GCF of 6558/838, 1128/4872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6558/838, 1128/4872 i.e 6/2041368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6558/838, 1128/4872.
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 6558/838,1128/4872?
Given fractions are 6558/838,1128/4872
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 6558/838,1128/4872, numerators are 6558,1128
Denominators are 838,4872
The GCF of 6558,1128 is 6 .
LCM of 838,4872 is 2041368.
The greatest common factor of 6558/838,1128/4872 = [GCF of 6558,1128]/[LCM of 838,4872]= 6/2041368
Therefore, the GCF of 6558/838,1128/4872 is 6/2041368.
To find the highest common factor of 6558,1128, we have to find the factors of both numbers and list the highest common factor.
The factors of 6558 are 1, 2, 3, 6, 1093, 2186, 3279, 6558
The factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128
The HCF of 6558,1128 is 6.
Lets's calculate GCF of 6558,1128
| 2 | 6558, 1128 |
| 3 | 3279, 564 |
| 1093, 188 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6558,1128 By Matching Biggest Common Factor Method
Now, list down the factors of 6558
:1,2,3,6,1093,2186,3279,6558
Now, list down the factors of 1128
:1,2,3,4,6,8,12,24,47,94,141,188,282,376,564,1128
Greatest Common Factor
We found the factors 6558,1128 . The biggest common factor number is the GCF number.
So the greatest common factor 6558,1128 is 6.
Lets's calculate LCM of 838,4872
| 2 | 838, 4872 |
| 419, 2436 |
∴ So the LCM of the given numbers is 2 x 419 x 2436 = 2041368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2041368
Therefore, the GCF of Fractions 6558/838,1128/4872 is 6/2041368
Least Common Multiple of 838,4872 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 838,4872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,4872) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,4872) x common factors =2 x 1 = 2
LCM(838,4872) = ( 838 × 4872 ) / 2
LCM(838,4872) = 4082736 / 2
LCM(838,4872) = 2041368
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FAQs on GCF of Fractions of 6558/838, 1128/4872
1. What is the HCF of 6558,1128?
The HCF of 6558,1128 is 6
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 6558/838, 1128/4872?
Answer: GCF of Numerators as per given numbers 6558/838, 1128/4872 is
GCF of Numerators i.e. for 6558,1128 is 6
LCM of denominators i.e. for 838,4872 is 2041368.
Thus, GCF of Fractions is 6/2041368.Finally, GCF of Fractions for 6558/838, 1128/4872 is 6/2041368.