GCF of 4524/111, 7356/5992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4524/111, 7356/5992 i.e 12/665112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4524/111, 7356/5992.
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 4524/111,7356/5992?
Given fractions are 4524/111,7356/5992
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 4524/111,7356/5992, numerators are 4524,7356
Denominators are 111,5992
The GCF of 4524,7356 is 12 .
LCM of 111,5992 is 665112.
The greatest common factor of 4524/111,7356/5992 = [GCF of 4524,7356]/[LCM of 111,5992]= 12/665112
Therefore, the GCF of 4524/111,7356/5992 is 12/665112.
To find the highest common factor of 4524,7356, 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 7356 are 1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678, 7356
The HCF of 4524,7356 is 12.
Lets's calculate GCF of 4524,7356
| 2 | 4524, 7356 |
| 2 | 2262, 3678 |
| 3 | 1131, 1839 |
| 377, 613 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4524,7356 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 7356
:1,2,3,4,6,12,613,1226,1839,2452,3678,7356
Greatest Common Factor
We found the factors 4524,7356 . The biggest common factor number is the GCF number.
So the greatest common factor 4524,7356 is 12.
Lets's calculate LCM of 111,5992
Given numbers has no common factors except 1. So, there LCM is their product i.e 665112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/665112
Therefore, the GCF of Fractions 4524/111,7356/5992 is 12/665112
Least Common Multiple of 111,5992 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 111,5992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,5992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,5992) x common factors =1 x 1 = 1
LCM(111,5992) = ( 111 × 5992 ) / 1
LCM(111,5992) = 665112 / 1
LCM(111,5992) = 665112
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FAQs on GCF of Fractions of 4524/111, 7356/5992
1. What is the HCF of 4524,7356?
The HCF of 4524,7356 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 4524/111, 7356/5992?
Answer: GCF of Numerators as per given numbers 4524/111, 7356/5992 is
GCF of Numerators i.e. for 4524,7356 is 12
LCM of denominators i.e. for 111,5992 is 665112.
Thus, GCF of Fractions is 12/665112.Finally, GCF of Fractions for 4524/111, 7356/5992 is 12/665112.