GCF of 6434/915, 4365/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6434/915, 4365/289 i.e 1/264435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6434/915, 4365/289.
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 6434/915,4365/289?
Given fractions are 6434/915,4365/289
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 6434/915,4365/289, numerators are 6434,4365
Denominators are 915,289
The GCF of 6434,4365 is 1 .
LCM of 915,289 is 264435.
The greatest common factor of 6434/915,4365/289 = [GCF of 6434,4365]/[LCM of 915,289]= 1/264435
Therefore, the GCF of 6434/915,4365/289 is 1/264435.
To find the highest common factor of 6434,4365, we have to find the factors of both numbers and list the highest common factor.
The factors of 6434 are 1, 2, 3217, 6434
The factors of 4365 are 1, 3, 5, 9, 15, 45, 97, 291, 485, 873, 1455, 4365
The HCF of 6434,4365 is 1.
Lets's calculate GCF of 6434,4365
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6434,4365 By Matching Biggest Common Factor Method
Now, list down the factors of 6434
:1,2,3217,6434
Now, list down the factors of 4365
:1,3,5,9,15,45,97,291,485,873,1455,4365
Greatest Common Factor
We found the factors 6434,4365 . The biggest common factor number is the GCF number.
So the greatest common factor 6434,4365 is 1.
Lets's calculate LCM of 915,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 264435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264435
Therefore, the GCF of Fractions 6434/915,4365/289 is 1/264435
Least Common Multiple of 915,289 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 915,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(915,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(915,289) x common factors =1 x 1 = 1
LCM(915,289) = ( 915 × 289 ) / 1
LCM(915,289) = 264435 / 1
LCM(915,289) = 264435
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FAQs on GCF of Fractions of 6434/915, 4365/289
1. What is the HCF of 6434,4365?
The HCF of 6434,4365 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 6434/915, 4365/289?
Answer: GCF of Numerators as per given numbers 6434/915, 4365/289 is
GCF of Numerators i.e. for 6434,4365 is 1
LCM of denominators i.e. for 915,289 is 264435.
Thus, GCF of Fractions is 1/264435.Finally, GCF of Fractions for 6434/915, 4365/289 is 1/264435.