GCF of 6120/404, 7464/953
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6120/404, 7464/953 i.e 24/385012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6120/404, 7464/953.
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 6120/404,7464/953?
Given fractions are 6120/404,7464/953
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 6120/404,7464/953, numerators are 6120,7464
Denominators are 404,953
The GCF of 6120,7464 is 24 .
LCM of 404,953 is 385012.
The greatest common factor of 6120/404,7464/953 = [GCF of 6120,7464]/[LCM of 404,953]= 24/385012
Therefore, the GCF of 6120/404,7464/953 is 24/385012.
To find the highest common factor of 6120,7464, we have to find the factors of both numbers and list the highest common factor.
The factors of 6120 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 30, 34, 36, 40, 45, 51, 60, 68, 72, 85, 90, 102, 120, 136, 153, 170, 180, 204, 255, 306, 340, 360, 408, 510, 612, 680, 765, 1020, 1224, 1530, 2040, 3060, 6120
The factors of 7464 are 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464
The HCF of 6120,7464 is 24.
Lets's calculate GCF of 6120,7464
| 2 | 6120, 7464 |
| 2 | 3060, 3732 |
| 2 | 1530, 1866 |
| 3 | 765, 933 |
| 255, 311 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 6120,7464 By Matching Biggest Common Factor Method
Now, list down the factors of 6120
:1,2,3,4,5,6,8,9,10,12,15,17,18,20,24,30,34,36,40,45,51,60,68,72,85,90,102,120,136,153,170,180,204,255,306,340,360,408,510,612,680,765,1020,1224,1530,2040,3060,6120
Now, list down the factors of 7464
:1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464
Greatest Common Factor
We found the factors 6120,7464 . The biggest common factor number is the GCF number.
So the greatest common factor 6120,7464 is 24.
Lets's calculate LCM of 404,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 385012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/385012
Therefore, the GCF of Fractions 6120/404,7464/953 is 24/385012
Least Common Multiple of 404,953 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 404,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,953) x common factors =1 x 1 = 1
LCM(404,953) = ( 404 × 953 ) / 1
LCM(404,953) = 385012 / 1
LCM(404,953) = 385012
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FAQs on GCF of Fractions of 6120/404, 7464/953
1. What is the HCF of 6120,7464?
The HCF of 6120,7464 is 24
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 6120/404, 7464/953?
Answer: GCF of Numerators as per given numbers 6120/404, 7464/953 is
GCF of Numerators i.e. for 6120,7464 is 24
LCM of denominators i.e. for 404,953 is 385012.
Thus, GCF of Fractions is 24/385012.Finally, GCF of Fractions for 6120/404, 7464/953 is 24/385012.