GCF of 8015/558, 5219/212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8015/558, 5219/212 i.e 1/59148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8015/558, 5219/212.
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 8015/558,5219/212?
Given fractions are 8015/558,5219/212
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 8015/558,5219/212, numerators are 8015,5219
Denominators are 558,212
The GCF of 8015,5219 is 1 .
LCM of 558,212 is 59148.
The greatest common factor of 8015/558,5219/212 = [GCF of 8015,5219]/[LCM of 558,212]= 1/59148
Therefore, the GCF of 8015/558,5219/212 is 1/59148.
To find the highest common factor of 8015,5219, we have to find the factors of both numbers and list the highest common factor.
The factors of 8015 are 1, 5, 7, 35, 229, 1145, 1603, 8015
The factors of 5219 are 1, 17, 307, 5219
The HCF of 8015,5219 is 1.
Lets's calculate GCF of 8015,5219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8015,5219 By Matching Biggest Common Factor Method
Now, list down the factors of 8015
:1,5,7,35,229,1145,1603,8015
Now, list down the factors of 5219
:1,17,307,5219
Greatest Common Factor
We found the factors 8015,5219 . The biggest common factor number is the GCF number.
So the greatest common factor 8015,5219 is 1.
Lets's calculate LCM of 558,212
| 2 | 558, 212 |
| 279, 106 |
∴ So the LCM of the given numbers is 2 x 279 x 106 = 59148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59148
Therefore, the GCF of Fractions 8015/558,5219/212 is 1/59148
Least Common Multiple of 558,212 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 558,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,212) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(558,212) x common factors =2 x 1 = 2
LCM(558,212) = ( 558 × 212 ) / 2
LCM(558,212) = 118296 / 2
LCM(558,212) = 59148
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FAQs on GCF of Fractions of 8015/558, 5219/212
1. What is the HCF of 8015,5219?
The HCF of 8015,5219 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 8015/558, 5219/212?
Answer: GCF of Numerators as per given numbers 8015/558, 5219/212 is
GCF of Numerators i.e. for 8015,5219 is 1
LCM of denominators i.e. for 558,212 is 59148.
Thus, GCF of Fractions is 1/59148.Finally, GCF of Fractions for 8015/558, 5219/212 is 1/59148.