GCF of 8612/280, 8665/7159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8612/280, 8665/7159 i.e 1/2004520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8612/280, 8665/7159.
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 8612/280,8665/7159?
Given fractions are 8612/280,8665/7159
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 8612/280,8665/7159, numerators are 8612,8665
Denominators are 280,7159
The GCF of 8612,8665 is 1 .
LCM of 280,7159 is 2004520.
The greatest common factor of 8612/280,8665/7159 = [GCF of 8612,8665]/[LCM of 280,7159]= 1/2004520
Therefore, the GCF of 8612/280,8665/7159 is 1/2004520.
To find the highest common factor of 8612,8665, we have to find the factors of both numbers and list the highest common factor.
The factors of 8612 are 1, 2, 4, 2153, 4306, 8612
The factors of 8665 are 1, 5, 1733, 8665
The HCF of 8612,8665 is 1.
Lets's calculate GCF of 8612,8665
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8612,8665 By Matching Biggest Common Factor Method
Now, list down the factors of 8612
:1,2,4,2153,4306,8612
Now, list down the factors of 8665
:1,5,1733,8665
Greatest Common Factor
We found the factors 8612,8665 . The biggest common factor number is the GCF number.
So the greatest common factor 8612,8665 is 1.
Lets's calculate LCM of 280,7159
Given numbers has no common factors except 1. So, there LCM is their product i.e 2004520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2004520
Therefore, the GCF of Fractions 8612/280,8665/7159 is 1/2004520
Least Common Multiple of 280,7159 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 280,7159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,7159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(280,7159) x common factors =1 x 1 = 1
LCM(280,7159) = ( 280 × 7159 ) / 1
LCM(280,7159) = 2004520 / 1
LCM(280,7159) = 2004520
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FAQs on GCF of Fractions of 8612/280, 8665/7159
1. What is the HCF of 8612,8665?
The HCF of 8612,8665 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 8612/280, 8665/7159?
Answer: GCF of Numerators as per given numbers 8612/280, 8665/7159 is
GCF of Numerators i.e. for 8612,8665 is 1
LCM of denominators i.e. for 280,7159 is 2004520.
Thus, GCF of Fractions is 1/2004520.Finally, GCF of Fractions for 8612/280, 8665/7159 is 1/2004520.