GCF of 6270/459, 4533/1572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6270/459, 4533/1572 i.e 3/240516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6270/459, 4533/1572.
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 6270/459,4533/1572?
Given fractions are 6270/459,4533/1572
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 6270/459,4533/1572, numerators are 6270,4533
Denominators are 459,1572
The GCF of 6270,4533 is 3 .
LCM of 459,1572 is 240516.
The greatest common factor of 6270/459,4533/1572 = [GCF of 6270,4533]/[LCM of 459,1572]= 3/240516
Therefore, the GCF of 6270/459,4533/1572 is 3/240516.
To find the highest common factor of 6270,4533, we have to find the factors of both numbers and list the highest common factor.
The factors of 6270 are 1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 30, 33, 38, 55, 57, 66, 95, 110, 114, 165, 190, 209, 285, 330, 418, 570, 627, 1045, 1254, 2090, 3135, 6270
The factors of 4533 are 1, 3, 1511, 4533
The HCF of 6270,4533 is 3.
Lets's calculate GCF of 6270,4533
| 3 | 6270, 4533 |
| 2090, 1511 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6270,4533 By Matching Biggest Common Factor Method
Now, list down the factors of 6270
:1,2,3,5,6,10,11,15,19,22,30,33,38,55,57,66,95,110,114,165,190,209,285,330,418,570,627,1045,1254,2090,3135,6270
Now, list down the factors of 4533
:1,3,1511,4533
Greatest Common Factor
We found the factors 6270,4533 . The biggest common factor number is the GCF number.
So the greatest common factor 6270,4533 is 3.
Lets's calculate LCM of 459,1572
| 3 | 459, 1572 |
| 153, 524 |
∴ So the LCM of the given numbers is 3 x 153 x 524 = 240516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/240516
Therefore, the GCF of Fractions 6270/459,4533/1572 is 3/240516
Least Common Multiple of 459,1572 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 459,1572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,1572) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(459,1572) x common factors =3 x 1 = 3
LCM(459,1572) = ( 459 × 1572 ) / 3
LCM(459,1572) = 721548 / 3
LCM(459,1572) = 240516
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FAQs on GCF of Fractions of 6270/459, 4533/1572
1. What is the HCF of 6270,4533?
The HCF of 6270,4533 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 6270/459, 4533/1572?
Answer: GCF of Numerators as per given numbers 6270/459, 4533/1572 is
GCF of Numerators i.e. for 6270,4533 is 3
LCM of denominators i.e. for 459,1572 is 240516.
Thus, GCF of Fractions is 3/240516.Finally, GCF of Fractions for 6270/459, 4533/1572 is 3/240516.