GCF of 1487/405, 8570/2935
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1487/405, 8570/2935 i.e 1/237735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1487/405, 8570/2935.
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 1487/405,8570/2935?
Given fractions are 1487/405,8570/2935
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 1487/405,8570/2935, numerators are 1487,8570
Denominators are 405,2935
The GCF of 1487,8570 is 1 .
LCM of 405,2935 is 237735.
The greatest common factor of 1487/405,8570/2935 = [GCF of 1487,8570]/[LCM of 405,2935]= 1/237735
Therefore, the GCF of 1487/405,8570/2935 is 1/237735.
To find the highest common factor of 1487,8570, we have to find the factors of both numbers and list the highest common factor.
The factors of 1487 are 1, 1487
The factors of 8570 are 1, 2, 5, 10, 857, 1714, 4285, 8570
The HCF of 1487,8570 is 1.
Lets's calculate GCF of 1487,8570
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1487,8570 By Matching Biggest Common Factor Method
Now, list down the factors of 1487
:1,1487
Now, list down the factors of 8570
:1,2,5,10,857,1714,4285,8570
Greatest Common Factor
We found the factors 1487,8570 . The biggest common factor number is the GCF number.
So the greatest common factor 1487,8570 is 1.
Lets's calculate LCM of 405,2935
| 5 | 405, 2935 |
| 81, 587 |
∴ So the LCM of the given numbers is 5 x 81 x 587 = 237735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237735
Therefore, the GCF of Fractions 1487/405,8570/2935 is 1/237735
Least Common Multiple of 405,2935 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 405,2935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,2935) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(405,2935) x common factors =5 x 1 = 5
LCM(405,2935) = ( 405 × 2935 ) / 5
LCM(405,2935) = 1188675 / 5
LCM(405,2935) = 237735
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FAQs on GCF of Fractions of 1487/405, 8570/2935
1. What is the HCF of 1487,8570?
The HCF of 1487,8570 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 1487/405, 8570/2935?
Answer: GCF of Numerators as per given numbers 1487/405, 8570/2935 is
GCF of Numerators i.e. for 1487,8570 is 1
LCM of denominators i.e. for 405,2935 is 237735.
Thus, GCF of Fractions is 1/237735.Finally, GCF of Fractions for 1487/405, 8570/2935 is 1/237735.