GCF of 302/629, 5865/328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 302/629, 5865/328 i.e 1/206312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 302/629, 5865/328.
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 302/629,5865/328?
Given fractions are 302/629,5865/328
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 302/629,5865/328, numerators are 302,5865
Denominators are 629,328
The GCF of 302,5865 is 1 .
LCM of 629,328 is 206312.
The greatest common factor of 302/629,5865/328 = [GCF of 302,5865]/[LCM of 629,328]= 1/206312
Therefore, the GCF of 302/629,5865/328 is 1/206312.
To find the highest common factor of 302,5865, we have to find the factors of both numbers and list the highest common factor.
The factors of 302 are 1, 2, 151, 302
The factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865
The HCF of 302,5865 is 1.
Lets's calculate GCF of 302,5865
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 302,5865 By Matching Biggest Common Factor Method
Now, list down the factors of 302
:1,2,151,302
Now, list down the factors of 5865
:1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865
Greatest Common Factor
We found the factors 302,5865 . The biggest common factor number is the GCF number.
So the greatest common factor 302,5865 is 1.
Lets's calculate LCM of 629,328
Given numbers has no common factors except 1. So, there LCM is their product i.e 206312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206312
Therefore, the GCF of Fractions 302/629,5865/328 is 1/206312
Least Common Multiple of 629,328 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 629,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,328) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,328) x common factors =1 x 1 = 1
LCM(629,328) = ( 629 × 328 ) / 1
LCM(629,328) = 206312 / 1
LCM(629,328) = 206312
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 302/629, 5865/328
1. What is the HCF of 302,5865?
The HCF of 302,5865 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 302/629, 5865/328?
Answer: GCF of Numerators as per given numbers 302/629, 5865/328 is
GCF of Numerators i.e. for 302,5865 is 1
LCM of denominators i.e. for 629,328 is 206312.
Thus, GCF of Fractions is 1/206312.Finally, GCF of Fractions for 302/629, 5865/328 is 1/206312.