GCF of 7458/558, 7315/1036
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7458/558, 7315/1036 i.e 11/289044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7458/558, 7315/1036.
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 7458/558,7315/1036?
Given fractions are 7458/558,7315/1036
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 7458/558,7315/1036, numerators are 7458,7315
Denominators are 558,1036
The GCF of 7458,7315 is 11 .
LCM of 558,1036 is 289044.
The greatest common factor of 7458/558,7315/1036 = [GCF of 7458,7315]/[LCM of 558,1036]= 11/289044
Therefore, the GCF of 7458/558,7315/1036 is 11/289044.
To find the highest common factor of 7458,7315, we have to find the factors of both numbers and list the highest common factor.
The factors of 7458 are 1, 2, 3, 6, 11, 22, 33, 66, 113, 226, 339, 678, 1243, 2486, 3729, 7458
The factors of 7315 are 1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315
The HCF of 7458,7315 is 11.
Lets's calculate GCF of 7458,7315
| 11 | 7458, 7315 |
| 678, 665 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7458,7315 By Matching Biggest Common Factor Method
Now, list down the factors of 7458
:1,2,3,6,11,22,33,66,113,226,339,678,1243,2486,3729,7458
Now, list down the factors of 7315
:1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315
Greatest Common Factor
We found the factors 7458,7315 . The biggest common factor number is the GCF number.
So the greatest common factor 7458,7315 is 11.
Lets's calculate LCM of 558,1036
| 2 | 558, 1036 |
| 279, 518 |
∴ So the LCM of the given numbers is 2 x 279 x 518 = 289044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/289044
Therefore, the GCF of Fractions 7458/558,7315/1036 is 11/289044
Least Common Multiple of 558,1036 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 558,1036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,1036) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(558,1036) x common factors =2 x 1 = 2
LCM(558,1036) = ( 558 × 1036 ) / 2
LCM(558,1036) = 578088 / 2
LCM(558,1036) = 289044
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7458/558, 7315/1036
1. What is the HCF of 7458,7315?
The HCF of 7458,7315 is 11
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 7458/558, 7315/1036?
Answer: GCF of Numerators as per given numbers 7458/558, 7315/1036 is
GCF of Numerators i.e. for 7458,7315 is 11
LCM of denominators i.e. for 558,1036 is 289044.
Thus, GCF of Fractions is 11/289044.Finally, GCF of Fractions for 7458/558, 7315/1036 is 11/289044.