GCF of 4565/295, 8142/4272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4565/295, 8142/4272 i.e 1/1260240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4565/295, 8142/4272.
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 4565/295,8142/4272?
Given fractions are 4565/295,8142/4272
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 4565/295,8142/4272, numerators are 4565,8142
Denominators are 295,4272
The GCF of 4565,8142 is 1 .
LCM of 295,4272 is 1260240.
The greatest common factor of 4565/295,8142/4272 = [GCF of 4565,8142]/[LCM of 295,4272]= 1/1260240
Therefore, the GCF of 4565/295,8142/4272 is 1/1260240.
To find the highest common factor of 4565,8142, we have to find the factors of both numbers and list the highest common factor.
The factors of 4565 are 1, 5, 11, 55, 83, 415, 913, 4565
The factors of 8142 are 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142
The HCF of 4565,8142 is 1.
Lets's calculate GCF of 4565,8142
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4565,8142 By Matching Biggest Common Factor Method
Now, list down the factors of 4565
:1,5,11,55,83,415,913,4565
Now, list down the factors of 8142
:1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142
Greatest Common Factor
We found the factors 4565,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 4565,8142 is 1.
Lets's calculate LCM of 295,4272
Given numbers has no common factors except 1. So, there LCM is their product i.e 1260240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1260240
Therefore, the GCF of Fractions 4565/295,8142/4272 is 1/1260240
Least Common Multiple of 295,4272 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 295,4272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,4272) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,4272) x common factors =1 x 1 = 1
LCM(295,4272) = ( 295 × 4272 ) / 1
LCM(295,4272) = 1260240 / 1
LCM(295,4272) = 1260240
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FAQs on GCF of Fractions of 4565/295, 8142/4272
1. What is the HCF of 4565,8142?
The HCF of 4565,8142 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 4565/295, 8142/4272?
Answer: GCF of Numerators as per given numbers 4565/295, 8142/4272 is
GCF of Numerators i.e. for 4565,8142 is 1
LCM of denominators i.e. for 295,4272 is 1260240.
Thus, GCF of Fractions is 1/1260240.Finally, GCF of Fractions for 4565/295, 8142/4272 is 1/1260240.