GCF of 7240/945, 5135/7643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7240/945, 5135/7643 i.e 5/7222635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7240/945, 5135/7643.
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 7240/945,5135/7643?
Given fractions are 7240/945,5135/7643
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 7240/945,5135/7643, numerators are 7240,5135
Denominators are 945,7643
The GCF of 7240,5135 is 5 .
LCM of 945,7643 is 7222635.
The greatest common factor of 7240/945,5135/7643 = [GCF of 7240,5135]/[LCM of 945,7643]= 5/7222635
Therefore, the GCF of 7240/945,5135/7643 is 5/7222635.
To find the highest common factor of 7240,5135, we have to find the factors of both numbers and list the highest common factor.
The factors of 7240 are 1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620, 7240
The factors of 5135 are 1, 5, 13, 65, 79, 395, 1027, 5135
The HCF of 7240,5135 is 5.
Lets's calculate GCF of 7240,5135
| 5 | 7240, 5135 |
| 1448, 1027 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7240,5135 By Matching Biggest Common Factor Method
Now, list down the factors of 7240
:1,2,4,5,8,10,20,40,181,362,724,905,1448,1810,3620,7240
Now, list down the factors of 5135
:1,5,13,65,79,395,1027,5135
Greatest Common Factor
We found the factors 7240,5135 . The biggest common factor number is the GCF number.
So the greatest common factor 7240,5135 is 5.
Lets's calculate LCM of 945,7643
Given numbers has no common factors except 1. So, there LCM is their product i.e 7222635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7222635
Therefore, the GCF of Fractions 7240/945,5135/7643 is 5/7222635
Least Common Multiple of 945,7643 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 945,7643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,7643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(945,7643) x common factors =1 x 1 = 1
LCM(945,7643) = ( 945 × 7643 ) / 1
LCM(945,7643) = 7222635 / 1
LCM(945,7643) = 7222635
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7240/945, 5135/7643
1. What is the HCF of 7240,5135?
The HCF of 7240,5135 is 5
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 7240/945, 5135/7643?
Answer: GCF of Numerators as per given numbers 7240/945, 5135/7643 is
GCF of Numerators i.e. for 7240,5135 is 5
LCM of denominators i.e. for 945,7643 is 7222635.
Thus, GCF of Fractions is 5/7222635.Finally, GCF of Fractions for 7240/945, 5135/7643 is 5/7222635.