GCF of 1512/415, 8555/865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1512/415, 8555/865 i.e 1/71795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1512/415, 8555/865.
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 1512/415,8555/865?
Given fractions are 1512/415,8555/865
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 1512/415,8555/865, numerators are 1512,8555
Denominators are 415,865
The GCF of 1512,8555 is 1 .
LCM of 415,865 is 71795.
The greatest common factor of 1512/415,8555/865 = [GCF of 1512,8555]/[LCM of 415,865]= 1/71795
Therefore, the GCF of 1512/415,8555/865 is 1/71795.
To find the highest common factor of 1512,8555, we have to find the factors of both numbers and list the highest common factor.
The factors of 1512 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512
The factors of 8555 are 1, 5, 29, 59, 145, 295, 1711, 8555
The HCF of 1512,8555 is 1.
Lets's calculate GCF of 1512,8555
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1512,8555 By Matching Biggest Common Factor Method
Now, list down the factors of 1512
:1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512
Now, list down the factors of 8555
:1,5,29,59,145,295,1711,8555
Greatest Common Factor
We found the factors 1512,8555 . The biggest common factor number is the GCF number.
So the greatest common factor 1512,8555 is 1.
Lets's calculate LCM of 415,865
| 5 | 415, 865 |
| 83, 173 |
∴ So the LCM of the given numbers is 5 x 83 x 173 = 71795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71795
Therefore, the GCF of Fractions 1512/415,8555/865 is 1/71795
Least Common Multiple of 415,865 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 415,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,865) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(415,865) x common factors =5 x 1 = 5
LCM(415,865) = ( 415 × 865 ) / 5
LCM(415,865) = 358975 / 5
LCM(415,865) = 71795
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FAQs on GCF of Fractions of 1512/415, 8555/865
1. What is the HCF of 1512,8555?
The HCF of 1512,8555 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 1512/415, 8555/865?
Answer: GCF of Numerators as per given numbers 1512/415, 8555/865 is
GCF of Numerators i.e. for 1512,8555 is 1
LCM of denominators i.e. for 415,865 is 71795.
Thus, GCF of Fractions is 1/71795.Finally, GCF of Fractions for 1512/415, 8555/865 is 1/71795.