GCF of 8196/475, 1032/6937
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8196/475, 1032/6937 i.e 12/3295075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8196/475, 1032/6937.
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 8196/475,1032/6937?
Given fractions are 8196/475,1032/6937
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 8196/475,1032/6937, numerators are 8196,1032
Denominators are 475,6937
The GCF of 8196,1032 is 12 .
LCM of 475,6937 is 3295075.
The greatest common factor of 8196/475,1032/6937 = [GCF of 8196,1032]/[LCM of 475,6937]= 12/3295075
Therefore, the GCF of 8196/475,1032/6937 is 12/3295075.
To find the highest common factor of 8196,1032, we have to find the factors of both numbers and list the highest common factor.
The factors of 8196 are 1, 2, 3, 4, 6, 12, 683, 1366, 2049, 2732, 4098, 8196
The factors of 1032 are 1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032
The HCF of 8196,1032 is 12.
Lets's calculate GCF of 8196,1032
| 2 | 8196, 1032 |
| 2 | 4098, 516 |
| 3 | 2049, 258 |
| 683, 86 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8196,1032 By Matching Biggest Common Factor Method
Now, list down the factors of 8196
:1,2,3,4,6,12,683,1366,2049,2732,4098,8196
Now, list down the factors of 1032
:1,2,3,4,6,8,12,24,43,86,129,172,258,344,516,1032
Greatest Common Factor
We found the factors 8196,1032 . The biggest common factor number is the GCF number.
So the greatest common factor 8196,1032 is 12.
Lets's calculate LCM of 475,6937
Given numbers has no common factors except 1. So, there LCM is their product i.e 3295075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3295075
Therefore, the GCF of Fractions 8196/475,1032/6937 is 12/3295075
Least Common Multiple of 475,6937 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 475,6937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,6937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,6937) x common factors =1 x 1 = 1
LCM(475,6937) = ( 475 × 6937 ) / 1
LCM(475,6937) = 3295075 / 1
LCM(475,6937) = 3295075
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FAQs on GCF of Fractions of 8196/475, 1032/6937
1. What is the HCF of 8196,1032?
The HCF of 8196,1032 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 8196/475, 1032/6937?
Answer: GCF of Numerators as per given numbers 8196/475, 1032/6937 is
GCF of Numerators i.e. for 8196,1032 is 12
LCM of denominators i.e. for 475,6937 is 3295075.
Thus, GCF of Fractions is 12/3295075.Finally, GCF of Fractions for 8196/475, 1032/6937 is 12/3295075.