GCF of 5594/408, 1506/575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5594/408, 1506/575 i.e 2/234600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5594/408, 1506/575.
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 5594/408,1506/575?
Given fractions are 5594/408,1506/575
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 5594/408,1506/575, numerators are 5594,1506
Denominators are 408,575
The GCF of 5594,1506 is 2 .
LCM of 408,575 is 234600.
The greatest common factor of 5594/408,1506/575 = [GCF of 5594,1506]/[LCM of 408,575]= 2/234600
Therefore, the GCF of 5594/408,1506/575 is 2/234600.
To find the highest common factor of 5594,1506, we have to find the factors of both numbers and list the highest common factor.
The factors of 5594 are 1, 2, 2797, 5594
The factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506
The HCF of 5594,1506 is 2.
Lets's calculate GCF of 5594,1506
| 2 | 5594, 1506 |
| 2797, 753 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5594,1506 By Matching Biggest Common Factor Method
Now, list down the factors of 5594
:1,2,2797,5594
Now, list down the factors of 1506
:1,2,3,6,251,502,753,1506
Greatest Common Factor
We found the factors 5594,1506 . The biggest common factor number is the GCF number.
So the greatest common factor 5594,1506 is 2.
Lets's calculate LCM of 408,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 234600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/234600
Therefore, the GCF of Fractions 5594/408,1506/575 is 2/234600
Least Common Multiple of 408,575 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 408,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(408,575) x common factors =1 x 1 = 1
LCM(408,575) = ( 408 × 575 ) / 1
LCM(408,575) = 234600 / 1
LCM(408,575) = 234600
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FAQs on GCF of Fractions of 5594/408, 1506/575
1. What is the HCF of 5594,1506?
The HCF of 5594,1506 is 2
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 5594/408, 1506/575?
Answer: GCF of Numerators as per given numbers 5594/408, 1506/575 is
GCF of Numerators i.e. for 5594,1506 is 2
LCM of denominators i.e. for 408,575 is 234600.
Thus, GCF of Fractions is 2/234600.Finally, GCF of Fractions for 5594/408, 1506/575 is 2/234600.