GCF of 129/304, 809/937
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 129/304, 809/937 i.e 1/284848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 129/304, 809/937.
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 129/304,809/937?
Given fractions are 129/304,809/937
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 129/304,809/937, numerators are 129,809
Denominators are 304,937
The GCF of 129,809 is 1 .
LCM of 304,937 is 284848.
The greatest common factor of 129/304,809/937 = [GCF of 129,809]/[LCM of 304,937]= 1/284848
Therefore, the GCF of 129/304,809/937 is 1/284848.
To find the highest common factor of 129,809, we have to find the factors of both numbers and list the highest common factor.
The factors of 129 are 1, 3, 43, 129
The factors of 809 are 1, 809
The HCF of 129,809 is 1.
Lets's calculate GCF of 129,809
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 129,809 By Matching Biggest Common Factor Method
Now, list down the factors of 129
:1,3,43,129
Now, list down the factors of 809
:1,809
Greatest Common Factor
We found the factors 129,809 . The biggest common factor number is the GCF number.
So the greatest common factor 129,809 is 1.
Lets's calculate LCM of 304,937
Given numbers has no common factors except 1. So, there LCM is their product i.e 284848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284848
Therefore, the GCF of Fractions 129/304,809/937 is 1/284848
Least Common Multiple of 304,937 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 304,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,937) x common factors =1 x 1 = 1
LCM(304,937) = ( 304 × 937 ) / 1
LCM(304,937) = 284848 / 1
LCM(304,937) = 284848
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FAQs on GCF of Fractions of 129/304, 809/937
1. What is the HCF of 129,809?
The HCF of 129,809 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 129/304, 809/937?
Answer: GCF of Numerators as per given numbers 129/304, 809/937 is
GCF of Numerators i.e. for 129,809 is 1
LCM of denominators i.e. for 304,937 is 284848.
Thus, GCF of Fractions is 1/284848.Finally, GCF of Fractions for 129/304, 809/937 is 1/284848.