GCF of 3013/298, 7455/810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3013/298, 7455/810 i.e 1/120690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3013/298, 7455/810.
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 3013/298,7455/810?
Given fractions are 3013/298,7455/810
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 3013/298,7455/810, numerators are 3013,7455
Denominators are 298,810
The GCF of 3013,7455 is 1 .
LCM of 298,810 is 120690.
The greatest common factor of 3013/298,7455/810 = [GCF of 3013,7455]/[LCM of 298,810]= 1/120690
Therefore, the GCF of 3013/298,7455/810 is 1/120690.
To find the highest common factor of 3013,7455, we have to find the factors of both numbers and list the highest common factor.
The factors of 3013 are 1, 23, 131, 3013
The factors of 7455 are 1, 3, 5, 7, 15, 21, 35, 71, 105, 213, 355, 497, 1065, 1491, 2485, 7455
The HCF of 3013,7455 is 1.
Lets's calculate GCF of 3013,7455
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3013,7455 By Matching Biggest Common Factor Method
Now, list down the factors of 3013
:1,23,131,3013
Now, list down the factors of 7455
:1,3,5,7,15,21,35,71,105,213,355,497,1065,1491,2485,7455
Greatest Common Factor
We found the factors 3013,7455 . The biggest common factor number is the GCF number.
So the greatest common factor 3013,7455 is 1.
Lets's calculate LCM of 298,810
| 2 | 298, 810 |
| 149, 405 |
∴ So the LCM of the given numbers is 2 x 149 x 405 = 120690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120690
Therefore, the GCF of Fractions 3013/298,7455/810 is 1/120690
Least Common Multiple of 298,810 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 298,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,810) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,810) x common factors =2 x 1 = 2
LCM(298,810) = ( 298 × 810 ) / 2
LCM(298,810) = 241380 / 2
LCM(298,810) = 120690
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FAQs on GCF of Fractions of 3013/298, 7455/810
1. What is the HCF of 3013,7455?
The HCF of 3013,7455 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 3013/298, 7455/810?
Answer: GCF of Numerators as per given numbers 3013/298, 7455/810 is
GCF of Numerators i.e. for 3013,7455 is 1
LCM of denominators i.e. for 298,810 is 120690.
Thus, GCF of Fractions is 1/120690.Finally, GCF of Fractions for 3013/298, 7455/810 is 1/120690.