GCF of 9533/573, 1446/5506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9533/573, 1446/5506 i.e 1/3154938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9533/573, 1446/5506.
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 9533/573,1446/5506?
Given fractions are 9533/573,1446/5506
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 9533/573,1446/5506, numerators are 9533,1446
Denominators are 573,5506
The GCF of 9533,1446 is 1 .
LCM of 573,5506 is 3154938.
The greatest common factor of 9533/573,1446/5506 = [GCF of 9533,1446]/[LCM of 573,5506]= 1/3154938
Therefore, the GCF of 9533/573,1446/5506 is 1/3154938.
To find the highest common factor of 9533,1446, we have to find the factors of both numbers and list the highest common factor.
The factors of 9533 are 1, 9533
The factors of 1446 are 1, 2, 3, 6, 241, 482, 723, 1446
The HCF of 9533,1446 is 1.
Lets's calculate GCF of 9533,1446
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9533,1446 By Matching Biggest Common Factor Method
Now, list down the factors of 9533
:1,9533
Now, list down the factors of 1446
:1,2,3,6,241,482,723,1446
Greatest Common Factor
We found the factors 9533,1446 . The biggest common factor number is the GCF number.
So the greatest common factor 9533,1446 is 1.
Lets's calculate LCM of 573,5506
Given numbers has no common factors except 1. So, there LCM is their product i.e 3154938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3154938
Therefore, the GCF of Fractions 9533/573,1446/5506 is 1/3154938
Least Common Multiple of 573,5506 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 573,5506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(573,5506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(573,5506) x common factors =1 x 1 = 1
LCM(573,5506) = ( 573 × 5506 ) / 1
LCM(573,5506) = 3154938 / 1
LCM(573,5506) = 3154938
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FAQs on GCF of Fractions of 9533/573, 1446/5506
1. What is the HCF of 9533,1446?
The HCF of 9533,1446 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 9533/573, 1446/5506?
Answer: GCF of Numerators as per given numbers 9533/573, 1446/5506 is
GCF of Numerators i.e. for 9533,1446 is 1
LCM of denominators i.e. for 573,5506 is 3154938.
Thus, GCF of Fractions is 1/3154938.Finally, GCF of Fractions for 9533/573, 1446/5506 is 1/3154938.