GCF of 8484/328, 4954/2643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8484/328, 4954/2643 i.e 2/866904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8484/328, 4954/2643.
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 8484/328,4954/2643?
Given fractions are 8484/328,4954/2643
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 8484/328,4954/2643, numerators are 8484,4954
Denominators are 328,2643
The GCF of 8484,4954 is 2 .
LCM of 328,2643 is 866904.
The greatest common factor of 8484/328,4954/2643 = [GCF of 8484,4954]/[LCM of 328,2643]= 2/866904
Therefore, the GCF of 8484/328,4954/2643 is 2/866904.
To find the highest common factor of 8484,4954, we have to find the factors of both numbers and list the highest common factor.
The factors of 8484 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484
The factors of 4954 are 1, 2, 2477, 4954
The HCF of 8484,4954 is 2.
Lets's calculate GCF of 8484,4954
| 2 | 8484, 4954 |
| 4242, 2477 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8484,4954 By Matching Biggest Common Factor Method
Now, list down the factors of 8484
:1,2,3,4,6,7,12,14,21,28,42,84,101,202,303,404,606,707,1212,1414,2121,2828,4242,8484
Now, list down the factors of 4954
:1,2,2477,4954
Greatest Common Factor
We found the factors 8484,4954 . The biggest common factor number is the GCF number.
So the greatest common factor 8484,4954 is 2.
Lets's calculate LCM of 328,2643
Given numbers has no common factors except 1. So, there LCM is their product i.e 866904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/866904
Therefore, the GCF of Fractions 8484/328,4954/2643 is 2/866904
Least Common Multiple of 328,2643 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 328,2643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,2643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(328,2643) x common factors =1 x 1 = 1
LCM(328,2643) = ( 328 × 2643 ) / 1
LCM(328,2643) = 866904 / 1
LCM(328,2643) = 866904
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FAQs on GCF of Fractions of 8484/328, 4954/2643
1. What is the HCF of 8484,4954?
The HCF of 8484,4954 is 2
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 8484/328, 4954/2643?
Answer: GCF of Numerators as per given numbers 8484/328, 4954/2643 is
GCF of Numerators i.e. for 8484,4954 is 2
LCM of denominators i.e. for 328,2643 is 866904.
Thus, GCF of Fractions is 2/866904.Finally, GCF of Fractions for 8484/328, 4954/2643 is 2/866904.