GCF of 8728/529, 6022/6486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8728/529, 6022/6486 i.e 2/149178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8728/529, 6022/6486.
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 8728/529,6022/6486?
Given fractions are 8728/529,6022/6486
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 8728/529,6022/6486, numerators are 8728,6022
Denominators are 529,6486
The GCF of 8728,6022 is 2 .
LCM of 529,6486 is 149178.
The greatest common factor of 8728/529,6022/6486 = [GCF of 8728,6022]/[LCM of 529,6486]= 2/149178
Therefore, the GCF of 8728/529,6022/6486 is 2/149178.
To find the highest common factor of 8728,6022, we have to find the factors of both numbers and list the highest common factor.
The factors of 8728 are 1, 2, 4, 8, 1091, 2182, 4364, 8728
The factors of 6022 are 1, 2, 3011, 6022
The HCF of 8728,6022 is 2.
Lets's calculate GCF of 8728,6022
| 2 | 8728, 6022 |
| 4364, 3011 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8728,6022 By Matching Biggest Common Factor Method
Now, list down the factors of 8728
:1,2,4,8,1091,2182,4364,8728
Now, list down the factors of 6022
:1,2,3011,6022
Greatest Common Factor
We found the factors 8728,6022 . The biggest common factor number is the GCF number.
So the greatest common factor 8728,6022 is 2.
Lets's calculate LCM of 529,6486
| 23 | 529, 6486 |
| 23, 282 |
∴ So the LCM of the given numbers is 23 x 23 x 282 = 149178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/149178
Therefore, the GCF of Fractions 8728/529,6022/6486 is 2/149178
Least Common Multiple of 529,6486 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 529,6486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,6486) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(529,6486) x common factors =23 x 1 = 23
LCM(529,6486) = ( 529 × 6486 ) / 23
LCM(529,6486) = 3431094 / 23
LCM(529,6486) = 149178
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FAQs on GCF of Fractions of 8728/529, 6022/6486
1. What is the HCF of 8728,6022?
The HCF of 8728,6022 is 2
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 8728/529, 6022/6486?
Answer: GCF of Numerators as per given numbers 8728/529, 6022/6486 is
GCF of Numerators i.e. for 8728,6022 is 2
LCM of denominators i.e. for 529,6486 is 149178.
Thus, GCF of Fractions is 2/149178.Finally, GCF of Fractions for 8728/529, 6022/6486 is 2/149178.