GCF of 8912/541, 2738/483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8912/541, 2738/483 i.e 2/261303 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8912/541, 2738/483.
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 8912/541,2738/483?
Given fractions are 8912/541,2738/483
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 8912/541,2738/483, numerators are 8912,2738
Denominators are 541,483
The GCF of 8912,2738 is 2 .
LCM of 541,483 is 261303.
The greatest common factor of 8912/541,2738/483 = [GCF of 8912,2738]/[LCM of 541,483]= 2/261303
Therefore, the GCF of 8912/541,2738/483 is 2/261303.
To find the highest common factor of 8912,2738, we have to find the factors of both numbers and list the highest common factor.
The factors of 8912 are 1, 2, 4, 8, 16, 557, 1114, 2228, 4456, 8912
The factors of 2738 are 1, 2, 37, 74, 1369, 2738
The HCF of 8912,2738 is 2.
Lets's calculate GCF of 8912,2738
| 2 | 8912, 2738 |
| 4456, 1369 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8912,2738 By Matching Biggest Common Factor Method
Now, list down the factors of 8912
:1,2,4,8,16,557,1114,2228,4456,8912
Now, list down the factors of 2738
:1,2,37,74,1369,2738
Greatest Common Factor
We found the factors 8912,2738 . The biggest common factor number is the GCF number.
So the greatest common factor 8912,2738 is 2.
Lets's calculate LCM of 541,483
Given numbers has no common factors except 1. So, there LCM is their product i.e 261303
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/261303
Therefore, the GCF of Fractions 8912/541,2738/483 is 2/261303
Least Common Multiple of 541,483 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 541,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,483) x common factors =1 x 1 = 1
LCM(541,483) = ( 541 × 483 ) / 1
LCM(541,483) = 261303 / 1
LCM(541,483) = 261303
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FAQs on GCF of Fractions of 8912/541, 2738/483
1. What is the HCF of 8912,2738?
The HCF of 8912,2738 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 8912/541, 2738/483?
Answer: GCF of Numerators as per given numbers 8912/541, 2738/483 is
GCF of Numerators i.e. for 8912,2738 is 2
LCM of denominators i.e. for 541,483 is 261303.
Thus, GCF of Fractions is 2/261303.Finally, GCF of Fractions for 8912/541, 2738/483 is 2/261303.