GCF of 7574/567, 7441/5583
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7574/567, 7441/5583 i.e 7/1055187 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7574/567, 7441/5583.
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 7574/567,7441/5583?
Given fractions are 7574/567,7441/5583
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 7574/567,7441/5583, numerators are 7574,7441
Denominators are 567,5583
The GCF of 7574,7441 is 7 .
LCM of 567,5583 is 1055187.
The greatest common factor of 7574/567,7441/5583 = [GCF of 7574,7441]/[LCM of 567,5583]= 7/1055187
Therefore, the GCF of 7574/567,7441/5583 is 7/1055187.
To find the highest common factor of 7574,7441, we have to find the factors of both numbers and list the highest common factor.
The factors of 7574 are 1, 2, 7, 14, 541, 1082, 3787, 7574
The factors of 7441 are 1, 7, 1063, 7441
The HCF of 7574,7441 is 7.
Lets's calculate GCF of 7574,7441
| 7 | 7574, 7441 |
| 1082, 1063 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7574,7441 By Matching Biggest Common Factor Method
Now, list down the factors of 7574
:1,2,7,14,541,1082,3787,7574
Now, list down the factors of 7441
:1,7,1063,7441
Greatest Common Factor
We found the factors 7574,7441 . The biggest common factor number is the GCF number.
So the greatest common factor 7574,7441 is 7.
Lets's calculate LCM of 567,5583
| 3 | 567, 5583 |
| 189, 1861 |
∴ So the LCM of the given numbers is 3 x 189 x 1861 = 1055187
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1055187
Therefore, the GCF of Fractions 7574/567,7441/5583 is 7/1055187
Least Common Multiple of 567,5583 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 567,5583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,5583) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(567,5583) x common factors =3 x 1 = 3
LCM(567,5583) = ( 567 × 5583 ) / 3
LCM(567,5583) = 3165561 / 3
LCM(567,5583) = 1055187
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FAQs on GCF of Fractions of 7574/567, 7441/5583
1. What is the HCF of 7574,7441?
The HCF of 7574,7441 is 7
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 7574/567, 7441/5583?
Answer: GCF of Numerators as per given numbers 7574/567, 7441/5583 is
GCF of Numerators i.e. for 7574,7441 is 7
LCM of denominators i.e. for 567,5583 is 1055187.
Thus, GCF of Fractions is 7/1055187.Finally, GCF of Fractions for 7574/567, 7441/5583 is 7/1055187.