GCF of 2587/848, 6617/7982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2587/848, 6617/7982 i.e 13/3384368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2587/848, 6617/7982.
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 2587/848,6617/7982?
Given fractions are 2587/848,6617/7982
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 2587/848,6617/7982, numerators are 2587,6617
Denominators are 848,7982
The GCF of 2587,6617 is 13 .
LCM of 848,7982 is 3384368.
The greatest common factor of 2587/848,6617/7982 = [GCF of 2587,6617]/[LCM of 848,7982]= 13/3384368
Therefore, the GCF of 2587/848,6617/7982 is 13/3384368.
To find the highest common factor of 2587,6617, we have to find the factors of both numbers and list the highest common factor.
The factors of 2587 are 1, 13, 199, 2587
The factors of 6617 are 1, 13, 509, 6617
The HCF of 2587,6617 is 13.
Lets's calculate GCF of 2587,6617
| 13 | 2587, 6617 |
| 199, 509 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 2587,6617 By Matching Biggest Common Factor Method
Now, list down the factors of 2587
:1,13,199,2587
Now, list down the factors of 6617
:1,13,509,6617
Greatest Common Factor
We found the factors 2587,6617 . The biggest common factor number is the GCF number.
So the greatest common factor 2587,6617 is 13.
Lets's calculate LCM of 848,7982
| 2 | 848, 7982 |
| 424, 3991 |
∴ So the LCM of the given numbers is 2 x 424 x 3991 = 3384368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3384368
Therefore, the GCF of Fractions 2587/848,6617/7982 is 13/3384368
Least Common Multiple of 848,7982 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 848,7982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,7982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(848,7982) x common factors =2 x 1 = 2
LCM(848,7982) = ( 848 × 7982 ) / 2
LCM(848,7982) = 6768736 / 2
LCM(848,7982) = 3384368
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FAQs on GCF of Fractions of 2587/848, 6617/7982
1. What is the HCF of 2587,6617?
The HCF of 2587,6617 is 13
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 2587/848, 6617/7982?
Answer: GCF of Numerators as per given numbers 2587/848, 6617/7982 is
GCF of Numerators i.e. for 2587,6617 is 13
LCM of denominators i.e. for 848,7982 is 3384368.
Thus, GCF of Fractions is 13/3384368.Finally, GCF of Fractions for 2587/848, 6617/7982 is 13/3384368.