GCF of 5033/704, 6732/7305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5033/704, 6732/7305 i.e 1/5142720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5033/704, 6732/7305.
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 5033/704,6732/7305?
Given fractions are 5033/704,6732/7305
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 5033/704,6732/7305, numerators are 5033,6732
Denominators are 704,7305
The GCF of 5033,6732 is 1 .
LCM of 704,7305 is 5142720.
The greatest common factor of 5033/704,6732/7305 = [GCF of 5033,6732]/[LCM of 704,7305]= 1/5142720
Therefore, the GCF of 5033/704,6732/7305 is 1/5142720.
To find the highest common factor of 5033,6732, we have to find the factors of both numbers and list the highest common factor.
The factors of 5033 are 1, 7, 719, 5033
The factors of 6732 are 1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 132, 153, 187, 198, 204, 306, 374, 396, 561, 612, 748, 1122, 1683, 2244, 3366, 6732
The HCF of 5033,6732 is 1.
Lets's calculate GCF of 5033,6732
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5033,6732 By Matching Biggest Common Factor Method
Now, list down the factors of 5033
:1,7,719,5033
Now, list down the factors of 6732
:1,2,3,4,6,9,11,12,17,18,22,33,34,36,44,51,66,68,99,102,132,153,187,198,204,306,374,396,561,612,748,1122,1683,2244,3366,6732
Greatest Common Factor
We found the factors 5033,6732 . The biggest common factor number is the GCF number.
So the greatest common factor 5033,6732 is 1.
Lets's calculate LCM of 704,7305
Given numbers has no common factors except 1. So, there LCM is their product i.e 5142720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5142720
Therefore, the GCF of Fractions 5033/704,6732/7305 is 1/5142720
Least Common Multiple of 704,7305 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 704,7305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,7305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(704,7305) x common factors =1 x 1 = 1
LCM(704,7305) = ( 704 × 7305 ) / 1
LCM(704,7305) = 5142720 / 1
LCM(704,7305) = 5142720
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FAQs on GCF of Fractions of 5033/704, 6732/7305
1. What is the HCF of 5033,6732?
The HCF of 5033,6732 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 5033/704, 6732/7305?
Answer: GCF of Numerators as per given numbers 5033/704, 6732/7305 is
GCF of Numerators i.e. for 5033,6732 is 1
LCM of denominators i.e. for 704,7305 is 5142720.
Thus, GCF of Fractions is 1/5142720.Finally, GCF of Fractions for 5033/704, 6732/7305 is 1/5142720.