GCF of 7037/309, 9645/180
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7037/309, 9645/180 i.e 1/18540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7037/309, 9645/180.
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 7037/309,9645/180?
Given fractions are 7037/309,9645/180
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 7037/309,9645/180, numerators are 7037,9645
Denominators are 309,180
The GCF of 7037,9645 is 1 .
LCM of 309,180 is 18540.
The greatest common factor of 7037/309,9645/180 = [GCF of 7037,9645]/[LCM of 309,180]= 1/18540
Therefore, the GCF of 7037/309,9645/180 is 1/18540.
To find the highest common factor of 7037,9645, we have to find the factors of both numbers and list the highest common factor.
The factors of 7037 are 1, 31, 227, 7037
The factors of 9645 are 1, 3, 5, 15, 643, 1929, 3215, 9645
The HCF of 7037,9645 is 1.
Lets's calculate GCF of 7037,9645
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7037,9645 By Matching Biggest Common Factor Method
Now, list down the factors of 7037
:1,31,227,7037
Now, list down the factors of 9645
:1,3,5,15,643,1929,3215,9645
Greatest Common Factor
We found the factors 7037,9645 . The biggest common factor number is the GCF number.
So the greatest common factor 7037,9645 is 1.
Lets's calculate LCM of 309,180
| 3 | 309, 180 |
| 103, 60 |
∴ So the LCM of the given numbers is 3 x 103 x 60 = 18540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18540
Therefore, the GCF of Fractions 7037/309,9645/180 is 1/18540
Least Common Multiple of 309,180 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 309,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,180) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,180) x common factors =3 x 1 = 3
LCM(309,180) = ( 309 × 180 ) / 3
LCM(309,180) = 55620 / 3
LCM(309,180) = 18540
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FAQs on GCF of Fractions of 7037/309, 9645/180
1. What is the HCF of 7037,9645?
The HCF of 7037,9645 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 7037/309, 9645/180?
Answer: GCF of Numerators as per given numbers 7037/309, 9645/180 is
GCF of Numerators i.e. for 7037,9645 is 1
LCM of denominators i.e. for 309,180 is 18540.
Thus, GCF of Fractions is 1/18540.Finally, GCF of Fractions for 7037/309, 9645/180 is 1/18540.