GCF of 5987/864, 7123/7824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5987/864, 7123/7824 i.e 1/140832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5987/864, 7123/7824.
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 5987/864,7123/7824?
Given fractions are 5987/864,7123/7824
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 5987/864,7123/7824, numerators are 5987,7123
Denominators are 864,7824
The GCF of 5987,7123 is 1 .
LCM of 864,7824 is 140832.
The greatest common factor of 5987/864,7123/7824 = [GCF of 5987,7123]/[LCM of 864,7824]= 1/140832
Therefore, the GCF of 5987/864,7123/7824 is 1/140832.
To find the highest common factor of 5987,7123, we have to find the factors of both numbers and list the highest common factor.
The factors of 5987 are 1, 5987
The factors of 7123 are 1, 17, 419, 7123
The HCF of 5987,7123 is 1.
Lets's calculate GCF of 5987,7123
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5987,7123 By Matching Biggest Common Factor Method
Now, list down the factors of 5987
:1,5987
Now, list down the factors of 7123
:1,17,419,7123
Greatest Common Factor
We found the factors 5987,7123 . The biggest common factor number is the GCF number.
So the greatest common factor 5987,7123 is 1.
Lets's calculate LCM of 864,7824
| 2 | 864, 7824 |
| 2 | 432, 3912 |
| 2 | 216, 1956 |
| 2 | 108, 978 |
| 3 | 54, 489 |
| 18, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 18 x 163 = 140832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140832
Therefore, the GCF of Fractions 5987/864,7123/7824 is 1/140832
Least Common Multiple of 864,7824 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 864,7824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,7824) = 48
common factors(in case of two or more numbers have common factors) = 1
GCF(864,7824) x common factors =48 x 1 = 48
LCM(864,7824) = ( 864 × 7824 ) / 48
LCM(864,7824) = 6759936 / 48
LCM(864,7824) = 140832
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FAQs on GCF of Fractions of 5987/864, 7123/7824
1. What is the HCF of 5987,7123?
The HCF of 5987,7123 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 5987/864, 7123/7824?
Answer: GCF of Numerators as per given numbers 5987/864, 7123/7824 is
GCF of Numerators i.e. for 5987,7123 is 1
LCM of denominators i.e. for 864,7824 is 140832.
Thus, GCF of Fractions is 1/140832.Finally, GCF of Fractions for 5987/864, 7123/7824 is 1/140832.