GCF of 572/20, 649/4560
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 572/20, 649/4560 i.e 11/4560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 572/20, 649/4560.
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 572/20,649/4560?
Given fractions are 572/20,649/4560
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 572/20,649/4560, numerators are 572,649
Denominators are 20,4560
The GCF of 572,649 is 11 .
LCM of 20,4560 is 4560.
The greatest common factor of 572/20,649/4560 = [GCF of 572,649]/[LCM of 20,4560]= 11/4560
Therefore, the GCF of 572/20,649/4560 is 11/4560.
To find the highest common factor of 572,649, we have to find the factors of both numbers and list the highest common factor.
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
The factors of 649 are 1, 11, 59, 649
The HCF of 572,649 is 11.
Lets's calculate GCF of 572,649
| 11 | 572, 649 |
| 52, 59 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 572,649 By Matching Biggest Common Factor Method
Now, list down the factors of 572
:1,2,4,11,13,22,26,44,52,143,286,572
Now, list down the factors of 649
:1,11,59,649
Greatest Common Factor
We found the factors 572,649 . The biggest common factor number is the GCF number.
So the greatest common factor 572,649 is 11.
Lets's calculate LCM of 20,4560
| 2 | 20, 4560 |
| 2 | 10, 2280 |
| 5 | 5, 1140 |
| 1, 228 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 228 = 4560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/4560
Therefore, the GCF of Fractions 572/20,649/4560 is 11/4560
Least Common Multiple of 20,4560 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 20,4560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,4560) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(20,4560) x common factors =20 x 1 = 20
LCM(20,4560) = ( 20 × 4560 ) / 20
LCM(20,4560) = 91200 / 20
LCM(20,4560) = 4560
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FAQs on GCF of Fractions of 572/20, 649/4560
1. What is the HCF of 572,649?
The HCF of 572,649 is 11
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 572/20, 649/4560?
Answer: GCF of Numerators as per given numbers 572/20, 649/4560 is
GCF of Numerators i.e. for 572,649 is 11
LCM of denominators i.e. for 20,4560 is 4560.
Thus, GCF of Fractions is 11/4560.Finally, GCF of Fractions for 572/20, 649/4560 is 11/4560.