GCF of 500/56, 549/720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 500/56, 549/720 i.e 1/5040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 500/56, 549/720.
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 500/56,549/720?
Given fractions are 500/56,549/720
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 500/56,549/720, numerators are 500,549
Denominators are 56,720
The GCF of 500,549 is 1 .
LCM of 56,720 is 5040.
The greatest common factor of 500/56,549/720 = [GCF of 500,549]/[LCM of 56,720]= 1/5040
Therefore, the GCF of 500/56,549/720 is 1/5040.
To find the highest common factor of 500,549, we have to find the factors of both numbers and list the highest common factor.
The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The factors of 549 are 1, 3, 9, 61, 183, 549
The HCF of 500,549 is 1.
Lets's calculate GCF of 500,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 500,549 By Matching Biggest Common Factor Method
Now, list down the factors of 500
:1,2,4,5,10,20,25,50,100,125,250,500
Now, list down the factors of 549
:1,3,9,61,183,549
Greatest Common Factor
We found the factors 500,549 . The biggest common factor number is the GCF number.
So the greatest common factor 500,549 is 1.
Lets's calculate LCM of 56,720
| 2 | 56, 720 |
| 2 | 28, 360 |
| 2 | 14, 180 |
| 7, 90 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 90 = 5040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5040
Therefore, the GCF of Fractions 500/56,549/720 is 1/5040
Least Common Multiple of 56,720 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 56,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,720) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(56,720) x common factors =8 x 1 = 8
LCM(56,720) = ( 56 × 720 ) / 8
LCM(56,720) = 40320 / 8
LCM(56,720) = 5040
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FAQs on GCF of Fractions of 500/56, 549/720
1. What is the HCF of 500,549?
The HCF of 500,549 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 500/56, 549/720?
Answer: GCF of Numerators as per given numbers 500/56, 549/720 is
GCF of Numerators i.e. for 500,549 is 1
LCM of denominators i.e. for 56,720 is 5040.
Thus, GCF of Fractions is 1/5040.Finally, GCF of Fractions for 500/56, 549/720 is 1/5040.