GCF of 2532/415, 6024/3608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2532/415, 6024/3608 i.e 12/1497320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2532/415, 6024/3608.
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 2532/415,6024/3608?
Given fractions are 2532/415,6024/3608
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 2532/415,6024/3608, numerators are 2532,6024
Denominators are 415,3608
The GCF of 2532,6024 is 12 .
LCM of 415,3608 is 1497320.
The greatest common factor of 2532/415,6024/3608 = [GCF of 2532,6024]/[LCM of 415,3608]= 12/1497320
Therefore, the GCF of 2532/415,6024/3608 is 12/1497320.
To find the highest common factor of 2532,6024, we have to find the factors of both numbers and list the highest common factor.
The factors of 2532 are 1, 2, 3, 4, 6, 12, 211, 422, 633, 844, 1266, 2532
The factors of 6024 are 1, 2, 3, 4, 6, 8, 12, 24, 251, 502, 753, 1004, 1506, 2008, 3012, 6024
The HCF of 2532,6024 is 12.
Lets's calculate GCF of 2532,6024
| 2 | 2532, 6024 |
| 2 | 1266, 3012 |
| 3 | 633, 1506 |
| 211, 502 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2532,6024 By Matching Biggest Common Factor Method
Now, list down the factors of 2532
:1,2,3,4,6,12,211,422,633,844,1266,2532
Now, list down the factors of 6024
:1,2,3,4,6,8,12,24,251,502,753,1004,1506,2008,3012,6024
Greatest Common Factor
We found the factors 2532,6024 . The biggest common factor number is the GCF number.
So the greatest common factor 2532,6024 is 12.
Lets's calculate LCM of 415,3608
Given numbers has no common factors except 1. So, there LCM is their product i.e 1497320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1497320
Therefore, the GCF of Fractions 2532/415,6024/3608 is 12/1497320
Least Common Multiple of 415,3608 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 415,3608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,3608) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,3608) x common factors =1 x 1 = 1
LCM(415,3608) = ( 415 × 3608 ) / 1
LCM(415,3608) = 1497320 / 1
LCM(415,3608) = 1497320
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FAQs on GCF of Fractions of 2532/415, 6024/3608
1. What is the HCF of 2532,6024?
The HCF of 2532,6024 is 12
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 2532/415, 6024/3608?
Answer: GCF of Numerators as per given numbers 2532/415, 6024/3608 is
GCF of Numerators i.e. for 2532,6024 is 12
LCM of denominators i.e. for 415,3608 is 1497320.
Thus, GCF of Fractions is 12/1497320.Finally, GCF of Fractions for 2532/415, 6024/3608 is 12/1497320.