GCF of 7206/149, 1596/8215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7206/149, 1596/8215 i.e 6/1224035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7206/149, 1596/8215.
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 7206/149,1596/8215?
Given fractions are 7206/149,1596/8215
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 7206/149,1596/8215, numerators are 7206,1596
Denominators are 149,8215
The GCF of 7206,1596 is 6 .
LCM of 149,8215 is 1224035.
The greatest common factor of 7206/149,1596/8215 = [GCF of 7206,1596]/[LCM of 149,8215]= 6/1224035
Therefore, the GCF of 7206/149,1596/8215 is 6/1224035.
To find the highest common factor of 7206,1596, we have to find the factors of both numbers and list the highest common factor.
The factors of 7206 are 1, 2, 3, 6, 1201, 2402, 3603, 7206
The factors of 1596 are 1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 76, 84, 114, 133, 228, 266, 399, 532, 798, 1596
The HCF of 7206,1596 is 6.
Lets's calculate GCF of 7206,1596
| 2 | 7206, 1596 |
| 3 | 3603, 798 |
| 1201, 266 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7206,1596 By Matching Biggest Common Factor Method
Now, list down the factors of 7206
:1,2,3,6,1201,2402,3603,7206
Now, list down the factors of 1596
:1,2,3,4,6,7,12,14,19,21,28,38,42,57,76,84,114,133,228,266,399,532,798,1596
Greatest Common Factor
We found the factors 7206,1596 . The biggest common factor number is the GCF number.
So the greatest common factor 7206,1596 is 6.
Lets's calculate LCM of 149,8215
Given numbers has no common factors except 1. So, there LCM is their product i.e 1224035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1224035
Therefore, the GCF of Fractions 7206/149,1596/8215 is 6/1224035
Least Common Multiple of 149,8215 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 149,8215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,8215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,8215) x common factors =1 x 1 = 1
LCM(149,8215) = ( 149 × 8215 ) / 1
LCM(149,8215) = 1224035 / 1
LCM(149,8215) = 1224035
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FAQs on GCF of Fractions of 7206/149, 1596/8215
1. What is the HCF of 7206,1596?
The HCF of 7206,1596 is 6
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 7206/149, 1596/8215?
Answer: GCF of Numerators as per given numbers 7206/149, 1596/8215 is
GCF of Numerators i.e. for 7206,1596 is 6
LCM of denominators i.e. for 149,8215 is 1224035.
Thus, GCF of Fractions is 6/1224035.Finally, GCF of Fractions for 7206/149, 1596/8215 is 6/1224035.