GCF of 9587/651, 2930/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9587/651, 2930/309 i.e 1/67053 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9587/651, 2930/309.
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 9587/651,2930/309?
Given fractions are 9587/651,2930/309
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 9587/651,2930/309, numerators are 9587,2930
Denominators are 651,309
The GCF of 9587,2930 is 1 .
LCM of 651,309 is 67053.
The greatest common factor of 9587/651,2930/309 = [GCF of 9587,2930]/[LCM of 651,309]= 1/67053
Therefore, the GCF of 9587/651,2930/309 is 1/67053.
To find the highest common factor of 9587,2930, we have to find the factors of both numbers and list the highest common factor.
The factors of 9587 are 1, 9587
The factors of 2930 are 1, 2, 5, 10, 293, 586, 1465, 2930
The HCF of 9587,2930 is 1.
Lets's calculate GCF of 9587,2930
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9587,2930 By Matching Biggest Common Factor Method
Now, list down the factors of 9587
:1,9587
Now, list down the factors of 2930
:1,2,5,10,293,586,1465,2930
Greatest Common Factor
We found the factors 9587,2930 . The biggest common factor number is the GCF number.
So the greatest common factor 9587,2930 is 1.
Lets's calculate LCM of 651,309
| 3 | 651, 309 |
| 217, 103 |
∴ So the LCM of the given numbers is 3 x 217 x 103 = 67053
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67053
Therefore, the GCF of Fractions 9587/651,2930/309 is 1/67053
Least Common Multiple of 651,309 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 651,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,309) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(651,309) x common factors =3 x 1 = 3
LCM(651,309) = ( 651 × 309 ) / 3
LCM(651,309) = 201159 / 3
LCM(651,309) = 67053
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FAQs on GCF of Fractions of 9587/651, 2930/309
1. What is the HCF of 9587,2930?
The HCF of 9587,2930 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 9587/651, 2930/309?
Answer: GCF of Numerators as per given numbers 9587/651, 2930/309 is
GCF of Numerators i.e. for 9587,2930 is 1
LCM of denominators i.e. for 651,309 is 67053.
Thus, GCF of Fractions is 1/67053.Finally, GCF of Fractions for 9587/651, 2930/309 is 1/67053.