GCF of 2783/159, 5258/8724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2783/159, 5258/8724 i.e 11/462372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2783/159, 5258/8724.
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 2783/159,5258/8724?
Given fractions are 2783/159,5258/8724
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 2783/159,5258/8724, numerators are 2783,5258
Denominators are 159,8724
The GCF of 2783,5258 is 11 .
LCM of 159,8724 is 462372.
The greatest common factor of 2783/159,5258/8724 = [GCF of 2783,5258]/[LCM of 159,8724]= 11/462372
Therefore, the GCF of 2783/159,5258/8724 is 11/462372.
To find the highest common factor of 2783,5258, we have to find the factors of both numbers and list the highest common factor.
The factors of 2783 are 1, 11, 23, 121, 253, 2783
The factors of 5258 are 1, 2, 11, 22, 239, 478, 2629, 5258
The HCF of 2783,5258 is 11.
Lets's calculate GCF of 2783,5258
| 11 | 2783, 5258 |
| 253, 478 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2783,5258 By Matching Biggest Common Factor Method
Now, list down the factors of 2783
:1,11,23,121,253,2783
Now, list down the factors of 5258
:1,2,11,22,239,478,2629,5258
Greatest Common Factor
We found the factors 2783,5258 . The biggest common factor number is the GCF number.
So the greatest common factor 2783,5258 is 11.
Lets's calculate LCM of 159,8724
| 3 | 159, 8724 |
| 53, 2908 |
∴ So the LCM of the given numbers is 3 x 53 x 2908 = 462372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/462372
Therefore, the GCF of Fractions 2783/159,5258/8724 is 11/462372
Least Common Multiple of 159,8724 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 159,8724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,8724) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,8724) x common factors =3 x 1 = 3
LCM(159,8724) = ( 159 × 8724 ) / 3
LCM(159,8724) = 1387116 / 3
LCM(159,8724) = 462372
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FAQs on GCF of Fractions of 2783/159, 5258/8724
1. What is the HCF of 2783,5258?
The HCF of 2783,5258 is 11
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 2783/159, 5258/8724?
Answer: GCF of Numerators as per given numbers 2783/159, 5258/8724 is
GCF of Numerators i.e. for 2783,5258 is 11
LCM of denominators i.e. for 159,8724 is 462372.
Thus, GCF of Fractions is 11/462372.Finally, GCF of Fractions for 2783/159, 5258/8724 is 11/462372.