GCF of 8587/529, 1282/7038
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8587/529, 1282/7038 i.e 1/161874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8587/529, 1282/7038.
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 8587/529,1282/7038?
Given fractions are 8587/529,1282/7038
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 8587/529,1282/7038, numerators are 8587,1282
Denominators are 529,7038
The GCF of 8587,1282 is 1 .
LCM of 529,7038 is 161874.
The greatest common factor of 8587/529,1282/7038 = [GCF of 8587,1282]/[LCM of 529,7038]= 1/161874
Therefore, the GCF of 8587/529,1282/7038 is 1/161874.
To find the highest common factor of 8587,1282, we have to find the factors of both numbers and list the highest common factor.
The factors of 8587 are 1, 31, 277, 8587
The factors of 1282 are 1, 2, 641, 1282
The HCF of 8587,1282 is 1.
Lets's calculate GCF of 8587,1282
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8587,1282 By Matching Biggest Common Factor Method
Now, list down the factors of 8587
:1,31,277,8587
Now, list down the factors of 1282
:1,2,641,1282
Greatest Common Factor
We found the factors 8587,1282 . The biggest common factor number is the GCF number.
So the greatest common factor 8587,1282 is 1.
Lets's calculate LCM of 529,7038
| 23 | 529, 7038 |
| 23, 306 |
∴ So the LCM of the given numbers is 23 x 23 x 306 = 161874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161874
Therefore, the GCF of Fractions 8587/529,1282/7038 is 1/161874
Least Common Multiple of 529,7038 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 529,7038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,7038) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(529,7038) x common factors =23 x 1 = 23
LCM(529,7038) = ( 529 × 7038 ) / 23
LCM(529,7038) = 3723102 / 23
LCM(529,7038) = 161874
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FAQs on GCF of Fractions of 8587/529, 1282/7038
1. What is the HCF of 8587,1282?
The HCF of 8587,1282 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 8587/529, 1282/7038?
Answer: GCF of Numerators as per given numbers 8587/529, 1282/7038 is
GCF of Numerators i.e. for 8587,1282 is 1
LCM of denominators i.e. for 529,7038 is 161874.
Thus, GCF of Fractions is 1/161874.Finally, GCF of Fractions for 8587/529, 1282/7038 is 1/161874.