCF of Fractions is 6/2094570.Finally, GCF of Fractions for 9120/765, 5022/2738 is 6/2094570.