GCF of 5742/695, 1005/404
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5742/695, 1005/404 i.e 3/280780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5742/695, 1005/404.
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 5742/695,1005/404?
Given fractions are 5742/695,1005/404
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 5742/695,1005/404, numerators are 5742,1005
Denominators are 695,404
The GCF of 5742,1005 is 3 .
LCM of 695,404 is 280780.
The greatest common factor of 5742/695,1005/404 = [GCF of 5742,1005]/[LCM of 695,404]= 3/280780
Therefore, the GCF of 5742/695,1005/404 is 3/280780.
To find the highest common factor of 5742,1005, we have to find the factors of both numbers and list the highest common factor.
The factors of 5742 are 1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 174, 198, 261, 319, 522, 638, 957, 1914, 2871, 5742
The factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005
The HCF of 5742,1005 is 3.
Lets's calculate GCF of 5742,1005
| 3 | 5742, 1005 |
| 1914, 335 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5742,1005 By Matching Biggest Common Factor Method
Now, list down the factors of 5742
:1,2,3,6,9,11,18,22,29,33,58,66,87,99,174,198,261,319,522,638,957,1914,2871,5742
Now, list down the factors of 1005
:1,3,5,15,67,201,335,1005
Greatest Common Factor
We found the factors 5742,1005 . The biggest common factor number is the GCF number.
So the greatest common factor 5742,1005 is 3.
Lets's calculate LCM of 695,404
Given numbers has no common factors except 1. So, there LCM is their product i.e 280780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/280780
Therefore, the GCF of Fractions 5742/695,1005/404 is 3/280780
Least Common Multiple of 695,404 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 695,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,404) x common factors =1 x 1 = 1
LCM(695,404) = ( 695 × 404 ) / 1
LCM(695,404) = 280780 / 1
LCM(695,404) = 280780
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FAQs on GCF of Fractions of 5742/695, 1005/404
1. What is the HCF of 5742,1005?
The HCF of 5742,1005 is 3
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 5742/695, 1005/404?
Answer: GCF of Numerators as per given numbers 5742/695, 1005/404 is
GCF of Numerators i.e. for 5742,1005 is 3
LCM of denominators i.e. for 695,404 is 280780.
Thus, GCF of Fractions is 3/280780.Finally, GCF of Fractions for 5742/695, 1005/404 is 3/280780.