GCF of 2558/567, 7356/4404
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2558/567, 7356/4404 i.e 2/832356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2558/567, 7356/4404.
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 2558/567,7356/4404?
Given fractions are 2558/567,7356/4404
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 2558/567,7356/4404, numerators are 2558,7356
Denominators are 567,4404
The GCF of 2558,7356 is 2 .
LCM of 567,4404 is 832356.
The greatest common factor of 2558/567,7356/4404 = [GCF of 2558,7356]/[LCM of 567,4404]= 2/832356
Therefore, the GCF of 2558/567,7356/4404 is 2/832356.
To find the highest common factor of 2558,7356, we have to find the factors of both numbers and list the highest common factor.
The factors of 2558 are 1, 2, 1279, 2558
The factors of 7356 are 1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678, 7356
The HCF of 2558,7356 is 2.
Lets's calculate GCF of 2558,7356
| 2 | 2558, 7356 |
| 1279, 3678 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2558,7356 By Matching Biggest Common Factor Method
Now, list down the factors of 2558
:1,2,1279,2558
Now, list down the factors of 7356
:1,2,3,4,6,12,613,1226,1839,2452,3678,7356
Greatest Common Factor
We found the factors 2558,7356 . The biggest common factor number is the GCF number.
So the greatest common factor 2558,7356 is 2.
Lets's calculate LCM of 567,4404
| 3 | 567, 4404 |
| 189, 1468 |
∴ So the LCM of the given numbers is 3 x 189 x 1468 = 832356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/832356
Therefore, the GCF of Fractions 2558/567,7356/4404 is 2/832356
Least Common Multiple of 567,4404 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 567,4404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,4404) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(567,4404) x common factors =3 x 1 = 3
LCM(567,4404) = ( 567 × 4404 ) / 3
LCM(567,4404) = 2497068 / 3
LCM(567,4404) = 832356
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FAQs on GCF of Fractions of 2558/567, 7356/4404
1. What is the HCF of 2558,7356?
The HCF of 2558,7356 is 2
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 2558/567, 7356/4404?
Answer: GCF of Numerators as per given numbers 2558/567, 7356/4404 is
GCF of Numerators i.e. for 2558,7356 is 2
LCM of denominators i.e. for 567,4404 is 832356.
Thus, GCF of Fractions is 2/832356.Finally, GCF of Fractions for 2558/567, 7356/4404 is 2/832356.