GCF of 1502/591, 1909/9885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1502/591, 1909/9885 i.e 1/1947345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1502/591, 1909/9885.
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 1502/591,1909/9885?
Given fractions are 1502/591,1909/9885
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 1502/591,1909/9885, numerators are 1502,1909
Denominators are 591,9885
The GCF of 1502,1909 is 1 .
LCM of 591,9885 is 1947345.
The greatest common factor of 1502/591,1909/9885 = [GCF of 1502,1909]/[LCM of 591,9885]= 1/1947345
Therefore, the GCF of 1502/591,1909/9885 is 1/1947345.
To find the highest common factor of 1502,1909, we have to find the factors of both numbers and list the highest common factor.
The factors of 1502 are 1, 2, 751, 1502
The factors of 1909 are 1, 23, 83, 1909
The HCF of 1502,1909 is 1.
Lets's calculate GCF of 1502,1909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1502,1909 By Matching Biggest Common Factor Method
Now, list down the factors of 1502
:1,2,751,1502
Now, list down the factors of 1909
:1,23,83,1909
Greatest Common Factor
We found the factors 1502,1909 . The biggest common factor number is the GCF number.
So the greatest common factor 1502,1909 is 1.
Lets's calculate LCM of 591,9885
| 3 | 591, 9885 |
| 197, 3295 |
∴ So the LCM of the given numbers is 3 x 197 x 3295 = 1947345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1947345
Therefore, the GCF of Fractions 1502/591,1909/9885 is 1/1947345
Least Common Multiple of 591,9885 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 591,9885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,9885) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(591,9885) x common factors =3 x 1 = 3
LCM(591,9885) = ( 591 × 9885 ) / 3
LCM(591,9885) = 5842035 / 3
LCM(591,9885) = 1947345
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FAQs on GCF of Fractions of 1502/591, 1909/9885
1. What is the HCF of 1502,1909?
The HCF of 1502,1909 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 1502/591, 1909/9885?
Answer: GCF of Numerators as per given numbers 1502/591, 1909/9885 is
GCF of Numerators i.e. for 1502,1909 is 1
LCM of denominators i.e. for 591,9885 is 1947345.
Thus, GCF of Fractions is 1/1947345.Finally, GCF of Fractions for 1502/591, 1909/9885 is 1/1947345.