GCF of 507/721, 2002/394
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 507/721, 2002/394 i.e 13/284074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 507/721, 2002/394.
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 507/721,2002/394?
Given fractions are 507/721,2002/394
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 507/721,2002/394, numerators are 507,2002
Denominators are 721,394
The GCF of 507,2002 is 13 .
LCM of 721,394 is 284074.
The greatest common factor of 507/721,2002/394 = [GCF of 507,2002]/[LCM of 721,394]= 13/284074
Therefore, the GCF of 507/721,2002/394 is 13/284074.
To find the highest common factor of 507,2002, we have to find the factors of both numbers and list the highest common factor.
The factors of 507 are 1, 3, 13, 39, 169, 507
The factors of 2002 are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002
The HCF of 507,2002 is 13.
Lets's calculate GCF of 507,2002
| 13 | 507, 2002 |
| 39, 154 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 507,2002 By Matching Biggest Common Factor Method
Now, list down the factors of 507
:1,3,13,39,169,507
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 507,2002 . The biggest common factor number is the GCF number.
So the greatest common factor 507,2002 is 13.
Lets's calculate LCM of 721,394
Given numbers has no common factors except 1. So, there LCM is their product i.e 284074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/284074
Therefore, the GCF of Fractions 507/721,2002/394 is 13/284074
Least Common Multiple of 721,394 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 721,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,394) x common factors =1 x 1 = 1
LCM(721,394) = ( 721 × 394 ) / 1
LCM(721,394) = 284074 / 1
LCM(721,394) = 284074
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FAQs on GCF of Fractions of 507/721, 2002/394
1. What is the HCF of 507,2002?
The HCF of 507,2002 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 507/721, 2002/394?
Answer: GCF of Numerators as per given numbers 507/721, 2002/394 is
GCF of Numerators i.e. for 507,2002 is 13
LCM of denominators i.e. for 721,394 is 284074.
Thus, GCF of Fractions is 13/284074.Finally, GCF of Fractions for 507/721, 2002/394 is 13/284074.