GCF of 5232/347, 8052/2114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5232/347, 8052/2114 i.e 12/733558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5232/347, 8052/2114.
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 5232/347,8052/2114?
Given fractions are 5232/347,8052/2114
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 5232/347,8052/2114, numerators are 5232,8052
Denominators are 347,2114
The GCF of 5232,8052 is 12 .
LCM of 347,2114 is 733558.
The greatest common factor of 5232/347,8052/2114 = [GCF of 5232,8052]/[LCM of 347,2114]= 12/733558
Therefore, the GCF of 5232/347,8052/2114 is 12/733558.
To find the highest common factor of 5232,8052, we have to find the factors of both numbers and list the highest common factor.
The factors of 5232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 5232
The factors of 8052 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052
The HCF of 5232,8052 is 12.
Lets's calculate GCF of 5232,8052
| 2 | 5232, 8052 |
| 2 | 2616, 4026 |
| 3 | 1308, 2013 |
| 436, 671 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5232,8052 By Matching Biggest Common Factor Method
Now, list down the factors of 5232
:1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232
Now, list down the factors of 8052
:1,2,3,4,6,11,12,22,33,44,61,66,122,132,183,244,366,671,732,1342,2013,2684,4026,8052
Greatest Common Factor
We found the factors 5232,8052 . The biggest common factor number is the GCF number.
So the greatest common factor 5232,8052 is 12.
Lets's calculate LCM of 347,2114
Given numbers has no common factors except 1. So, there LCM is their product i.e 733558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/733558
Therefore, the GCF of Fractions 5232/347,8052/2114 is 12/733558
Least Common Multiple of 347,2114 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 347,2114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,2114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,2114) x common factors =1 x 1 = 1
LCM(347,2114) = ( 347 × 2114 ) / 1
LCM(347,2114) = 733558 / 1
LCM(347,2114) = 733558
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5232/347, 8052/2114
1. What is the HCF of 5232,8052?
The HCF of 5232,8052 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 5232/347, 8052/2114?
Answer: GCF of Numerators as per given numbers 5232/347, 8052/2114 is
GCF of Numerators i.e. for 5232,8052 is 12
LCM of denominators i.e. for 347,2114 is 733558.
Thus, GCF of Fractions is 12/733558.Finally, GCF of Fractions for 5232/347, 8052/2114 is 12/733558.