GCF of 7304/212, 4184/4209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7304/212, 4184/4209 i.e 8/892308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7304/212, 4184/4209.
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 7304/212,4184/4209?
Given fractions are 7304/212,4184/4209
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 7304/212,4184/4209, numerators are 7304,4184
Denominators are 212,4209
The GCF of 7304,4184 is 8 .
LCM of 212,4209 is 892308.
The greatest common factor of 7304/212,4184/4209 = [GCF of 7304,4184]/[LCM of 212,4209]= 8/892308
Therefore, the GCF of 7304/212,4184/4209 is 8/892308.
To find the highest common factor of 7304,4184, we have to find the factors of both numbers and list the highest common factor.
The factors of 7304 are 1, 2, 4, 8, 11, 22, 44, 83, 88, 166, 332, 664, 913, 1826, 3652, 7304
The factors of 4184 are 1, 2, 4, 8, 523, 1046, 2092, 4184
The HCF of 7304,4184 is 8.
Lets's calculate GCF of 7304,4184
| 2 | 7304, 4184 |
| 2 | 3652, 2092 |
| 2 | 1826, 1046 |
| 913, 523 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7304,4184 By Matching Biggest Common Factor Method
Now, list down the factors of 7304
:1,2,4,8,11,22,44,83,88,166,332,664,913,1826,3652,7304
Now, list down the factors of 4184
:1,2,4,8,523,1046,2092,4184
Greatest Common Factor
We found the factors 7304,4184 . The biggest common factor number is the GCF number.
So the greatest common factor 7304,4184 is 8.
Lets's calculate LCM of 212,4209
Given numbers has no common factors except 1. So, there LCM is their product i.e 892308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/892308
Therefore, the GCF of Fractions 7304/212,4184/4209 is 8/892308
Least Common Multiple of 212,4209 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 212,4209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,4209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,4209) x common factors =1 x 1 = 1
LCM(212,4209) = ( 212 × 4209 ) / 1
LCM(212,4209) = 892308 / 1
LCM(212,4209) = 892308
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FAQs on GCF of Fractions of 7304/212, 4184/4209
1. What is the HCF of 7304,4184?
The HCF of 7304,4184 is 8
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 7304/212, 4184/4209?
Answer: GCF of Numerators as per given numbers 7304/212, 4184/4209 is
GCF of Numerators i.e. for 7304,4184 is 8
LCM of denominators i.e. for 212,4209 is 892308.
Thus, GCF of Fractions is 8/892308.Finally, GCF of Fractions for 7304/212, 4184/4209 is 8/892308.