GCF of 4673/603, 3482/159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4673/603, 3482/159 i.e 1/31959 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4673/603, 3482/159.
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 4673/603,3482/159?
Given fractions are 4673/603,3482/159
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 4673/603,3482/159, numerators are 4673,3482
Denominators are 603,159
The GCF of 4673,3482 is 1 .
LCM of 603,159 is 31959.
The greatest common factor of 4673/603,3482/159 = [GCF of 4673,3482]/[LCM of 603,159]= 1/31959
Therefore, the GCF of 4673/603,3482/159 is 1/31959.
To find the highest common factor of 4673,3482, we have to find the factors of both numbers and list the highest common factor.
The factors of 4673 are 1, 4673
The factors of 3482 are 1, 2, 1741, 3482
The HCF of 4673,3482 is 1.
Lets's calculate GCF of 4673,3482
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4673,3482 By Matching Biggest Common Factor Method
Now, list down the factors of 4673
:1,4673
Now, list down the factors of 3482
:1,2,1741,3482
Greatest Common Factor
We found the factors 4673,3482 . The biggest common factor number is the GCF number.
So the greatest common factor 4673,3482 is 1.
Lets's calculate LCM of 603,159
| 3 | 603, 159 |
| 201, 53 |
∴ So the LCM of the given numbers is 3 x 201 x 53 = 31959
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31959
Therefore, the GCF of Fractions 4673/603,3482/159 is 1/31959
Least Common Multiple of 603,159 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 603,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,159) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(603,159) x common factors =3 x 1 = 3
LCM(603,159) = ( 603 × 159 ) / 3
LCM(603,159) = 95877 / 3
LCM(603,159) = 31959
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FAQs on GCF of Fractions of 4673/603, 3482/159
1. What is the HCF of 4673,3482?
The HCF of 4673,3482 is 1
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 4673/603, 3482/159?
Answer: GCF of Numerators as per given numbers 4673/603, 3482/159 is
GCF of Numerators i.e. for 4673,3482 is 1
LCM of denominators i.e. for 603,159 is 31959.
Thus, GCF of Fractions is 1/31959.Finally, GCF of Fractions for 4673/603, 3482/159 is 1/31959.