GCF of 6144/205, 9826/987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6144/205, 9826/987 i.e 2/202335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6144/205, 9826/987.
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 6144/205,9826/987?
Given fractions are 6144/205,9826/987
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 6144/205,9826/987, numerators are 6144,9826
Denominators are 205,987
The GCF of 6144,9826 is 2 .
LCM of 205,987 is 202335.
The greatest common factor of 6144/205,9826/987 = [GCF of 6144,9826]/[LCM of 205,987]= 2/202335
Therefore, the GCF of 6144/205,9826/987 is 2/202335.
To find the highest common factor of 6144,9826, we have to find the factors of both numbers and list the highest common factor.
The factors of 6144 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 6144
The factors of 9826 are 1, 2, 17, 34, 289, 578, 4913, 9826
The HCF of 6144,9826 is 2.
Lets's calculate GCF of 6144,9826
| 2 | 6144, 9826 |
| 3072, 4913 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6144,9826 By Matching Biggest Common Factor Method
Now, list down the factors of 6144
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,2048,3072,6144
Now, list down the factors of 9826
:1,2,17,34,289,578,4913,9826
Greatest Common Factor
We found the factors 6144,9826 . The biggest common factor number is the GCF number.
So the greatest common factor 6144,9826 is 2.
Lets's calculate LCM of 205,987
Given numbers has no common factors except 1. So, there LCM is their product i.e 202335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/202335
Therefore, the GCF of Fractions 6144/205,9826/987 is 2/202335
Least Common Multiple of 205,987 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 205,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,987) x common factors =1 x 1 = 1
LCM(205,987) = ( 205 × 987 ) / 1
LCM(205,987) = 202335 / 1
LCM(205,987) = 202335
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FAQs on GCF of Fractions of 6144/205, 9826/987
1. What is the HCF of 6144,9826?
The HCF of 6144,9826 is 2
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 6144/205, 9826/987?
Answer: GCF of Numerators as per given numbers 6144/205, 9826/987 is
GCF of Numerators i.e. for 6144,9826 is 2
LCM of denominators i.e. for 205,987 is 202335.
Thus, GCF of Fractions is 2/202335.Finally, GCF of Fractions for 6144/205, 9826/987 is 2/202335.