GCF of 2533/616, 8913/1582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2533/616, 8913/1582 i.e 1/69608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2533/616, 8913/1582.
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 2533/616,8913/1582?
Given fractions are 2533/616,8913/1582
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 2533/616,8913/1582, numerators are 2533,8913
Denominators are 616,1582
The GCF of 2533,8913 is 1 .
LCM of 616,1582 is 69608.
The greatest common factor of 2533/616,8913/1582 = [GCF of 2533,8913]/[LCM of 616,1582]= 1/69608
Therefore, the GCF of 2533/616,8913/1582 is 1/69608.
To find the highest common factor of 2533,8913, we have to find the factors of both numbers and list the highest common factor.
The factors of 2533 are 1, 17, 149, 2533
The factors of 8913 are 1, 3, 2971, 8913
The HCF of 2533,8913 is 1.
Lets's calculate GCF of 2533,8913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2533,8913 By Matching Biggest Common Factor Method
Now, list down the factors of 2533
:1,17,149,2533
Now, list down the factors of 8913
:1,3,2971,8913
Greatest Common Factor
We found the factors 2533,8913 . The biggest common factor number is the GCF number.
So the greatest common factor 2533,8913 is 1.
Lets's calculate LCM of 616,1582
| 2 | 616, 1582 |
| 7 | 308, 791 |
| 44, 113 |
∴ So the LCM of the given numbers is 2 x 7 x 44 x 113 = 69608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69608
Therefore, the GCF of Fractions 2533/616,8913/1582 is 1/69608
Least Common Multiple of 616,1582 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 616,1582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,1582) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(616,1582) x common factors =14 x 1 = 14
LCM(616,1582) = ( 616 × 1582 ) / 14
LCM(616,1582) = 974512 / 14
LCM(616,1582) = 69608
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FAQs on GCF of Fractions of 2533/616, 8913/1582
1. What is the HCF of 2533,8913?
The HCF of 2533,8913 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 2533/616, 8913/1582?
Answer: GCF of Numerators as per given numbers 2533/616, 8913/1582 is
GCF of Numerators i.e. for 2533,8913 is 1
LCM of denominators i.e. for 616,1582 is 69608.
Thus, GCF of Fractions is 1/69608.Finally, GCF of Fractions for 2533/616, 8913/1582 is 1/69608.