GCF of 2059/541, 4544/4968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2059/541, 4544/4968 i.e 71/2687688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2059/541, 4544/4968.
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 2059/541,4544/4968?
Given fractions are 2059/541,4544/4968
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 2059/541,4544/4968, numerators are 2059,4544
Denominators are 541,4968
The GCF of 2059,4544 is 71 .
LCM of 541,4968 is 2687688.
The greatest common factor of 2059/541,4544/4968 = [GCF of 2059,4544]/[LCM of 541,4968]= 71/2687688
Therefore, the GCF of 2059/541,4544/4968 is 71/2687688.
To find the highest common factor of 2059,4544, we have to find the factors of both numbers and list the highest common factor.
The factors of 2059 are 1, 29, 71, 2059
The factors of 4544 are 1, 2, 4, 8, 16, 32, 64, 71, 142, 284, 568, 1136, 2272, 4544
The HCF of 2059,4544 is 71.
Lets's calculate GCF of 2059,4544
| 71 | 2059, 4544 |
| 29, 64 |
∴ So the GCF of the given numbers is 71 = 71
Greatest Common Factor of 2059,4544 By Matching Biggest Common Factor Method
Now, list down the factors of 2059
:1,29,71,2059
Now, list down the factors of 4544
:1,2,4,8,16,32,64,71,142,284,568,1136,2272,4544
Greatest Common Factor
We found the factors 2059,4544 . The biggest common factor number is the GCF number.
So the greatest common factor 2059,4544 is 71.
Lets's calculate LCM of 541,4968
Given numbers has no common factors except 1. So, there LCM is their product i.e 2687688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 71/2687688
Therefore, the GCF of Fractions 2059/541,4544/4968 is 71/2687688
Least Common Multiple of 541,4968 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 541,4968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,4968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,4968) x common factors =1 x 1 = 1
LCM(541,4968) = ( 541 × 4968 ) / 1
LCM(541,4968) = 2687688 / 1
LCM(541,4968) = 2687688
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FAQs on GCF of Fractions of 2059/541, 4544/4968
1. What is the HCF of 2059,4544?
The HCF of 2059,4544 is 71
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 2059/541, 4544/4968?
Answer: GCF of Numerators as per given numbers 2059/541, 4544/4968 is
GCF of Numerators i.e. for 2059,4544 is 71
LCM of denominators i.e. for 541,4968 is 2687688.
Thus, GCF of Fractions is 71/2687688.Finally, GCF of Fractions for 2059/541, 4544/4968 is 71/2687688.