GCF of 402/14, 365/2173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 402/14, 365/2173 i.e 1/30422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 402/14, 365/2173.
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 402/14,365/2173?
Given fractions are 402/14,365/2173
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 402/14,365/2173, numerators are 402,365
Denominators are 14,2173
The GCF of 402,365 is 1 .
LCM of 14,2173 is 30422.
The greatest common factor of 402/14,365/2173 = [GCF of 402,365]/[LCM of 14,2173]= 1/30422
Therefore, the GCF of 402/14,365/2173 is 1/30422.
To find the highest common factor of 402,365, we have to find the factors of both numbers and list the highest common factor.
The factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402
The factors of 365 are 1, 5, 73, 365
The HCF of 402,365 is 1.
Lets's calculate GCF of 402,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 402,365 By Matching Biggest Common Factor Method
Now, list down the factors of 402
:1,2,3,6,67,134,201,402
Now, list down the factors of 365
:1,5,73,365
Greatest Common Factor
We found the factors 402,365 . The biggest common factor number is the GCF number.
So the greatest common factor 402,365 is 1.
Lets's calculate LCM of 14,2173
Given numbers has no common factors except 1. So, there LCM is their product i.e 30422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30422
Therefore, the GCF of Fractions 402/14,365/2173 is 1/30422
Least Common Multiple of 14,2173 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 14,2173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,2173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,2173) x common factors =1 x 1 = 1
LCM(14,2173) = ( 14 × 2173 ) / 1
LCM(14,2173) = 30422 / 1
LCM(14,2173) = 30422
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FAQs on GCF of Fractions of 402/14, 365/2173
1. What is the HCF of 402,365?
The HCF of 402,365 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 402/14, 365/2173?
Answer: GCF of Numerators as per given numbers 402/14, 365/2173 is
GCF of Numerators i.e. for 402,365 is 1
LCM of denominators i.e. for 14,2173 is 30422.
Thus, GCF of Fractions is 1/30422.Finally, GCF of Fractions for 402/14, 365/2173 is 1/30422.