GCF of 8045/234, 7455/265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8045/234, 7455/265 i.e 5/62010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8045/234, 7455/265.
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 8045/234,7455/265?
Given fractions are 8045/234,7455/265
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 8045/234,7455/265, numerators are 8045,7455
Denominators are 234,265
The GCF of 8045,7455 is 5 .
LCM of 234,265 is 62010.
The greatest common factor of 8045/234,7455/265 = [GCF of 8045,7455]/[LCM of 234,265]= 5/62010
Therefore, the GCF of 8045/234,7455/265 is 5/62010.
To find the highest common factor of 8045,7455, we have to find the factors of both numbers and list the highest common factor.
The factors of 8045 are 1, 5, 1609, 8045
The factors of 7455 are 1, 3, 5, 7, 15, 21, 35, 71, 105, 213, 355, 497, 1065, 1491, 2485, 7455
The HCF of 8045,7455 is 5.
Lets's calculate GCF of 8045,7455
| 5 | 8045, 7455 |
| 1609, 1491 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8045,7455 By Matching Biggest Common Factor Method
Now, list down the factors of 8045
:1,5,1609,8045
Now, list down the factors of 7455
:1,3,5,7,15,21,35,71,105,213,355,497,1065,1491,2485,7455
Greatest Common Factor
We found the factors 8045,7455 . The biggest common factor number is the GCF number.
So the greatest common factor 8045,7455 is 5.
Lets's calculate LCM of 234,265
Given numbers has no common factors except 1. So, there LCM is their product i.e 62010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/62010
Therefore, the GCF of Fractions 8045/234,7455/265 is 5/62010
Least Common Multiple of 234,265 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 234,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(234,265) x common factors =1 x 1 = 1
LCM(234,265) = ( 234 × 265 ) / 1
LCM(234,265) = 62010 / 1
LCM(234,265) = 62010
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FAQs on GCF of Fractions of 8045/234, 7455/265
1. What is the HCF of 8045,7455?
The HCF of 8045,7455 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 8045/234, 7455/265?
Answer: GCF of Numerators as per given numbers 8045/234, 7455/265 is
GCF of Numerators i.e. for 8045,7455 is 5
LCM of denominators i.e. for 234,265 is 62010.
Thus, GCF of Fractions is 5/62010.Finally, GCF of Fractions for 8045/234, 7455/265 is 5/62010.