GCF of 4765/131, 4535/313
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4765/131, 4535/313 i.e 5/41003 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4765/131, 4535/313.
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 4765/131,4535/313?
Given fractions are 4765/131,4535/313
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 4765/131,4535/313, numerators are 4765,4535
Denominators are 131,313
The GCF of 4765,4535 is 5 .
LCM of 131,313 is 41003.
The greatest common factor of 4765/131,4535/313 = [GCF of 4765,4535]/[LCM of 131,313]= 5/41003
Therefore, the GCF of 4765/131,4535/313 is 5/41003.
To find the highest common factor of 4765,4535, we have to find the factors of both numbers and list the highest common factor.
The factors of 4765 are 1, 5, 953, 4765
The factors of 4535 are 1, 5, 907, 4535
The HCF of 4765,4535 is 5.
Lets's calculate GCF of 4765,4535
| 5 | 4765, 4535 |
| 953, 907 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4765,4535 By Matching Biggest Common Factor Method
Now, list down the factors of 4765
:1,5,953,4765
Now, list down the factors of 4535
:1,5,907,4535
Greatest Common Factor
We found the factors 4765,4535 . The biggest common factor number is the GCF number.
So the greatest common factor 4765,4535 is 5.
Lets's calculate LCM of 131,313
Given numbers has no common factors except 1. So, there LCM is their product i.e 41003
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/41003
Therefore, the GCF of Fractions 4765/131,4535/313 is 5/41003
Least Common Multiple of 131,313 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 131,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,313) x common factors =1 x 1 = 1
LCM(131,313) = ( 131 × 313 ) / 1
LCM(131,313) = 41003 / 1
LCM(131,313) = 41003
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FAQs on GCF of Fractions of 4765/131, 4535/313
1. What is the HCF of 4765,4535?
The HCF of 4765,4535 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 4765/131, 4535/313?
Answer: GCF of Numerators as per given numbers 4765/131, 4535/313 is
GCF of Numerators i.e. for 4765,4535 is 5
LCM of denominators i.e. for 131,313 is 41003.
Thus, GCF of Fractions is 5/41003.Finally, GCF of Fractions for 4765/131, 4535/313 is 5/41003.