GCF of 3668/292, 8204/457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3668/292, 8204/457 i.e 28/133444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3668/292, 8204/457.
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 3668/292,8204/457?
Given fractions are 3668/292,8204/457
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 3668/292,8204/457, numerators are 3668,8204
Denominators are 292,457
The GCF of 3668,8204 is 28 .
LCM of 292,457 is 133444.
The greatest common factor of 3668/292,8204/457 = [GCF of 3668,8204]/[LCM of 292,457]= 28/133444
Therefore, the GCF of 3668/292,8204/457 is 28/133444.
To find the highest common factor of 3668,8204, we have to find the factors of both numbers and list the highest common factor.
The factors of 3668 are 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668
The factors of 8204 are 1, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102, 8204
The HCF of 3668,8204 is 28.
Lets's calculate GCF of 3668,8204
| 2 | 3668, 8204 |
| 2 | 1834, 4102 |
| 7 | 917, 2051 |
| 131, 293 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 3668,8204 By Matching Biggest Common Factor Method
Now, list down the factors of 3668
:1,2,4,7,14,28,131,262,524,917,1834,3668
Now, list down the factors of 8204
:1,2,4,7,14,28,293,586,1172,2051,4102,8204
Greatest Common Factor
We found the factors 3668,8204 . The biggest common factor number is the GCF number.
So the greatest common factor 3668,8204 is 28.
Lets's calculate LCM of 292,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 133444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/133444
Therefore, the GCF of Fractions 3668/292,8204/457 is 28/133444
Least Common Multiple of 292,457 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 292,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,457) x common factors =1 x 1 = 1
LCM(292,457) = ( 292 × 457 ) / 1
LCM(292,457) = 133444 / 1
LCM(292,457) = 133444
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FAQs on GCF of Fractions of 3668/292, 8204/457
1. What is the HCF of 3668,8204?
The HCF of 3668,8204 is 28
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 3668/292, 8204/457?
Answer: GCF of Numerators as per given numbers 3668/292, 8204/457 is
GCF of Numerators i.e. for 3668,8204 is 28
LCM of denominators i.e. for 292,457 is 133444.
Thus, GCF of Fractions is 28/133444.Finally, GCF of Fractions for 3668/292, 8204/457 is 28/133444.