GCF of 7385/505, 4565/7419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7385/505, 4565/7419 i.e 5/3746595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7385/505, 4565/7419.
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 7385/505,4565/7419?
Given fractions are 7385/505,4565/7419
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 7385/505,4565/7419, numerators are 7385,4565
Denominators are 505,7419
The GCF of 7385,4565 is 5 .
LCM of 505,7419 is 3746595.
The greatest common factor of 7385/505,4565/7419 = [GCF of 7385,4565]/[LCM of 505,7419]= 5/3746595
Therefore, the GCF of 7385/505,4565/7419 is 5/3746595.
To find the highest common factor of 7385,4565, we have to find the factors of both numbers and list the highest common factor.
The factors of 7385 are 1, 5, 7, 35, 211, 1055, 1477, 7385
The factors of 4565 are 1, 5, 11, 55, 83, 415, 913, 4565
The HCF of 7385,4565 is 5.
Lets's calculate GCF of 7385,4565
| 5 | 7385, 4565 |
| 1477, 913 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7385,4565 By Matching Biggest Common Factor Method
Now, list down the factors of 7385
:1,5,7,35,211,1055,1477,7385
Now, list down the factors of 4565
:1,5,11,55,83,415,913,4565
Greatest Common Factor
We found the factors 7385,4565 . The biggest common factor number is the GCF number.
So the greatest common factor 7385,4565 is 5.
Lets's calculate LCM of 505,7419
Given numbers has no common factors except 1. So, there LCM is their product i.e 3746595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3746595
Therefore, the GCF of Fractions 7385/505,4565/7419 is 5/3746595
Least Common Multiple of 505,7419 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 505,7419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,7419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,7419) x common factors =1 x 1 = 1
LCM(505,7419) = ( 505 × 7419 ) / 1
LCM(505,7419) = 3746595 / 1
LCM(505,7419) = 3746595
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FAQs on GCF of Fractions of 7385/505, 4565/7419
1. What is the HCF of 7385,4565?
The HCF of 7385,4565 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 7385/505, 4565/7419?
Answer: GCF of Numerators as per given numbers 7385/505, 4565/7419 is
GCF of Numerators i.e. for 7385,4565 is 5
LCM of denominators i.e. for 505,7419 is 3746595.
Thus, GCF of Fractions is 5/3746595.Finally, GCF of Fractions for 7385/505, 4565/7419 is 5/3746595.