GCF of 5553/643, 1509/1461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5553/643, 1509/1461 i.e 3/939423 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5553/643, 1509/1461.
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 5553/643,1509/1461?
Given fractions are 5553/643,1509/1461
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 5553/643,1509/1461, numerators are 5553,1509
Denominators are 643,1461
The GCF of 5553,1509 is 3 .
LCM of 643,1461 is 939423.
The greatest common factor of 5553/643,1509/1461 = [GCF of 5553,1509]/[LCM of 643,1461]= 3/939423
Therefore, the GCF of 5553/643,1509/1461 is 3/939423.
To find the highest common factor of 5553,1509, we have to find the factors of both numbers and list the highest common factor.
The factors of 5553 are 1, 3, 9, 617, 1851, 5553
The factors of 1509 are 1, 3, 503, 1509
The HCF of 5553,1509 is 3.
Lets's calculate GCF of 5553,1509
| 3 | 5553, 1509 |
| 1851, 503 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5553,1509 By Matching Biggest Common Factor Method
Now, list down the factors of 5553
:1,3,9,617,1851,5553
Now, list down the factors of 1509
:1,3,503,1509
Greatest Common Factor
We found the factors 5553,1509 . The biggest common factor number is the GCF number.
So the greatest common factor 5553,1509 is 3.
Lets's calculate LCM of 643,1461
Given numbers has no common factors except 1. So, there LCM is their product i.e 939423
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/939423
Therefore, the GCF of Fractions 5553/643,1509/1461 is 3/939423
Least Common Multiple of 643,1461 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 643,1461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,1461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,1461) x common factors =1 x 1 = 1
LCM(643,1461) = ( 643 × 1461 ) / 1
LCM(643,1461) = 939423 / 1
LCM(643,1461) = 939423
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FAQs on GCF of Fractions of 5553/643, 1509/1461
1. What is the HCF of 5553,1509?
The HCF of 5553,1509 is 3
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 5553/643, 1509/1461?
Answer: GCF of Numerators as per given numbers 5553/643, 1509/1461 is
GCF of Numerators i.e. for 5553,1509 is 3
LCM of denominators i.e. for 643,1461 is 939423.
Thus, GCF of Fractions is 3/939423.Finally, GCF of Fractions for 5553/643, 1509/1461 is 3/939423.