GCF of 8585/30, 3131/284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8585/30, 3131/284 i.e 101/4260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8585/30, 3131/284.
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 8585/30,3131/284?
Given fractions are 8585/30,3131/284
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 8585/30,3131/284, numerators are 8585,3131
Denominators are 30,284
The GCF of 8585,3131 is 101 .
LCM of 30,284 is 4260.
The greatest common factor of 8585/30,3131/284 = [GCF of 8585,3131]/[LCM of 30,284]= 101/4260
Therefore, the GCF of 8585/30,3131/284 is 101/4260.
To find the highest common factor of 8585,3131, we have to find the factors of both numbers and list the highest common factor.
The factors of 8585 are 1, 5, 17, 85, 101, 505, 1717, 8585
The factors of 3131 are 1, 31, 101, 3131
The HCF of 8585,3131 is 101.
Lets's calculate GCF of 8585,3131
| 101 | 8585, 3131 |
| 85, 31 |
∴ So the GCF of the given numbers is 101 = 101
Greatest Common Factor of 8585,3131 By Matching Biggest Common Factor Method
Now, list down the factors of 8585
:1,5,17,85,101,505,1717,8585
Now, list down the factors of 3131
:1,31,101,3131
Greatest Common Factor
We found the factors 8585,3131 . The biggest common factor number is the GCF number.
So the greatest common factor 8585,3131 is 101.
Lets's calculate LCM of 30,284
| 2 | 30, 284 |
| 15, 142 |
∴ So the LCM of the given numbers is 2 x 15 x 142 = 4260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/4260
Therefore, the GCF of Fractions 8585/30,3131/284 is 101/4260
Least Common Multiple of 30,284 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 30,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,284) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(30,284) x common factors =2 x 1 = 2
LCM(30,284) = ( 30 × 284 ) / 2
LCM(30,284) = 8520 / 2
LCM(30,284) = 4260
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FAQs on GCF of Fractions of 8585/30, 3131/284
1. What is the HCF of 8585,3131?
The HCF of 8585,3131 is 101
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 8585/30, 3131/284?
Answer: GCF of Numerators as per given numbers 8585/30, 3131/284 is
GCF of Numerators i.e. for 8585,3131 is 101
LCM of denominators i.e. for 30,284 is 4260.
Thus, GCF of Fractions is 101/4260.Finally, GCF of Fractions for 8585/30, 3131/284 is 101/4260.