GCF of 6024/762, 4647/5667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6024/762, 4647/5667 i.e 3/1439418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6024/762, 4647/5667.
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 6024/762,4647/5667?
Given fractions are 6024/762,4647/5667
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 6024/762,4647/5667, numerators are 6024,4647
Denominators are 762,5667
The GCF of 6024,4647 is 3 .
LCM of 762,5667 is 1439418.
The greatest common factor of 6024/762,4647/5667 = [GCF of 6024,4647]/[LCM of 762,5667]= 3/1439418
Therefore, the GCF of 6024/762,4647/5667 is 3/1439418.
To find the highest common factor of 6024,4647, we have to find the factors of both numbers and list the highest common factor.
The factors of 6024 are 1, 2, 3, 4, 6, 8, 12, 24, 251, 502, 753, 1004, 1506, 2008, 3012, 6024
The factors of 4647 are 1, 3, 1549, 4647
The HCF of 6024,4647 is 3.
Lets's calculate GCF of 6024,4647
| 3 | 6024, 4647 |
| 2008, 1549 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6024,4647 By Matching Biggest Common Factor Method
Now, list down the factors of 6024
:1,2,3,4,6,8,12,24,251,502,753,1004,1506,2008,3012,6024
Now, list down the factors of 4647
:1,3,1549,4647
Greatest Common Factor
We found the factors 6024,4647 . The biggest common factor number is the GCF number.
So the greatest common factor 6024,4647 is 3.
Lets's calculate LCM of 762,5667
| 3 | 762, 5667 |
| 254, 1889 |
∴ So the LCM of the given numbers is 3 x 254 x 1889 = 1439418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1439418
Therefore, the GCF of Fractions 6024/762,4647/5667 is 3/1439418
Least Common Multiple of 762,5667 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 762,5667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,5667) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(762,5667) x common factors =3 x 1 = 3
LCM(762,5667) = ( 762 × 5667 ) / 3
LCM(762,5667) = 4318254 / 3
LCM(762,5667) = 1439418
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FAQs on GCF of Fractions of 6024/762, 4647/5667
1. What is the HCF of 6024,4647?
The HCF of 6024,4647 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 6024/762, 4647/5667?
Answer: GCF of Numerators as per given numbers 6024/762, 4647/5667 is
GCF of Numerators i.e. for 6024,4647 is 3
LCM of denominators i.e. for 762,5667 is 1439418.
Thus, GCF of Fractions is 3/1439418.Finally, GCF of Fractions for 6024/762, 4647/5667 is 3/1439418.