GCF of 7333/183, 5132/676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7333/183, 5132/676 i.e 1/123708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7333/183, 5132/676.
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 7333/183,5132/676?
Given fractions are 7333/183,5132/676
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 7333/183,5132/676, numerators are 7333,5132
Denominators are 183,676
The GCF of 7333,5132 is 1 .
LCM of 183,676 is 123708.
The greatest common factor of 7333/183,5132/676 = [GCF of 7333,5132]/[LCM of 183,676]= 1/123708
Therefore, the GCF of 7333/183,5132/676 is 1/123708.
To find the highest common factor of 7333,5132, we have to find the factors of both numbers and list the highest common factor.
The factors of 7333 are 1, 7333
The factors of 5132 are 1, 2, 4, 1283, 2566, 5132
The HCF of 7333,5132 is 1.
Lets's calculate GCF of 7333,5132
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7333,5132 By Matching Biggest Common Factor Method
Now, list down the factors of 7333
:1,7333
Now, list down the factors of 5132
:1,2,4,1283,2566,5132
Greatest Common Factor
We found the factors 7333,5132 . The biggest common factor number is the GCF number.
So the greatest common factor 7333,5132 is 1.
Lets's calculate LCM of 183,676
Given numbers has no common factors except 1. So, there LCM is their product i.e 123708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123708
Therefore, the GCF of Fractions 7333/183,5132/676 is 1/123708
Least Common Multiple of 183,676 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 183,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,676) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(183,676) x common factors =1 x 1 = 1
LCM(183,676) = ( 183 × 676 ) / 1
LCM(183,676) = 123708 / 1
LCM(183,676) = 123708
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FAQs on GCF of Fractions of 7333/183, 5132/676
1. What is the HCF of 7333,5132?
The HCF of 7333,5132 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 7333/183, 5132/676?
Answer: GCF of Numerators as per given numbers 7333/183, 5132/676 is
GCF of Numerators i.e. for 7333,5132 is 1
LCM of denominators i.e. for 183,676 is 123708.
Thus, GCF of Fractions is 1/123708.Finally, GCF of Fractions for 7333/183, 5132/676 is 1/123708.