GCF of 5725/538, 5984/8682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5725/538, 5984/8682 i.e 1/2335458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5725/538, 5984/8682.
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 5725/538,5984/8682?
Given fractions are 5725/538,5984/8682
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 5725/538,5984/8682, numerators are 5725,5984
Denominators are 538,8682
The GCF of 5725,5984 is 1 .
LCM of 538,8682 is 2335458.
The greatest common factor of 5725/538,5984/8682 = [GCF of 5725,5984]/[LCM of 538,8682]= 1/2335458
Therefore, the GCF of 5725/538,5984/8682 is 1/2335458.
To find the highest common factor of 5725,5984, we have to find the factors of both numbers and list the highest common factor.
The factors of 5725 are 1, 5, 25, 229, 1145, 5725
The factors of 5984 are 1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984
The HCF of 5725,5984 is 1.
Lets's calculate GCF of 5725,5984
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5725,5984 By Matching Biggest Common Factor Method
Now, list down the factors of 5725
:1,5,25,229,1145,5725
Now, list down the factors of 5984
:1,2,4,8,11,16,17,22,32,34,44,68,88,136,176,187,272,352,374,544,748,1496,2992,5984
Greatest Common Factor
We found the factors 5725,5984 . The biggest common factor number is the GCF number.
So the greatest common factor 5725,5984 is 1.
Lets's calculate LCM of 538,8682
| 2 | 538, 8682 |
| 269, 4341 |
∴ So the LCM of the given numbers is 2 x 269 x 4341 = 2335458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2335458
Therefore, the GCF of Fractions 5725/538,5984/8682 is 1/2335458
Least Common Multiple of 538,8682 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 538,8682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,8682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,8682) x common factors =2 x 1 = 2
LCM(538,8682) = ( 538 × 8682 ) / 2
LCM(538,8682) = 4670916 / 2
LCM(538,8682) = 2335458
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FAQs on GCF of Fractions of 5725/538, 5984/8682
1. What is the HCF of 5725,5984?
The HCF of 5725,5984 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 5725/538, 5984/8682?
Answer: GCF of Numerators as per given numbers 5725/538, 5984/8682 is
GCF of Numerators i.e. for 5725,5984 is 1
LCM of denominators i.e. for 538,8682 is 2335458.
Thus, GCF of Fractions is 1/2335458.Finally, GCF of Fractions for 5725/538, 5984/8682 is 1/2335458.