GCF of 9480/620, 2493/462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9480/620, 2493/462 i.e 3/143220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9480/620, 2493/462.
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 9480/620,2493/462?
Given fractions are 9480/620,2493/462
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 9480/620,2493/462, numerators are 9480,2493
Denominators are 620,462
The GCF of 9480,2493 is 3 .
LCM of 620,462 is 143220.
The greatest common factor of 9480/620,2493/462 = [GCF of 9480,2493]/[LCM of 620,462]= 3/143220
Therefore, the GCF of 9480/620,2493/462 is 3/143220.
To find the highest common factor of 9480,2493, we have to find the factors of both numbers and list the highest common factor.
The factors of 9480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79, 120, 158, 237, 316, 395, 474, 632, 790, 948, 1185, 1580, 1896, 2370, 3160, 4740, 9480
The factors of 2493 are 1, 3, 9, 277, 831, 2493
The HCF of 9480,2493 is 3.
Lets's calculate GCF of 9480,2493
| 3 | 9480, 2493 |
| 3160, 831 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9480,2493 By Matching Biggest Common Factor Method
Now, list down the factors of 9480
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,79,120,158,237,316,395,474,632,790,948,1185,1580,1896,2370,3160,4740,9480
Now, list down the factors of 2493
:1,3,9,277,831,2493
Greatest Common Factor
We found the factors 9480,2493 . The biggest common factor number is the GCF number.
So the greatest common factor 9480,2493 is 3.
Lets's calculate LCM of 620,462
| 2 | 620, 462 |
| 310, 231 |
∴ So the LCM of the given numbers is 2 x 310 x 231 = 143220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/143220
Therefore, the GCF of Fractions 9480/620,2493/462 is 3/143220
Least Common Multiple of 620,462 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 620,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(620,462) x common factors =2 x 1 = 2
LCM(620,462) = ( 620 × 462 ) / 2
LCM(620,462) = 286440 / 2
LCM(620,462) = 143220
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FAQs on GCF of Fractions of 9480/620, 2493/462
1. What is the HCF of 9480,2493?
The HCF of 9480,2493 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 9480/620, 2493/462?
Answer: GCF of Numerators as per given numbers 9480/620, 2493/462 is
GCF of Numerators i.e. for 9480,2493 is 3
LCM of denominators i.e. for 620,462 is 143220.
Thus, GCF of Fractions is 3/143220.Finally, GCF of Fractions for 9480/620, 2493/462 is 3/143220.