GCF of 5285/528, 5850/133
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5285/528, 5850/133 i.e 5/70224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5285/528, 5850/133.
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 5285/528,5850/133?
Given fractions are 5285/528,5850/133
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 5285/528,5850/133, numerators are 5285,5850
Denominators are 528,133
The GCF of 5285,5850 is 5 .
LCM of 528,133 is 70224.
The greatest common factor of 5285/528,5850/133 = [GCF of 5285,5850]/[LCM of 528,133]= 5/70224
Therefore, the GCF of 5285/528,5850/133 is 5/70224.
To find the highest common factor of 5285,5850, we have to find the factors of both numbers and list the highest common factor.
The factors of 5285 are 1, 5, 7, 35, 151, 755, 1057, 5285
The factors of 5850 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 195, 225, 234, 325, 390, 450, 585, 650, 975, 1170, 1950, 2925, 5850
The HCF of 5285,5850 is 5.
Lets's calculate GCF of 5285,5850
| 5 | 5285, 5850 |
| 1057, 1170 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5285,5850 By Matching Biggest Common Factor Method
Now, list down the factors of 5285
:1,5,7,35,151,755,1057,5285
Now, list down the factors of 5850
:1,2,3,5,6,9,10,13,15,18,25,26,30,39,45,50,65,75,78,90,117,130,150,195,225,234,325,390,450,585,650,975,1170,1950,2925,5850
Greatest Common Factor
We found the factors 5285,5850 . The biggest common factor number is the GCF number.
So the greatest common factor 5285,5850 is 5.
Lets's calculate LCM of 528,133
Given numbers has no common factors except 1. So, there LCM is their product i.e 70224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/70224
Therefore, the GCF of Fractions 5285/528,5850/133 is 5/70224
Least Common Multiple of 528,133 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 528,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(528,133) x common factors =1 x 1 = 1
LCM(528,133) = ( 528 × 133 ) / 1
LCM(528,133) = 70224 / 1
LCM(528,133) = 70224
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FAQs on GCF of Fractions of 5285/528, 5850/133
1. What is the HCF of 5285,5850?
The HCF of 5285,5850 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 5285/528, 5850/133?
Answer: GCF of Numerators as per given numbers 5285/528, 5850/133 is
GCF of Numerators i.e. for 5285,5850 is 5
LCM of denominators i.e. for 528,133 is 70224.
Thus, GCF of Fractions is 5/70224.Finally, GCF of Fractions for 5285/528, 5850/133 is 5/70224.