GCF of 4932/260, 6144/2943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4932/260, 6144/2943 i.e 12/765180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4932/260, 6144/2943.
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 4932/260,6144/2943?
Given fractions are 4932/260,6144/2943
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 4932/260,6144/2943, numerators are 4932,6144
Denominators are 260,2943
The GCF of 4932,6144 is 12 .
LCM of 260,2943 is 765180.
The greatest common factor of 4932/260,6144/2943 = [GCF of 4932,6144]/[LCM of 260,2943]= 12/765180
Therefore, the GCF of 4932/260,6144/2943 is 12/765180.
To find the highest common factor of 4932,6144, we have to find the factors of both numbers and list the highest common factor.
The factors of 4932 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932
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 HCF of 4932,6144 is 12.
Lets's calculate GCF of 4932,6144
| 2 | 4932, 6144 |
| 2 | 2466, 3072 |
| 3 | 1233, 1536 |
| 411, 512 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4932,6144 By Matching Biggest Common Factor Method
Now, list down the factors of 4932
:1,2,3,4,6,9,12,18,36,137,274,411,548,822,1233,1644,2466,4932
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
Greatest Common Factor
We found the factors 4932,6144 . The biggest common factor number is the GCF number.
So the greatest common factor 4932,6144 is 12.
Lets's calculate LCM of 260,2943
Given numbers has no common factors except 1. So, there LCM is their product i.e 765180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/765180
Therefore, the GCF of Fractions 4932/260,6144/2943 is 12/765180
Least Common Multiple of 260,2943 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 260,2943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,2943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(260,2943) x common factors =1 x 1 = 1
LCM(260,2943) = ( 260 × 2943 ) / 1
LCM(260,2943) = 765180 / 1
LCM(260,2943) = 765180
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FAQs on GCF of Fractions of 4932/260, 6144/2943
1. What is the HCF of 4932,6144?
The HCF of 4932,6144 is 12
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 4932/260, 6144/2943?
Answer: GCF of Numerators as per given numbers 4932/260, 6144/2943 is
GCF of Numerators i.e. for 4932,6144 is 12
LCM of denominators i.e. for 260,2943 is 765180.
Thus, GCF of Fractions is 12/765180.Finally, GCF of Fractions for 4932/260, 6144/2943 is 12/765180.