GCF of 4974/155, 7569/352
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4974/155, 7569/352 i.e 3/54560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4974/155, 7569/352.
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 4974/155,7569/352?
Given fractions are 4974/155,7569/352
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 4974/155,7569/352, numerators are 4974,7569
Denominators are 155,352
The GCF of 4974,7569 is 3 .
LCM of 155,352 is 54560.
The greatest common factor of 4974/155,7569/352 = [GCF of 4974,7569]/[LCM of 155,352]= 3/54560
Therefore, the GCF of 4974/155,7569/352 is 3/54560.
To find the highest common factor of 4974,7569, we have to find the factors of both numbers and list the highest common factor.
The factors of 4974 are 1, 2, 3, 6, 829, 1658, 2487, 4974
The factors of 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569
The HCF of 4974,7569 is 3.
Lets's calculate GCF of 4974,7569
| 3 | 4974, 7569 |
| 1658, 2523 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4974,7569 By Matching Biggest Common Factor Method
Now, list down the factors of 4974
:1,2,3,6,829,1658,2487,4974
Now, list down the factors of 7569
:1,3,9,29,87,261,841,2523,7569
Greatest Common Factor
We found the factors 4974,7569 . The biggest common factor number is the GCF number.
So the greatest common factor 4974,7569 is 3.
Lets's calculate LCM of 155,352
Given numbers has no common factors except 1. So, there LCM is their product i.e 54560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/54560
Therefore, the GCF of Fractions 4974/155,7569/352 is 3/54560
Least Common Multiple of 155,352 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 155,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,352) x common factors =1 x 1 = 1
LCM(155,352) = ( 155 × 352 ) / 1
LCM(155,352) = 54560 / 1
LCM(155,352) = 54560
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FAQs on GCF of Fractions of 4974/155, 7569/352
1. What is the HCF of 4974,7569?
The HCF of 4974,7569 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 4974/155, 7569/352?
Answer: GCF of Numerators as per given numbers 4974/155, 7569/352 is
GCF of Numerators i.e. for 4974,7569 is 3
LCM of denominators i.e. for 155,352 is 54560.
Thus, GCF of Fractions is 3/54560.Finally, GCF of Fractions for 4974/155, 7569/352 is 3/54560.