GCF of 8957/431, 9004/4447
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8957/431, 9004/4447 i.e 1/1916657 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8957/431, 9004/4447.
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 8957/431,9004/4447?
Given fractions are 8957/431,9004/4447
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 8957/431,9004/4447, numerators are 8957,9004
Denominators are 431,4447
The GCF of 8957,9004 is 1 .
LCM of 431,4447 is 1916657.
The greatest common factor of 8957/431,9004/4447 = [GCF of 8957,9004]/[LCM of 431,4447]= 1/1916657
Therefore, the GCF of 8957/431,9004/4447 is 1/1916657.
To find the highest common factor of 8957,9004, we have to find the factors of both numbers and list the highest common factor.
The factors of 8957 are 1, 13, 53, 169, 689, 8957
The factors of 9004 are 1, 2, 4, 2251, 4502, 9004
The HCF of 8957,9004 is 1.
Lets's calculate GCF of 8957,9004
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8957,9004 By Matching Biggest Common Factor Method
Now, list down the factors of 8957
:1,13,53,169,689,8957
Now, list down the factors of 9004
:1,2,4,2251,4502,9004
Greatest Common Factor
We found the factors 8957,9004 . The biggest common factor number is the GCF number.
So the greatest common factor 8957,9004 is 1.
Lets's calculate LCM of 431,4447
Given numbers has no common factors except 1. So, there LCM is their product i.e 1916657
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1916657
Therefore, the GCF of Fractions 8957/431,9004/4447 is 1/1916657
Least Common Multiple of 431,4447 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 431,4447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,4447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,4447) x common factors =1 x 1 = 1
LCM(431,4447) = ( 431 × 4447 ) / 1
LCM(431,4447) = 1916657 / 1
LCM(431,4447) = 1916657
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FAQs on GCF of Fractions of 8957/431, 9004/4447
1. What is the HCF of 8957,9004?
The HCF of 8957,9004 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 8957/431, 9004/4447?
Answer: GCF of Numerators as per given numbers 8957/431, 9004/4447 is
GCF of Numerators i.e. for 8957,9004 is 1
LCM of denominators i.e. for 431,4447 is 1916657.
Thus, GCF of Fractions is 1/1916657.Finally, GCF of Fractions for 8957/431, 9004/4447 is 1/1916657.