GCF of 3242/415, 2002/562
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3242/415, 2002/562 i.e 2/233230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3242/415, 2002/562.
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 3242/415,2002/562?
Given fractions are 3242/415,2002/562
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 3242/415,2002/562, numerators are 3242,2002
Denominators are 415,562
The GCF of 3242,2002 is 2 .
LCM of 415,562 is 233230.
The greatest common factor of 3242/415,2002/562 = [GCF of 3242,2002]/[LCM of 415,562]= 2/233230
Therefore, the GCF of 3242/415,2002/562 is 2/233230.
To find the highest common factor of 3242,2002, we have to find the factors of both numbers and list the highest common factor.
The factors of 3242 are 1, 2, 1621, 3242
The factors of 2002 are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002
The HCF of 3242,2002 is 2.
Lets's calculate GCF of 3242,2002
| 2 | 3242, 2002 |
| 1621, 1001 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3242,2002 By Matching Biggest Common Factor Method
Now, list down the factors of 3242
:1,2,1621,3242
Now, list down the factors of 2002
:1,2,7,11,13,14,22,26,77,91,143,154,182,286,1001,2002
Greatest Common Factor
We found the factors 3242,2002 . The biggest common factor number is the GCF number.
So the greatest common factor 3242,2002 is 2.
Lets's calculate LCM of 415,562
Given numbers has no common factors except 1. So, there LCM is their product i.e 233230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/233230
Therefore, the GCF of Fractions 3242/415,2002/562 is 2/233230
Least Common Multiple of 415,562 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 415,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,562) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,562) x common factors =1 x 1 = 1
LCM(415,562) = ( 415 × 562 ) / 1
LCM(415,562) = 233230 / 1
LCM(415,562) = 233230
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FAQs on GCF of Fractions of 3242/415, 2002/562
1. What is the HCF of 3242,2002?
The HCF of 3242,2002 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 3242/415, 2002/562?
Answer: GCF of Numerators as per given numbers 3242/415, 2002/562 is
GCF of Numerators i.e. for 3242,2002 is 2
LCM of denominators i.e. for 415,562 is 233230.
Thus, GCF of Fractions is 2/233230.Finally, GCF of Fractions for 3242/415, 2002/562 is 2/233230.