GCF of 4283/464, 5260/665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4283/464, 5260/665 i.e 1/308560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4283/464, 5260/665.
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 4283/464,5260/665?
Given fractions are 4283/464,5260/665
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 4283/464,5260/665, numerators are 4283,5260
Denominators are 464,665
The GCF of 4283,5260 is 1 .
LCM of 464,665 is 308560.
The greatest common factor of 4283/464,5260/665 = [GCF of 4283,5260]/[LCM of 464,665]= 1/308560
Therefore, the GCF of 4283/464,5260/665 is 1/308560.
To find the highest common factor of 4283,5260, we have to find the factors of both numbers and list the highest common factor.
The factors of 4283 are 1, 4283
The factors of 5260 are 1, 2, 4, 5, 10, 20, 263, 526, 1052, 1315, 2630, 5260
The HCF of 4283,5260 is 1.
Lets's calculate GCF of 4283,5260
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4283,5260 By Matching Biggest Common Factor Method
Now, list down the factors of 4283
:1,4283
Now, list down the factors of 5260
:1,2,4,5,10,20,263,526,1052,1315,2630,5260
Greatest Common Factor
We found the factors 4283,5260 . The biggest common factor number is the GCF number.
So the greatest common factor 4283,5260 is 1.
Lets's calculate LCM of 464,665
Given numbers has no common factors except 1. So, there LCM is their product i.e 308560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308560
Therefore, the GCF of Fractions 4283/464,5260/665 is 1/308560
Least Common Multiple of 464,665 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 464,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,665) x common factors =1 x 1 = 1
LCM(464,665) = ( 464 × 665 ) / 1
LCM(464,665) = 308560 / 1
LCM(464,665) = 308560
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FAQs on GCF of Fractions of 4283/464, 5260/665
1. What is the HCF of 4283,5260?
The HCF of 4283,5260 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 4283/464, 5260/665?
Answer: GCF of Numerators as per given numbers 4283/464, 5260/665 is
GCF of Numerators i.e. for 4283,5260 is 1
LCM of denominators i.e. for 464,665 is 308560.
Thus, GCF of Fractions is 1/308560.Finally, GCF of Fractions for 4283/464, 5260/665 is 1/308560.