GCF of 4863/547, 4437/7628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4863/547, 4437/7628 i.e 3/4172516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4863/547, 4437/7628.
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 4863/547,4437/7628?
Given fractions are 4863/547,4437/7628
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 4863/547,4437/7628, numerators are 4863,4437
Denominators are 547,7628
The GCF of 4863,4437 is 3 .
LCM of 547,7628 is 4172516.
The greatest common factor of 4863/547,4437/7628 = [GCF of 4863,4437]/[LCM of 547,7628]= 3/4172516
Therefore, the GCF of 4863/547,4437/7628 is 3/4172516.
To find the highest common factor of 4863,4437, we have to find the factors of both numbers and list the highest common factor.
The factors of 4863 are 1, 3, 1621, 4863
The factors of 4437 are 1, 3, 9, 17, 29, 51, 87, 153, 261, 493, 1479, 4437
The HCF of 4863,4437 is 3.
Lets's calculate GCF of 4863,4437
| 3 | 4863, 4437 |
| 1621, 1479 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4863,4437 By Matching Biggest Common Factor Method
Now, list down the factors of 4863
:1,3,1621,4863
Now, list down the factors of 4437
:1,3,9,17,29,51,87,153,261,493,1479,4437
Greatest Common Factor
We found the factors 4863,4437 . The biggest common factor number is the GCF number.
So the greatest common factor 4863,4437 is 3.
Lets's calculate LCM of 547,7628
Given numbers has no common factors except 1. So, there LCM is their product i.e 4172516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4172516
Therefore, the GCF of Fractions 4863/547,4437/7628 is 3/4172516
Least Common Multiple of 547,7628 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 547,7628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,7628) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,7628) x common factors =1 x 1 = 1
LCM(547,7628) = ( 547 × 7628 ) / 1
LCM(547,7628) = 4172516 / 1
LCM(547,7628) = 4172516
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FAQs on GCF of Fractions of 4863/547, 4437/7628
1. What is the HCF of 4863,4437?
The HCF of 4863,4437 is 3
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 4863/547, 4437/7628?
Answer: GCF of Numerators as per given numbers 4863/547, 4437/7628 is
GCF of Numerators i.e. for 4863,4437 is 3
LCM of denominators i.e. for 547,7628 is 4172516.
Thus, GCF of Fractions is 3/4172516.Finally, GCF of Fractions for 4863/547, 4437/7628 is 3/4172516.