GCF of 63/507, 64/573, 549/800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 63/507, 64/573, 549/800 i.e 1/77469600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/507, 64/573, 549/800.
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 63/507,64/573,549/800?
Given fractions are 63/507,64/573,549/800
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 63/507,64/573,549/800, numerators are 63,64,549
Denominators are 507,573,800
The GCF of 63,64,549 is 1 .
LCM of 507,573,800 is 77469600.
The greatest common factor of 63/507,64/573,549/800 = [GCF of 63,64,549]/[LCM of 507,573,800]= 1/77469600
Therefore, the GCF of 63/507,64/573,549/800 is 1/77469600.
To find the highest common factor of 63,64,549, we have to find the factors of both numbers and list the highest common factor.
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 549 are 1, 3, 9, 61, 183, 549
The HCF of 63,64,549 is 1.
Lets's calculate GCF of 63,64,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 63,64,549 By Matching Biggest Common Factor Method
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 549
:1,3,9,61,183,549
Greatest Common Factor
We found the factors 63,64,549 . The biggest common factor number is the GCF number.
So the greatest common factor 63,64,549 is 1.
Lets's calculate LCM of 507,573,800
| 3 | 507, 573, 800 |
| 169, 191, 800 |
∴ So the LCM of the given numbers is 3 x 169 x 191 x 800 = 77469600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77469600
Therefore, the GCF of Fractions 63/507,64/573,549/800 is 1/77469600
Least Common Multiple of 507,573,800 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 507,573,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,573,800) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(507,573,800) x common factors =1 x 3 = 3
LCM(507,573,800) = ( 507 × 573 × 800 ) / 3
LCM(507,573,800) = 232408800 / 3
LCM(507,573,800) = 77469600
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FAQs on GCF of Fractions of 63/507, 64/573, 549/800
1. What is the HCF of 63,64,549?
The HCF of 63,64,549 is 1
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 63/507, 64/573, 549/800?
Answer: GCF of Numerators as per given numbers 63/507, 64/573, 549/800 is
GCF of Numerators i.e. for 63,64,549 is 1
LCM of denominators i.e. for 507,573,800 is 77469600.
Thus, GCF of Fractions is 1/77469600.Finally, GCF of Fractions for 63/507, 64/573, 549/800 is 1/77469600.