GCF of 4009/665, 1257/6340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4009/665, 1257/6340 i.e 1/843220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4009/665, 1257/6340.
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 4009/665,1257/6340?
Given fractions are 4009/665,1257/6340
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 4009/665,1257/6340, numerators are 4009,1257
Denominators are 665,6340
The GCF of 4009,1257 is 1 .
LCM of 665,6340 is 843220.
The greatest common factor of 4009/665,1257/6340 = [GCF of 4009,1257]/[LCM of 665,6340]= 1/843220
Therefore, the GCF of 4009/665,1257/6340 is 1/843220.
To find the highest common factor of 4009,1257, we have to find the factors of both numbers and list the highest common factor.
The factors of 4009 are 1, 19, 211, 4009
The factors of 1257 are 1, 3, 419, 1257
The HCF of 4009,1257 is 1.
Lets's calculate GCF of 4009,1257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4009,1257 By Matching Biggest Common Factor Method
Now, list down the factors of 4009
:1,19,211,4009
Now, list down the factors of 1257
:1,3,419,1257
Greatest Common Factor
We found the factors 4009,1257 . The biggest common factor number is the GCF number.
So the greatest common factor 4009,1257 is 1.
Lets's calculate LCM of 665,6340
| 5 | 665, 6340 |
| 133, 1268 |
∴ So the LCM of the given numbers is 5 x 133 x 1268 = 843220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/843220
Therefore, the GCF of Fractions 4009/665,1257/6340 is 1/843220
Least Common Multiple of 665,6340 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 665,6340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,6340) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(665,6340) x common factors =5 x 1 = 5
LCM(665,6340) = ( 665 × 6340 ) / 5
LCM(665,6340) = 4216100 / 5
LCM(665,6340) = 843220
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FAQs on GCF of Fractions of 4009/665, 1257/6340
1. What is the HCF of 4009,1257?
The HCF of 4009,1257 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 4009/665, 1257/6340?
Answer: GCF of Numerators as per given numbers 4009/665, 1257/6340 is
GCF of Numerators i.e. for 4009,1257 is 1
LCM of denominators i.e. for 665,6340 is 843220.
Thus, GCF of Fractions is 1/843220.Finally, GCF of Fractions for 4009/665, 1257/6340 is 1/843220.