GCF of 655/53, 405/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 655/53, 405/114 i.e 5/6042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 655/53, 405/114.
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 655/53,405/114?
Given fractions are 655/53,405/114
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 655/53,405/114, numerators are 655,405
Denominators are 53,114
The GCF of 655,405 is 5 .
LCM of 53,114 is 6042.
The greatest common factor of 655/53,405/114 = [GCF of 655,405]/[LCM of 53,114]= 5/6042
Therefore, the GCF of 655/53,405/114 is 5/6042.
To find the highest common factor of 655,405, we have to find the factors of both numbers and list the highest common factor.
The factors of 655 are 1, 5, 131, 655
The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The HCF of 655,405 is 5.
Lets's calculate GCF of 655,405
| 5 | 655, 405 |
| 131, 81 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 655,405 By Matching Biggest Common Factor Method
Now, list down the factors of 655
:1,5,131,655
Now, list down the factors of 405
:1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 655,405 . The biggest common factor number is the GCF number.
So the greatest common factor 655,405 is 5.
Lets's calculate LCM of 53,114
Given numbers has no common factors except 1. So, there LCM is their product i.e 6042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6042
Therefore, the GCF of Fractions 655/53,405/114 is 5/6042
Least Common Multiple of 53,114 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 53,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,114) x common factors =1 x 1 = 1
LCM(53,114) = ( 53 × 114 ) / 1
LCM(53,114) = 6042 / 1
LCM(53,114) = 6042
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FAQs on GCF of Fractions of 655/53, 405/114
1. What is the HCF of 655,405?
The HCF of 655,405 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 655/53, 405/114?
Answer: GCF of Numerators as per given numbers 655/53, 405/114 is
GCF of Numerators i.e. for 655,405 is 5
LCM of denominators i.e. for 53,114 is 6042.
Thus, GCF of Fractions is 5/6042.Finally, GCF of Fractions for 655/53, 405/114 is 5/6042.