GCF of 7449/567, 7564/2205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7449/567, 7564/2205 i.e 1/19845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7449/567, 7564/2205.
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 7449/567,7564/2205?
Given fractions are 7449/567,7564/2205
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 7449/567,7564/2205, numerators are 7449,7564
Denominators are 567,2205
The GCF of 7449,7564 is 1 .
LCM of 567,2205 is 19845.
The greatest common factor of 7449/567,7564/2205 = [GCF of 7449,7564]/[LCM of 567,2205]= 1/19845
Therefore, the GCF of 7449/567,7564/2205 is 1/19845.
To find the highest common factor of 7449,7564, we have to find the factors of both numbers and list the highest common factor.
The factors of 7449 are 1, 3, 13, 39, 191, 573, 2483, 7449
The factors of 7564 are 1, 2, 4, 31, 61, 62, 122, 124, 244, 1891, 3782, 7564
The HCF of 7449,7564 is 1.
Lets's calculate GCF of 7449,7564
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7449,7564 By Matching Biggest Common Factor Method
Now, list down the factors of 7449
:1,3,13,39,191,573,2483,7449
Now, list down the factors of 7564
:1,2,4,31,61,62,122,124,244,1891,3782,7564
Greatest Common Factor
We found the factors 7449,7564 . The biggest common factor number is the GCF number.
So the greatest common factor 7449,7564 is 1.
Lets's calculate LCM of 567,2205
| 3 | 567, 2205 |
| 3 | 189, 735 |
| 7 | 63, 245 |
| 9, 35 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 9 x 35 = 19845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19845
Therefore, the GCF of Fractions 7449/567,7564/2205 is 1/19845
Least Common Multiple of 567,2205 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 567,2205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,2205) = 63
common factors(in case of two or more numbers have common factors) = 1
GCF(567,2205) x common factors =63 x 1 = 63
LCM(567,2205) = ( 567 × 2205 ) / 63
LCM(567,2205) = 1250235 / 63
LCM(567,2205) = 19845
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FAQs on GCF of Fractions of 7449/567, 7564/2205
1. What is the HCF of 7449,7564?
The HCF of 7449,7564 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 7449/567, 7564/2205?
Answer: GCF of Numerators as per given numbers 7449/567, 7564/2205 is
GCF of Numerators i.e. for 7449,7564 is 1
LCM of denominators i.e. for 567,2205 is 19845.
Thus, GCF of Fractions is 1/19845.Finally, GCF of Fractions for 7449/567, 7564/2205 is 1/19845.