GCF of 1133/184, 8028/6973
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1133/184, 8028/6973 i.e 1/1283032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1133/184, 8028/6973.
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 1133/184,8028/6973?
Given fractions are 1133/184,8028/6973
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 1133/184,8028/6973, numerators are 1133,8028
Denominators are 184,6973
The GCF of 1133,8028 is 1 .
LCM of 184,6973 is 1283032.
The greatest common factor of 1133/184,8028/6973 = [GCF of 1133,8028]/[LCM of 184,6973]= 1/1283032
Therefore, the GCF of 1133/184,8028/6973 is 1/1283032.
To find the highest common factor of 1133,8028, we have to find the factors of both numbers and list the highest common factor.
The factors of 1133 are 1, 11, 103, 1133
The factors of 8028 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 8028
The HCF of 1133,8028 is 1.
Lets's calculate GCF of 1133,8028
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1133,8028 By Matching Biggest Common Factor Method
Now, list down the factors of 1133
:1,11,103,1133
Now, list down the factors of 8028
:1,2,3,4,6,9,12,18,36,223,446,669,892,1338,2007,2676,4014,8028
Greatest Common Factor
We found the factors 1133,8028 . The biggest common factor number is the GCF number.
So the greatest common factor 1133,8028 is 1.
Lets's calculate LCM of 184,6973
Given numbers has no common factors except 1. So, there LCM is their product i.e 1283032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1283032
Therefore, the GCF of Fractions 1133/184,8028/6973 is 1/1283032
Least Common Multiple of 184,6973 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 184,6973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,6973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,6973) x common factors =1 x 1 = 1
LCM(184,6973) = ( 184 × 6973 ) / 1
LCM(184,6973) = 1283032 / 1
LCM(184,6973) = 1283032
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FAQs on GCF of Fractions of 1133/184, 8028/6973
1. What is the HCF of 1133,8028?
The HCF of 1133,8028 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 1133/184, 8028/6973?
Answer: GCF of Numerators as per given numbers 1133/184, 8028/6973 is
GCF of Numerators i.e. for 1133,8028 is 1
LCM of denominators i.e. for 184,6973 is 1283032.
Thus, GCF of Fractions is 1/1283032.Finally, GCF of Fractions for 1133/184, 8028/6973 is 1/1283032.