GCF of 7315/262, 4242/3630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7315/262, 4242/3630 i.e 7/475530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7315/262, 4242/3630.
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 7315/262,4242/3630?
Given fractions are 7315/262,4242/3630
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 7315/262,4242/3630, numerators are 7315,4242
Denominators are 262,3630
The GCF of 7315,4242 is 7 .
LCM of 262,3630 is 475530.
The greatest common factor of 7315/262,4242/3630 = [GCF of 7315,4242]/[LCM of 262,3630]= 7/475530
Therefore, the GCF of 7315/262,4242/3630 is 7/475530.
To find the highest common factor of 7315,4242, we have to find the factors of both numbers and list the highest common factor.
The factors of 7315 are 1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315
The factors of 4242 are 1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242
The HCF of 7315,4242 is 7.
Lets's calculate GCF of 7315,4242
| 7 | 7315, 4242 |
| 1045, 606 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7315,4242 By Matching Biggest Common Factor Method
Now, list down the factors of 7315
:1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315
Now, list down the factors of 4242
:1,2,3,6,7,14,21,42,101,202,303,606,707,1414,2121,4242
Greatest Common Factor
We found the factors 7315,4242 . The biggest common factor number is the GCF number.
So the greatest common factor 7315,4242 is 7.
Lets's calculate LCM of 262,3630
| 2 | 262, 3630 |
| 131, 1815 |
∴ So the LCM of the given numbers is 2 x 131 x 1815 = 475530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/475530
Therefore, the GCF of Fractions 7315/262,4242/3630 is 7/475530
Least Common Multiple of 262,3630 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 262,3630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,3630) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,3630) x common factors =2 x 1 = 2
LCM(262,3630) = ( 262 × 3630 ) / 2
LCM(262,3630) = 951060 / 2
LCM(262,3630) = 475530
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7315/262, 4242/3630
1. What is the HCF of 7315,4242?
The HCF of 7315,4242 is 7
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 7315/262, 4242/3630?
Answer: GCF of Numerators as per given numbers 7315/262, 4242/3630 is
GCF of Numerators i.e. for 7315,4242 is 7
LCM of denominators i.e. for 262,3630 is 475530.
Thus, GCF of Fractions is 7/475530.Finally, GCF of Fractions for 7315/262, 4242/3630 is 7/475530.