GCF of 4043/167, 5356/286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4043/167, 5356/286 i.e 13/47762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4043/167, 5356/286.
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 4043/167,5356/286?
Given fractions are 4043/167,5356/286
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 4043/167,5356/286, numerators are 4043,5356
Denominators are 167,286
The GCF of 4043,5356 is 13 .
LCM of 167,286 is 47762.
The greatest common factor of 4043/167,5356/286 = [GCF of 4043,5356]/[LCM of 167,286]= 13/47762
Therefore, the GCF of 4043/167,5356/286 is 13/47762.
To find the highest common factor of 4043,5356, we have to find the factors of both numbers and list the highest common factor.
The factors of 4043 are 1, 13, 311, 4043
The factors of 5356 are 1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678, 5356
The HCF of 4043,5356 is 13.
Lets's calculate GCF of 4043,5356
| 13 | 4043, 5356 |
| 311, 412 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4043,5356 By Matching Biggest Common Factor Method
Now, list down the factors of 4043
:1,13,311,4043
Now, list down the factors of 5356
:1,2,4,13,26,52,103,206,412,1339,2678,5356
Greatest Common Factor
We found the factors 4043,5356 . The biggest common factor number is the GCF number.
So the greatest common factor 4043,5356 is 13.
Lets's calculate LCM of 167,286
Given numbers has no common factors except 1. So, there LCM is their product i.e 47762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/47762
Therefore, the GCF of Fractions 4043/167,5356/286 is 13/47762
Least Common Multiple of 167,286 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 167,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,286) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,286) x common factors =1 x 1 = 1
LCM(167,286) = ( 167 × 286 ) / 1
LCM(167,286) = 47762 / 1
LCM(167,286) = 47762
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FAQs on GCF of Fractions of 4043/167, 5356/286
1. What is the HCF of 4043,5356?
The HCF of 4043,5356 is 13
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 4043/167, 5356/286?
Answer: GCF of Numerators as per given numbers 4043/167, 5356/286 is
GCF of Numerators i.e. for 4043,5356 is 13
LCM of denominators i.e. for 167,286 is 47762.
Thus, GCF of Fractions is 13/47762.Finally, GCF of Fractions for 4043/167, 5356/286 is 13/47762.