GCF of 8531/600, 5984/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8531/600, 5984/678 i.e 1/67800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8531/600, 5984/678.
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 8531/600,5984/678?
Given fractions are 8531/600,5984/678
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 8531/600,5984/678, numerators are 8531,5984
Denominators are 600,678
The GCF of 8531,5984 is 1 .
LCM of 600,678 is 67800.
The greatest common factor of 8531/600,5984/678 = [GCF of 8531,5984]/[LCM of 600,678]= 1/67800
Therefore, the GCF of 8531/600,5984/678 is 1/67800.
To find the highest common factor of 8531,5984, we have to find the factors of both numbers and list the highest common factor.
The factors of 8531 are 1, 19, 449, 8531
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 8531,5984 is 1.
Lets's calculate GCF of 8531,5984
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8531,5984 By Matching Biggest Common Factor Method
Now, list down the factors of 8531
:1,19,449,8531
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 8531,5984 . The biggest common factor number is the GCF number.
So the greatest common factor 8531,5984 is 1.
Lets's calculate LCM of 600,678
| 2 | 600, 678 |
| 3 | 300, 339 |
| 100, 113 |
∴ So the LCM of the given numbers is 2 x 3 x 100 x 113 = 67800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67800
Therefore, the GCF of Fractions 8531/600,5984/678 is 1/67800
Least Common Multiple of 600,678 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 600,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,678) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(600,678) x common factors =6 x 1 = 6
LCM(600,678) = ( 600 × 678 ) / 6
LCM(600,678) = 406800 / 6
LCM(600,678) = 67800
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FAQs on GCF of Fractions of 8531/600, 5984/678
1. What is the HCF of 8531,5984?
The HCF of 8531,5984 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 8531/600, 5984/678?
Answer: GCF of Numerators as per given numbers 8531/600, 5984/678 is
GCF of Numerators i.e. for 8531,5984 is 1
LCM of denominators i.e. for 600,678 is 67800.
Thus, GCF of Fractions is 1/67800.Finally, GCF of Fractions for 8531/600, 5984/678 is 1/67800.