GCF of 8196/320, 5962/2356
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8196/320, 5962/2356 i.e 2/188480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8196/320, 5962/2356.
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 8196/320,5962/2356?
Given fractions are 8196/320,5962/2356
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 8196/320,5962/2356, numerators are 8196,5962
Denominators are 320,2356
The GCF of 8196,5962 is 2 .
LCM of 320,2356 is 188480.
The greatest common factor of 8196/320,5962/2356 = [GCF of 8196,5962]/[LCM of 320,2356]= 2/188480
Therefore, the GCF of 8196/320,5962/2356 is 2/188480.
To find the highest common factor of 8196,5962, 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 5962 are 1, 2, 11, 22, 271, 542, 2981, 5962
The HCF of 8196,5962 is 2.
Lets's calculate GCF of 8196,5962
| 2 | 8196, 5962 |
| 4098, 2981 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8196,5962 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 5962
:1,2,11,22,271,542,2981,5962
Greatest Common Factor
We found the factors 8196,5962 . The biggest common factor number is the GCF number.
So the greatest common factor 8196,5962 is 2.
Lets's calculate LCM of 320,2356
| 2 | 320, 2356 |
| 2 | 160, 1178 |
| 80, 589 |
∴ So the LCM of the given numbers is 2 x 2 x 80 x 589 = 188480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/188480
Therefore, the GCF of Fractions 8196/320,5962/2356 is 2/188480
Least Common Multiple of 320,2356 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 320,2356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,2356) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(320,2356) x common factors =4 x 1 = 4
LCM(320,2356) = ( 320 × 2356 ) / 4
LCM(320,2356) = 753920 / 4
LCM(320,2356) = 188480
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FAQs on GCF of Fractions of 8196/320, 5962/2356
1. What is the HCF of 8196,5962?
The HCF of 8196,5962 is 2
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 8196/320, 5962/2356?
Answer: GCF of Numerators as per given numbers 8196/320, 5962/2356 is
GCF of Numerators i.e. for 8196,5962 is 2
LCM of denominators i.e. for 320,2356 is 188480.
Thus, GCF of Fractions is 2/188480.Finally, GCF of Fractions for 8196/320, 5962/2356 is 2/188480.