GCF of 1804/879, 3184/487
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1804/879, 3184/487 i.e 4/428073 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1804/879, 3184/487.
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 1804/879,3184/487?
Given fractions are 1804/879,3184/487
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 1804/879,3184/487, numerators are 1804,3184
Denominators are 879,487
The GCF of 1804,3184 is 4 .
LCM of 879,487 is 428073.
The greatest common factor of 1804/879,3184/487 = [GCF of 1804,3184]/[LCM of 879,487]= 4/428073
Therefore, the GCF of 1804/879,3184/487 is 4/428073.
To find the highest common factor of 1804,3184, we have to find the factors of both numbers and list the highest common factor.
The factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804
The factors of 3184 are 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184
The HCF of 1804,3184 is 4.
Lets's calculate GCF of 1804,3184
| 2 | 1804, 3184 |
| 2 | 902, 1592 |
| 451, 796 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1804,3184 By Matching Biggest Common Factor Method
Now, list down the factors of 1804
:1,2,4,11,22,41,44,82,164,451,902,1804
Now, list down the factors of 3184
:1,2,4,8,16,199,398,796,1592,3184
Greatest Common Factor
We found the factors 1804,3184 . The biggest common factor number is the GCF number.
So the greatest common factor 1804,3184 is 4.
Lets's calculate LCM of 879,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 428073
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/428073
Therefore, the GCF of Fractions 1804/879,3184/487 is 4/428073
Least Common Multiple of 879,487 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 879,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,487) x common factors =1 x 1 = 1
LCM(879,487) = ( 879 × 487 ) / 1
LCM(879,487) = 428073 / 1
LCM(879,487) = 428073
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FAQs on GCF of Fractions of 1804/879, 3184/487
1. What is the HCF of 1804,3184?
The HCF of 1804,3184 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 1804/879, 3184/487?
Answer: GCF of Numerators as per given numbers 1804/879, 3184/487 is
GCF of Numerators i.e. for 1804,3184 is 4
LCM of denominators i.e. for 879,487 is 428073.
Thus, GCF of Fractions is 4/428073.Finally, GCF of Fractions for 1804/879, 3184/487 is 4/428073.