GCF of 5873/648, 2219/8982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5873/648, 2219/8982 i.e 7/323352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5873/648, 2219/8982.
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 5873/648,2219/8982?
Given fractions are 5873/648,2219/8982
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 5873/648,2219/8982, numerators are 5873,2219
Denominators are 648,8982
The GCF of 5873,2219 is 7 .
LCM of 648,8982 is 323352.
The greatest common factor of 5873/648,2219/8982 = [GCF of 5873,2219]/[LCM of 648,8982]= 7/323352
Therefore, the GCF of 5873/648,2219/8982 is 7/323352.
To find the highest common factor of 5873,2219, we have to find the factors of both numbers and list the highest common factor.
The factors of 5873 are 1, 7, 839, 5873
The factors of 2219 are 1, 7, 317, 2219
The HCF of 5873,2219 is 7.
Lets's calculate GCF of 5873,2219
| 7 | 5873, 2219 |
| 839, 317 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5873,2219 By Matching Biggest Common Factor Method
Now, list down the factors of 5873
:1,7,839,5873
Now, list down the factors of 2219
:1,7,317,2219
Greatest Common Factor
We found the factors 5873,2219 . The biggest common factor number is the GCF number.
So the greatest common factor 5873,2219 is 7.
Lets's calculate LCM of 648,8982
| 2 | 648, 8982 |
| 3 | 324, 4491 |
| 3 | 108, 1497 |
| 36, 499 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 36 x 499 = 323352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/323352
Therefore, the GCF of Fractions 5873/648,2219/8982 is 7/323352
Least Common Multiple of 648,8982 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 648,8982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,8982) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(648,8982) x common factors =18 x 1 = 18
LCM(648,8982) = ( 648 × 8982 ) / 18
LCM(648,8982) = 5820336 / 18
LCM(648,8982) = 323352
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FAQs on GCF of Fractions of 5873/648, 2219/8982
1. What is the HCF of 5873,2219?
The HCF of 5873,2219 is 7
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 5873/648, 2219/8982?
Answer: GCF of Numerators as per given numbers 5873/648, 2219/8982 is
GCF of Numerators i.e. for 5873,2219 is 7
LCM of denominators i.e. for 648,8982 is 323352.
Thus, GCF of Fractions is 7/323352.Finally, GCF of Fractions for 5873/648, 2219/8982 is 7/323352.