GCF of 668/185, 412/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 668/185, 412/289 i.e 4/53465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 668/185, 412/289.
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 668/185,412/289?
Given fractions are 668/185,412/289
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 668/185,412/289, numerators are 668,412
Denominators are 185,289
The GCF of 668,412 is 4 .
LCM of 185,289 is 53465.
The greatest common factor of 668/185,412/289 = [GCF of 668,412]/[LCM of 185,289]= 4/53465
Therefore, the GCF of 668/185,412/289 is 4/53465.
To find the highest common factor of 668,412, we have to find the factors of both numbers and list the highest common factor.
The factors of 668 are 1, 2, 4, 167, 334, 668
The factors of 412 are 1, 2, 4, 103, 206, 412
The HCF of 668,412 is 4.
Lets's calculate GCF of 668,412
| 2 | 668, 412 |
| 2 | 334, 206 |
| 167, 103 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 668,412 By Matching Biggest Common Factor Method
Now, list down the factors of 668
:1,2,4,167,334,668
Now, list down the factors of 412
:1,2,4,103,206,412
Greatest Common Factor
We found the factors 668,412 . The biggest common factor number is the GCF number.
So the greatest common factor 668,412 is 4.
Lets's calculate LCM of 185,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 53465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/53465
Therefore, the GCF of Fractions 668/185,412/289 is 4/53465
Least Common Multiple of 185,289 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 185,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,289) x common factors =1 x 1 = 1
LCM(185,289) = ( 185 × 289 ) / 1
LCM(185,289) = 53465 / 1
LCM(185,289) = 53465
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FAQs on GCF of Fractions of 668/185, 412/289
1. What is the HCF of 668,412?
The HCF of 668,412 is 4
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 668/185, 412/289?
Answer: GCF of Numerators as per given numbers 668/185, 412/289 is
GCF of Numerators i.e. for 668,412 is 4
LCM of denominators i.e. for 185,289 is 53465.
Thus, GCF of Fractions is 4/53465.Finally, GCF of Fractions for 668/185, 412/289 is 4/53465.