GCF of 8567/300, 6192/1824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8567/300, 6192/1824 i.e 1/45600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8567/300, 6192/1824.
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 8567/300,6192/1824?
Given fractions are 8567/300,6192/1824
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 8567/300,6192/1824, numerators are 8567,6192
Denominators are 300,1824
The GCF of 8567,6192 is 1 .
LCM of 300,1824 is 45600.
The greatest common factor of 8567/300,6192/1824 = [GCF of 8567,6192]/[LCM of 300,1824]= 1/45600
Therefore, the GCF of 8567/300,6192/1824 is 1/45600.
To find the highest common factor of 8567,6192, we have to find the factors of both numbers and list the highest common factor.
The factors of 8567 are 1, 13, 659, 8567
The factors of 6192 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 43, 48, 72, 86, 129, 144, 172, 258, 344, 387, 516, 688, 774, 1032, 1548, 2064, 3096, 6192
The HCF of 8567,6192 is 1.
Lets's calculate GCF of 8567,6192
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8567,6192 By Matching Biggest Common Factor Method
Now, list down the factors of 8567
:1,13,659,8567
Now, list down the factors of 6192
:1,2,3,4,6,8,9,12,16,18,24,36,43,48,72,86,129,144,172,258,344,387,516,688,774,1032,1548,2064,3096,6192
Greatest Common Factor
We found the factors 8567,6192 . The biggest common factor number is the GCF number.
So the greatest common factor 8567,6192 is 1.
Lets's calculate LCM of 300,1824
| 2 | 300, 1824 |
| 2 | 150, 912 |
| 3 | 75, 456 |
| 25, 152 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 25 x 152 = 45600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45600
Therefore, the GCF of Fractions 8567/300,6192/1824 is 1/45600
Least Common Multiple of 300,1824 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 300,1824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,1824) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(300,1824) x common factors =12 x 1 = 12
LCM(300,1824) = ( 300 × 1824 ) / 12
LCM(300,1824) = 547200 / 12
LCM(300,1824) = 45600
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FAQs on GCF of Fractions of 8567/300, 6192/1824
1. What is the HCF of 8567,6192?
The HCF of 8567,6192 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 8567/300, 6192/1824?
Answer: GCF of Numerators as per given numbers 8567/300, 6192/1824 is
GCF of Numerators i.e. for 8567,6192 is 1
LCM of denominators i.e. for 300,1824 is 45600.
Thus, GCF of Fractions is 1/45600.Finally, GCF of Fractions for 8567/300, 6192/1824 is 1/45600.