GCF of 8285/125, 9087/2038
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8285/125, 9087/2038 i.e 1/254750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8285/125, 9087/2038.
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 8285/125,9087/2038?
Given fractions are 8285/125,9087/2038
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 8285/125,9087/2038, numerators are 8285,9087
Denominators are 125,2038
The GCF of 8285,9087 is 1 .
LCM of 125,2038 is 254750.
The greatest common factor of 8285/125,9087/2038 = [GCF of 8285,9087]/[LCM of 125,2038]= 1/254750
Therefore, the GCF of 8285/125,9087/2038 is 1/254750.
To find the highest common factor of 8285,9087, we have to find the factors of both numbers and list the highest common factor.
The factors of 8285 are 1, 5, 1657, 8285
The factors of 9087 are 1, 3, 13, 39, 233, 699, 3029, 9087
The HCF of 8285,9087 is 1.
Lets's calculate GCF of 8285,9087
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8285,9087 By Matching Biggest Common Factor Method
Now, list down the factors of 8285
:1,5,1657,8285
Now, list down the factors of 9087
:1,3,13,39,233,699,3029,9087
Greatest Common Factor
We found the factors 8285,9087 . The biggest common factor number is the GCF number.
So the greatest common factor 8285,9087 is 1.
Lets's calculate LCM of 125,2038
Given numbers has no common factors except 1. So, there LCM is their product i.e 254750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254750
Therefore, the GCF of Fractions 8285/125,9087/2038 is 1/254750
Least Common Multiple of 125,2038 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 125,2038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,2038) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,2038) x common factors =1 x 1 = 1
LCM(125,2038) = ( 125 × 2038 ) / 1
LCM(125,2038) = 254750 / 1
LCM(125,2038) = 254750
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FAQs on GCF of Fractions of 8285/125, 9087/2038
1. What is the HCF of 8285,9087?
The HCF of 8285,9087 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 8285/125, 9087/2038?
Answer: GCF of Numerators as per given numbers 8285/125, 9087/2038 is
GCF of Numerators i.e. for 8285,9087 is 1
LCM of denominators i.e. for 125,2038 is 254750.
Thus, GCF of Fractions is 1/254750.Finally, GCF of Fractions for 8285/125, 9087/2038 is 1/254750.