GCF of 4572/447, 2616/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4572/447, 2616/741 i.e 12/110409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4572/447, 2616/741.
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 4572/447,2616/741?
Given fractions are 4572/447,2616/741
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 4572/447,2616/741, numerators are 4572,2616
Denominators are 447,741
The GCF of 4572,2616 is 12 .
LCM of 447,741 is 110409.
The greatest common factor of 4572/447,2616/741 = [GCF of 4572,2616]/[LCM of 447,741]= 12/110409
Therefore, the GCF of 4572/447,2616/741 is 12/110409.
To find the highest common factor of 4572,2616, we have to find the factors of both numbers and list the highest common factor.
The factors of 4572 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 127, 254, 381, 508, 762, 1143, 1524, 2286, 4572
The factors of 2616 are 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308, 2616
The HCF of 4572,2616 is 12.
Lets's calculate GCF of 4572,2616
| 2 | 4572, 2616 |
| 2 | 2286, 1308 |
| 3 | 1143, 654 |
| 381, 218 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4572,2616 By Matching Biggest Common Factor Method
Now, list down the factors of 4572
:1,2,3,4,6,9,12,18,36,127,254,381,508,762,1143,1524,2286,4572
Now, list down the factors of 2616
:1,2,3,4,6,8,12,24,109,218,327,436,654,872,1308,2616
Greatest Common Factor
We found the factors 4572,2616 . The biggest common factor number is the GCF number.
So the greatest common factor 4572,2616 is 12.
Lets's calculate LCM of 447,741
| 3 | 447, 741 |
| 149, 247 |
∴ So the LCM of the given numbers is 3 x 149 x 247 = 110409
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/110409
Therefore, the GCF of Fractions 4572/447,2616/741 is 12/110409
Least Common Multiple of 447,741 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 447,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,741) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(447,741) x common factors =3 x 1 = 3
LCM(447,741) = ( 447 × 741 ) / 3
LCM(447,741) = 331227 / 3
LCM(447,741) = 110409
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FAQs on GCF of Fractions of 4572/447, 2616/741
1. What is the HCF of 4572,2616?
The HCF of 4572,2616 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 4572/447, 2616/741?
Answer: GCF of Numerators as per given numbers 4572/447, 2616/741 is
GCF of Numerators i.e. for 4572,2616 is 12
LCM of denominators i.e. for 447,741 is 110409.
Thus, GCF of Fractions is 12/110409.Finally, GCF of Fractions for 4572/447, 2616/741 is 12/110409.