GCF of 8983/514, 6144/9098
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8983/514, 6144/9098 i.e 1/2338186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8983/514, 6144/9098.
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 8983/514,6144/9098?
Given fractions are 8983/514,6144/9098
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 8983/514,6144/9098, numerators are 8983,6144
Denominators are 514,9098
The GCF of 8983,6144 is 1 .
LCM of 514,9098 is 2338186.
The greatest common factor of 8983/514,6144/9098 = [GCF of 8983,6144]/[LCM of 514,9098]= 1/2338186
Therefore, the GCF of 8983/514,6144/9098 is 1/2338186.
To find the highest common factor of 8983,6144, we have to find the factors of both numbers and list the highest common factor.
The factors of 8983 are 1, 13, 691, 8983
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 8983,6144 is 1.
Lets's calculate GCF of 8983,6144
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8983,6144 By Matching Biggest Common Factor Method
Now, list down the factors of 8983
:1,13,691,8983
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 8983,6144 . The biggest common factor number is the GCF number.
So the greatest common factor 8983,6144 is 1.
Lets's calculate LCM of 514,9098
| 2 | 514, 9098 |
| 257, 4549 |
∴ So the LCM of the given numbers is 2 x 257 x 4549 = 2338186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2338186
Therefore, the GCF of Fractions 8983/514,6144/9098 is 1/2338186
Least Common Multiple of 514,9098 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 514,9098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,9098) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,9098) x common factors =2 x 1 = 2
LCM(514,9098) = ( 514 × 9098 ) / 2
LCM(514,9098) = 4676372 / 2
LCM(514,9098) = 2338186
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FAQs on GCF of Fractions of 8983/514, 6144/9098
1. What is the HCF of 8983,6144?
The HCF of 8983,6144 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 8983/514, 6144/9098?
Answer: GCF of Numerators as per given numbers 8983/514, 6144/9098 is
GCF of Numerators i.e. for 8983,6144 is 1
LCM of denominators i.e. for 514,9098 is 2338186.
Thus, GCF of Fractions is 1/2338186.Finally, GCF of Fractions for 8983/514, 6144/9098 is 1/2338186.