GCF of 4145/284, 8990/159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4145/284, 8990/159 i.e 5/45156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4145/284, 8990/159.
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 4145/284,8990/159?
Given fractions are 4145/284,8990/159
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 4145/284,8990/159, numerators are 4145,8990
Denominators are 284,159
The GCF of 4145,8990 is 5 .
LCM of 284,159 is 45156.
The greatest common factor of 4145/284,8990/159 = [GCF of 4145,8990]/[LCM of 284,159]= 5/45156
Therefore, the GCF of 4145/284,8990/159 is 5/45156.
To find the highest common factor of 4145,8990, we have to find the factors of both numbers and list the highest common factor.
The factors of 4145 are 1, 5, 829, 4145
The factors of 8990 are 1, 2, 5, 10, 29, 31, 58, 62, 145, 155, 290, 310, 899, 1798, 4495, 8990
The HCF of 4145,8990 is 5.
Lets's calculate GCF of 4145,8990
| 5 | 4145, 8990 |
| 829, 1798 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4145,8990 By Matching Biggest Common Factor Method
Now, list down the factors of 4145
:1,5,829,4145
Now, list down the factors of 8990
:1,2,5,10,29,31,58,62,145,155,290,310,899,1798,4495,8990
Greatest Common Factor
We found the factors 4145,8990 . The biggest common factor number is the GCF number.
So the greatest common factor 4145,8990 is 5.
Lets's calculate LCM of 284,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 45156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/45156
Therefore, the GCF of Fractions 4145/284,8990/159 is 5/45156
Least Common Multiple of 284,159 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 284,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,159) x common factors =1 x 1 = 1
LCM(284,159) = ( 284 × 159 ) / 1
LCM(284,159) = 45156 / 1
LCM(284,159) = 45156
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FAQs on GCF of Fractions of 4145/284, 8990/159
1. What is the HCF of 4145,8990?
The HCF of 4145,8990 is 5
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 4145/284, 8990/159?
Answer: GCF of Numerators as per given numbers 4145/284, 8990/159 is
GCF of Numerators i.e. for 4145,8990 is 5
LCM of denominators i.e. for 284,159 is 45156.
Thus, GCF of Fractions is 5/45156.Finally, GCF of Fractions for 4145/284, 8990/159 is 5/45156.