GCF of 4830/821, 5871/2928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4830/821, 5871/2928 i.e 3/2403888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4830/821, 5871/2928.
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 4830/821,5871/2928?
Given fractions are 4830/821,5871/2928
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 4830/821,5871/2928, numerators are 4830,5871
Denominators are 821,2928
The GCF of 4830,5871 is 3 .
LCM of 821,2928 is 2403888.
The greatest common factor of 4830/821,5871/2928 = [GCF of 4830,5871]/[LCM of 821,2928]= 3/2403888
Therefore, the GCF of 4830/821,5871/2928 is 3/2403888.
To find the highest common factor of 4830,5871, we have to find the factors of both numbers and list the highest common factor.
The factors of 4830 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830
The factors of 5871 are 1, 3, 19, 57, 103, 309, 1957, 5871
The HCF of 4830,5871 is 3.
Lets's calculate GCF of 4830,5871
| 3 | 4830, 5871 |
| 1610, 1957 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4830,5871 By Matching Biggest Common Factor Method
Now, list down the factors of 4830
:1,2,3,5,6,7,10,14,15,21,23,30,35,42,46,69,70,105,115,138,161,210,230,322,345,483,690,805,966,1610,2415,4830
Now, list down the factors of 5871
:1,3,19,57,103,309,1957,5871
Greatest Common Factor
We found the factors 4830,5871 . The biggest common factor number is the GCF number.
So the greatest common factor 4830,5871 is 3.
Lets's calculate LCM of 821,2928
Given numbers has no common factors except 1. So, there LCM is their product i.e 2403888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2403888
Therefore, the GCF of Fractions 4830/821,5871/2928 is 3/2403888
Least Common Multiple of 821,2928 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 821,2928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,2928) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,2928) x common factors =1 x 1 = 1
LCM(821,2928) = ( 821 × 2928 ) / 1
LCM(821,2928) = 2403888 / 1
LCM(821,2928) = 2403888
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FAQs on GCF of Fractions of 4830/821, 5871/2928
1. What is the HCF of 4830,5871?
The HCF of 4830,5871 is 3
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 4830/821, 5871/2928?
Answer: GCF of Numerators as per given numbers 4830/821, 5871/2928 is
GCF of Numerators i.e. for 4830,5871 is 3
LCM of denominators i.e. for 821,2928 is 2403888.
Thus, GCF of Fractions is 3/2403888.Finally, GCF of Fractions for 4830/821, 5871/2928 is 3/2403888.