GCF of 4516/764, 2125/3675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4516/764, 2125/3675 i.e 1/2807700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4516/764, 2125/3675.
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 4516/764,2125/3675?
Given fractions are 4516/764,2125/3675
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 4516/764,2125/3675, numerators are 4516,2125
Denominators are 764,3675
The GCF of 4516,2125 is 1 .
LCM of 764,3675 is 2807700.
The greatest common factor of 4516/764,2125/3675 = [GCF of 4516,2125]/[LCM of 764,3675]= 1/2807700
Therefore, the GCF of 4516/764,2125/3675 is 1/2807700.
To find the highest common factor of 4516,2125, we have to find the factors of both numbers and list the highest common factor.
The factors of 4516 are 1, 2, 4, 1129, 2258, 4516
The factors of 2125 are 1, 5, 17, 25, 85, 125, 425, 2125
The HCF of 4516,2125 is 1.
Lets's calculate GCF of 4516,2125
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4516,2125 By Matching Biggest Common Factor Method
Now, list down the factors of 4516
:1,2,4,1129,2258,4516
Now, list down the factors of 2125
:1,5,17,25,85,125,425,2125
Greatest Common Factor
We found the factors 4516,2125 . The biggest common factor number is the GCF number.
So the greatest common factor 4516,2125 is 1.
Lets's calculate LCM of 764,3675
Given numbers has no common factors except 1. So, there LCM is their product i.e 2807700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2807700
Therefore, the GCF of Fractions 4516/764,2125/3675 is 1/2807700
Least Common Multiple of 764,3675 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 764,3675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,3675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,3675) x common factors =1 x 1 = 1
LCM(764,3675) = ( 764 × 3675 ) / 1
LCM(764,3675) = 2807700 / 1
LCM(764,3675) = 2807700
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FAQs on GCF of Fractions of 4516/764, 2125/3675
1. What is the HCF of 4516,2125?
The HCF of 4516,2125 is 1
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 4516/764, 2125/3675?
Answer: GCF of Numerators as per given numbers 4516/764, 2125/3675 is
GCF of Numerators i.e. for 4516,2125 is 1
LCM of denominators i.e. for 764,3675 is 2807700.
Thus, GCF of Fractions is 1/2807700.Finally, GCF of Fractions for 4516/764, 2125/3675 is 1/2807700.