GCF of 7152/604, 5220/4372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7152/604, 5220/4372 i.e 12/660172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7152/604, 5220/4372.
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 7152/604,5220/4372?
Given fractions are 7152/604,5220/4372
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 7152/604,5220/4372, numerators are 7152,5220
Denominators are 604,4372
The GCF of 7152,5220 is 12 .
LCM of 604,4372 is 660172.
The greatest common factor of 7152/604,5220/4372 = [GCF of 7152,5220]/[LCM of 604,4372]= 12/660172
Therefore, the GCF of 7152/604,5220/4372 is 12/660172.
To find the highest common factor of 7152,5220, we have to find the factors of both numbers and list the highest common factor.
The factors of 7152 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 149, 298, 447, 596, 894, 1192, 1788, 2384, 3576, 7152
The factors of 5220 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 29, 30, 36, 45, 58, 60, 87, 90, 116, 145, 174, 180, 261, 290, 348, 435, 522, 580, 870, 1044, 1305, 1740, 2610, 5220
The HCF of 7152,5220 is 12.
Lets's calculate GCF of 7152,5220
| 2 | 7152, 5220 |
| 2 | 3576, 2610 |
| 3 | 1788, 1305 |
| 596, 435 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7152,5220 By Matching Biggest Common Factor Method
Now, list down the factors of 7152
:1,2,3,4,6,8,12,16,24,48,149,298,447,596,894,1192,1788,2384,3576,7152
Now, list down the factors of 5220
:1,2,3,4,5,6,9,10,12,15,18,20,29,30,36,45,58,60,87,90,116,145,174,180,261,290,348,435,522,580,870,1044,1305,1740,2610,5220
Greatest Common Factor
We found the factors 7152,5220 . The biggest common factor number is the GCF number.
So the greatest common factor 7152,5220 is 12.
Lets's calculate LCM of 604,4372
| 2 | 604, 4372 |
| 2 | 302, 2186 |
| 151, 1093 |
∴ So the LCM of the given numbers is 2 x 2 x 151 x 1093 = 660172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/660172
Therefore, the GCF of Fractions 7152/604,5220/4372 is 12/660172
Least Common Multiple of 604,4372 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 604,4372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,4372) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(604,4372) x common factors =4 x 1 = 4
LCM(604,4372) = ( 604 × 4372 ) / 4
LCM(604,4372) = 2640688 / 4
LCM(604,4372) = 660172
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FAQs on GCF of Fractions of 7152/604, 5220/4372
1. What is the HCF of 7152,5220?
The HCF of 7152,5220 is 12
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 7152/604, 5220/4372?
Answer: GCF of Numerators as per given numbers 7152/604, 5220/4372 is
GCF of Numerators i.e. for 7152,5220 is 12
LCM of denominators i.e. for 604,4372 is 660172.
Thus, GCF of Fractions is 12/660172.Finally, GCF of Fractions for 7152/604, 5220/4372 is 12/660172.