GCF of 5570/594, 5835/5005
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5570/594, 5835/5005 i.e 5/270270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5570/594, 5835/5005.
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 5570/594,5835/5005?
Given fractions are 5570/594,5835/5005
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 5570/594,5835/5005, numerators are 5570,5835
Denominators are 594,5005
The GCF of 5570,5835 is 5 .
LCM of 594,5005 is 270270.
The greatest common factor of 5570/594,5835/5005 = [GCF of 5570,5835]/[LCM of 594,5005]= 5/270270
Therefore, the GCF of 5570/594,5835/5005 is 5/270270.
To find the highest common factor of 5570,5835, we have to find the factors of both numbers and list the highest common factor.
The factors of 5570 are 1, 2, 5, 10, 557, 1114, 2785, 5570
The factors of 5835 are 1, 3, 5, 15, 389, 1167, 1945, 5835
The HCF of 5570,5835 is 5.
Lets's calculate GCF of 5570,5835
| 5 | 5570, 5835 |
| 1114, 1167 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5570,5835 By Matching Biggest Common Factor Method
Now, list down the factors of 5570
:1,2,5,10,557,1114,2785,5570
Now, list down the factors of 5835
:1,3,5,15,389,1167,1945,5835
Greatest Common Factor
We found the factors 5570,5835 . The biggest common factor number is the GCF number.
So the greatest common factor 5570,5835 is 5.
Lets's calculate LCM of 594,5005
| 11 | 594, 5005 |
| 54, 455 |
∴ So the LCM of the given numbers is 11 x 54 x 455 = 270270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/270270
Therefore, the GCF of Fractions 5570/594,5835/5005 is 5/270270
Least Common Multiple of 594,5005 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 594,5005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,5005) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(594,5005) x common factors =11 x 1 = 11
LCM(594,5005) = ( 594 × 5005 ) / 11
LCM(594,5005) = 2972970 / 11
LCM(594,5005) = 270270
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FAQs on GCF of Fractions of 5570/594, 5835/5005
1. What is the HCF of 5570,5835?
The HCF of 5570,5835 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 5570/594, 5835/5005?
Answer: GCF of Numerators as per given numbers 5570/594, 5835/5005 is
GCF of Numerators i.e. for 5570,5835 is 5
LCM of denominators i.e. for 594,5005 is 270270.
Thus, GCF of Fractions is 5/270270.Finally, GCF of Fractions for 5570/594, 5835/5005 is 5/270270.