GCF of 7599/465, 6849/903
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7599/465, 6849/903 i.e 3/139965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7599/465, 6849/903.
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 7599/465,6849/903?
Given fractions are 7599/465,6849/903
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 7599/465,6849/903, numerators are 7599,6849
Denominators are 465,903
The GCF of 7599,6849 is 3 .
LCM of 465,903 is 139965.
The greatest common factor of 7599/465,6849/903 = [GCF of 7599,6849]/[LCM of 465,903]= 3/139965
Therefore, the GCF of 7599/465,6849/903 is 3/139965.
To find the highest common factor of 7599,6849, we have to find the factors of both numbers and list the highest common factor.
The factors of 7599 are 1, 3, 17, 51, 149, 447, 2533, 7599
The factors of 6849 are 1, 3, 9, 761, 2283, 6849
The HCF of 7599,6849 is 3.
Lets's calculate GCF of 7599,6849
| 3 | 7599, 6849 |
| 2533, 2283 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7599,6849 By Matching Biggest Common Factor Method
Now, list down the factors of 7599
:1,3,17,51,149,447,2533,7599
Now, list down the factors of 6849
:1,3,9,761,2283,6849
Greatest Common Factor
We found the factors 7599,6849 . The biggest common factor number is the GCF number.
So the greatest common factor 7599,6849 is 3.
Lets's calculate LCM of 465,903
| 3 | 465, 903 |
| 155, 301 |
∴ So the LCM of the given numbers is 3 x 155 x 301 = 139965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/139965
Therefore, the GCF of Fractions 7599/465,6849/903 is 3/139965
Least Common Multiple of 465,903 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 465,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,903) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(465,903) x common factors =3 x 1 = 3
LCM(465,903) = ( 465 × 903 ) / 3
LCM(465,903) = 419895 / 3
LCM(465,903) = 139965
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FAQs on GCF of Fractions of 7599/465, 6849/903
1. What is the HCF of 7599,6849?
The HCF of 7599,6849 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 7599/465, 6849/903?
Answer: GCF of Numerators as per given numbers 7599/465, 6849/903 is
GCF of Numerators i.e. for 7599,6849 is 3
LCM of denominators i.e. for 465,903 is 139965.
Thus, GCF of Fractions is 3/139965.Finally, GCF of Fractions for 7599/465, 6849/903 is 3/139965.