GCF of 4524/179, 8712/2197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4524/179, 8712/2197 i.e 12/393263 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4524/179, 8712/2197.
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 4524/179,8712/2197?
Given fractions are 4524/179,8712/2197
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 4524/179,8712/2197, numerators are 4524,8712
Denominators are 179,2197
The GCF of 4524,8712 is 12 .
LCM of 179,2197 is 393263.
The greatest common factor of 4524/179,8712/2197 = [GCF of 4524,8712]/[LCM of 179,2197]= 12/393263
Therefore, the GCF of 4524/179,8712/2197 is 12/393263.
To find the highest common factor of 4524,8712, we have to find the factors of both numbers and list the highest common factor.
The factors of 4524 are 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262, 4524
The factors of 8712 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356, 8712
The HCF of 4524,8712 is 12.
Lets's calculate GCF of 4524,8712
| 2 | 4524, 8712 |
| 2 | 2262, 4356 |
| 3 | 1131, 2178 |
| 377, 726 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4524,8712 By Matching Biggest Common Factor Method
Now, list down the factors of 4524
:1,2,3,4,6,12,13,26,29,39,52,58,78,87,116,156,174,348,377,754,1131,1508,2262,4524
Now, list down the factors of 8712
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,121,132,198,242,264,363,396,484,726,792,968,1089,1452,2178,2904,4356,8712
Greatest Common Factor
We found the factors 4524,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 4524,8712 is 12.
Lets's calculate LCM of 179,2197
Given numbers has no common factors except 1. So, there LCM is their product i.e 393263
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/393263
Therefore, the GCF of Fractions 4524/179,8712/2197 is 12/393263
Least Common Multiple of 179,2197 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 179,2197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,2197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,2197) x common factors =1 x 1 = 1
LCM(179,2197) = ( 179 × 2197 ) / 1
LCM(179,2197) = 393263 / 1
LCM(179,2197) = 393263
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4524/179, 8712/2197
1. What is the HCF of 4524,8712?
The HCF of 4524,8712 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 4524/179, 8712/2197?
Answer: GCF of Numerators as per given numbers 4524/179, 8712/2197 is
GCF of Numerators i.e. for 4524,8712 is 12
LCM of denominators i.e. for 179,2197 is 393263.
Thus, GCF of Fractions is 12/393263.Finally, GCF of Fractions for 4524/179, 8712/2197 is 12/393263.