GCF of 5724/858, 2249/715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5724/858, 2249/715 i.e 1/4290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5724/858, 2249/715.
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 5724/858,2249/715?
Given fractions are 5724/858,2249/715
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 5724/858,2249/715, numerators are 5724,2249
Denominators are 858,715
The GCF of 5724,2249 is 1 .
LCM of 858,715 is 4290.
The greatest common factor of 5724/858,2249/715 = [GCF of 5724,2249]/[LCM of 858,715]= 1/4290
Therefore, the GCF of 5724/858,2249/715 is 1/4290.
To find the highest common factor of 5724,2249, we have to find the factors of both numbers and list the highest common factor.
The factors of 5724 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724
The factors of 2249 are 1, 13, 173, 2249
The HCF of 5724,2249 is 1.
Lets's calculate GCF of 5724,2249
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5724,2249 By Matching Biggest Common Factor Method
Now, list down the factors of 5724
:1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724
Now, list down the factors of 2249
:1,13,173,2249
Greatest Common Factor
We found the factors 5724,2249 . The biggest common factor number is the GCF number.
So the greatest common factor 5724,2249 is 1.
Lets's calculate LCM of 858,715
| 11 | 858, 715 |
| 13 | 78, 65 |
| 6, 5 |
∴ So the LCM of the given numbers is 11 x 13 x 6 x 5 = 4290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4290
Therefore, the GCF of Fractions 5724/858,2249/715 is 1/4290
Least Common Multiple of 858,715 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 858,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,715) = 143
common factors(in case of two or more numbers have common factors) = 1
GCF(858,715) x common factors =143 x 1 = 143
LCM(858,715) = ( 858 × 715 ) / 143
LCM(858,715) = 613470 / 143
LCM(858,715) = 4290
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FAQs on GCF of Fractions of 5724/858, 2249/715
1. What is the HCF of 5724,2249?
The HCF of 5724,2249 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 5724/858, 2249/715?
Answer: GCF of Numerators as per given numbers 5724/858, 2249/715 is
GCF of Numerators i.e. for 5724,2249 is 1
LCM of denominators i.e. for 858,715 is 4290.
Thus, GCF of Fractions is 1/4290.Finally, GCF of Fractions for 5724/858, 2249/715 is 1/4290.