GCF of 4504/527, 4518/109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4504/527, 4518/109 i.e 2/57443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4504/527, 4518/109.
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 4504/527,4518/109?
Given fractions are 4504/527,4518/109
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 4504/527,4518/109, numerators are 4504,4518
Denominators are 527,109
The GCF of 4504,4518 is 2 .
LCM of 527,109 is 57443.
The greatest common factor of 4504/527,4518/109 = [GCF of 4504,4518]/[LCM of 527,109]= 2/57443
Therefore, the GCF of 4504/527,4518/109 is 2/57443.
To find the highest common factor of 4504,4518, we have to find the factors of both numbers and list the highest common factor.
The factors of 4504 are 1, 2, 4, 8, 563, 1126, 2252, 4504
The factors of 4518 are 1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518
The HCF of 4504,4518 is 2.
Lets's calculate GCF of 4504,4518
| 2 | 4504, 4518 |
| 2252, 2259 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4504,4518 By Matching Biggest Common Factor Method
Now, list down the factors of 4504
:1,2,4,8,563,1126,2252,4504
Now, list down the factors of 4518
:1,2,3,6,9,18,251,502,753,1506,2259,4518
Greatest Common Factor
We found the factors 4504,4518 . The biggest common factor number is the GCF number.
So the greatest common factor 4504,4518 is 2.
Lets's calculate LCM of 527,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 57443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/57443
Therefore, the GCF of Fractions 4504/527,4518/109 is 2/57443
Least Common Multiple of 527,109 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 527,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,109) x common factors =1 x 1 = 1
LCM(527,109) = ( 527 × 109 ) / 1
LCM(527,109) = 57443 / 1
LCM(527,109) = 57443
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FAQs on GCF of Fractions of 4504/527, 4518/109
1. What is the HCF of 4504,4518?
The HCF of 4504,4518 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 4504/527, 4518/109?
Answer: GCF of Numerators as per given numbers 4504/527, 4518/109 is
GCF of Numerators i.e. for 4504,4518 is 2
LCM of denominators i.e. for 527,109 is 57443.
Thus, GCF of Fractions is 2/57443.Finally, GCF of Fractions for 4504/527, 4518/109 is 2/57443.