GCF of 8069/129, 9137/928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8069/129, 9137/928 i.e 1/119712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8069/129, 9137/928.
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 8069/129,9137/928?
Given fractions are 8069/129,9137/928
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 8069/129,9137/928, numerators are 8069,9137
Denominators are 129,928
The GCF of 8069,9137 is 1 .
LCM of 129,928 is 119712.
The greatest common factor of 8069/129,9137/928 = [GCF of 8069,9137]/[LCM of 129,928]= 1/119712
Therefore, the GCF of 8069/129,9137/928 is 1/119712.
To find the highest common factor of 8069,9137, we have to find the factors of both numbers and list the highest common factor.
The factors of 8069 are 1, 8069
The factors of 9137 are 1, 9137
The HCF of 8069,9137 is 1.
Lets's calculate GCF of 8069,9137
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8069,9137 By Matching Biggest Common Factor Method
Now, list down the factors of 8069
:1,8069
Now, list down the factors of 9137
:1,9137
Greatest Common Factor
We found the factors 8069,9137 . The biggest common factor number is the GCF number.
So the greatest common factor 8069,9137 is 1.
Lets's calculate LCM of 129,928
Given numbers has no common factors except 1. So, there LCM is their product i.e 119712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119712
Therefore, the GCF of Fractions 8069/129,9137/928 is 1/119712
Least Common Multiple of 129,928 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 129,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,928) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,928) x common factors =1 x 1 = 1
LCM(129,928) = ( 129 × 928 ) / 1
LCM(129,928) = 119712 / 1
LCM(129,928) = 119712
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FAQs on GCF of Fractions of 8069/129, 9137/928
1. What is the HCF of 8069,9137?
The HCF of 8069,9137 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 8069/129, 9137/928?
Answer: GCF of Numerators as per given numbers 8069/129, 9137/928 is
GCF of Numerators i.e. for 8069,9137 is 1
LCM of denominators i.e. for 129,928 is 119712.
Thus, GCF of Fractions is 1/119712.Finally, GCF of Fractions for 8069/129, 9137/928 is 1/119712.