GCF of 4002/798, 1345/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4002/798, 1345/741 i.e 1/10374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4002/798, 1345/741.
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 4002/798,1345/741?
Given fractions are 4002/798,1345/741
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 4002/798,1345/741, numerators are 4002,1345
Denominators are 798,741
The GCF of 4002,1345 is 1 .
LCM of 798,741 is 10374.
The greatest common factor of 4002/798,1345/741 = [GCF of 4002,1345]/[LCM of 798,741]= 1/10374
Therefore, the GCF of 4002/798,1345/741 is 1/10374.
To find the highest common factor of 4002,1345, we have to find the factors of both numbers and list the highest common factor.
The factors of 4002 are 1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 4002
The factors of 1345 are 1, 5, 269, 1345
The HCF of 4002,1345 is 1.
Lets's calculate GCF of 4002,1345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4002,1345 By Matching Biggest Common Factor Method
Now, list down the factors of 4002
:1,2,3,6,23,29,46,58,69,87,138,174,667,1334,2001,4002
Now, list down the factors of 1345
:1,5,269,1345
Greatest Common Factor
We found the factors 4002,1345 . The biggest common factor number is the GCF number.
So the greatest common factor 4002,1345 is 1.
Lets's calculate LCM of 798,741
| 3 | 798, 741 |
| 19 | 266, 247 |
| 14, 13 |
∴ So the LCM of the given numbers is 3 x 19 x 14 x 13 = 10374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10374
Therefore, the GCF of Fractions 4002/798,1345/741 is 1/10374
Least Common Multiple of 798,741 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 798,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,741) = 57
common factors(in case of two or more numbers have common factors) = 1
GCF(798,741) x common factors =57 x 1 = 57
LCM(798,741) = ( 798 × 741 ) / 57
LCM(798,741) = 591318 / 57
LCM(798,741) = 10374
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FAQs on GCF of Fractions of 4002/798, 1345/741
1. What is the HCF of 4002,1345?
The HCF of 4002,1345 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 4002/798, 1345/741?
Answer: GCF of Numerators as per given numbers 4002/798, 1345/741 is
GCF of Numerators i.e. for 4002,1345 is 1
LCM of denominators i.e. for 798,741 is 10374.
Thus, GCF of Fractions is 1/10374.Finally, GCF of Fractions for 4002/798, 1345/741 is 1/10374.