GCF of 753/21, 561/544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 753/21, 561/544 i.e 3/11424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 753/21, 561/544.
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 753/21,561/544?
Given fractions are 753/21,561/544
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 753/21,561/544, numerators are 753,561
Denominators are 21,544
The GCF of 753,561 is 3 .
LCM of 21,544 is 11424.
The greatest common factor of 753/21,561/544 = [GCF of 753,561]/[LCM of 21,544]= 3/11424
Therefore, the GCF of 753/21,561/544 is 3/11424.
To find the highest common factor of 753,561, we have to find the factors of both numbers and list the highest common factor.
The factors of 753 are 1, 3, 251, 753
The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561
The HCF of 753,561 is 3.
Lets's calculate GCF of 753,561
| 3 | 753, 561 |
| 251, 187 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 753,561 By Matching Biggest Common Factor Method
Now, list down the factors of 753
:1,3,251,753
Now, list down the factors of 561
:1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 753,561 . The biggest common factor number is the GCF number.
So the greatest common factor 753,561 is 3.
Lets's calculate LCM of 21,544
Given numbers has no common factors except 1. So, there LCM is their product i.e 11424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11424
Therefore, the GCF of Fractions 753/21,561/544 is 3/11424
Least Common Multiple of 21,544 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 21,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,544) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,544) x common factors =1 x 1 = 1
LCM(21,544) = ( 21 × 544 ) / 1
LCM(21,544) = 11424 / 1
LCM(21,544) = 11424
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FAQs on GCF of Fractions of 753/21, 561/544
1. What is the HCF of 753,561?
The HCF of 753,561 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 753/21, 561/544?
Answer: GCF of Numerators as per given numbers 753/21, 561/544 is
GCF of Numerators i.e. for 753,561 is 3
LCM of denominators i.e. for 21,544 is 11424.
Thus, GCF of Fractions is 3/11424.Finally, GCF of Fractions for 753/21, 561/544 is 3/11424.