GCF of 265/444, 4560/573
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 265/444, 4560/573 i.e 5/84804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 265/444, 4560/573.
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 265/444,4560/573?
Given fractions are 265/444,4560/573
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 265/444,4560/573, numerators are 265,4560
Denominators are 444,573
The GCF of 265,4560 is 5 .
LCM of 444,573 is 84804.
The greatest common factor of 265/444,4560/573 = [GCF of 265,4560]/[LCM of 444,573]= 5/84804
Therefore, the GCF of 265/444,4560/573 is 5/84804.
To find the highest common factor of 265,4560, we have to find the factors of both numbers and list the highest common factor.
The factors of 265 are 1, 5, 53, 265
The factors of 4560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 38, 40, 48, 57, 60, 76, 80, 95, 114, 120, 152, 190, 228, 240, 285, 304, 380, 456, 570, 760, 912, 1140, 1520, 2280, 4560
The HCF of 265,4560 is 5.
Lets's calculate GCF of 265,4560
| 5 | 265, 4560 |
| 53, 912 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 265,4560 By Matching Biggest Common Factor Method
Now, list down the factors of 265
:1,5,53,265
Now, list down the factors of 4560
:1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,38,40,48,57,60,76,80,95,114,120,152,190,228,240,285,304,380,456,570,760,912,1140,1520,2280,4560
Greatest Common Factor
We found the factors 265,4560 . The biggest common factor number is the GCF number.
So the greatest common factor 265,4560 is 5.
Lets's calculate LCM of 444,573
| 3 | 444, 573 |
| 148, 191 |
∴ So the LCM of the given numbers is 3 x 148 x 191 = 84804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/84804
Therefore, the GCF of Fractions 265/444,4560/573 is 5/84804
Least Common Multiple of 444,573 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 444,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,573) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(444,573) x common factors =3 x 1 = 3
LCM(444,573) = ( 444 × 573 ) / 3
LCM(444,573) = 254412 / 3
LCM(444,573) = 84804
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FAQs on GCF of Fractions of 265/444, 4560/573
1. What is the HCF of 265,4560?
The HCF of 265,4560 is 5
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 265/444, 4560/573?
Answer: GCF of Numerators as per given numbers 265/444, 4560/573 is
GCF of Numerators i.e. for 265,4560 is 5
LCM of denominators i.e. for 444,573 is 84804.
Thus, GCF of Fractions is 5/84804.Finally, GCF of Fractions for 265/444, 4560/573 is 5/84804.