GCF of 2983/115, 4877/1884
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2983/115, 4877/1884 i.e 1/216660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2983/115, 4877/1884.
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 2983/115,4877/1884?
Given fractions are 2983/115,4877/1884
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 2983/115,4877/1884, numerators are 2983,4877
Denominators are 115,1884
The GCF of 2983,4877 is 1 .
LCM of 115,1884 is 216660.
The greatest common factor of 2983/115,4877/1884 = [GCF of 2983,4877]/[LCM of 115,1884]= 1/216660
Therefore, the GCF of 2983/115,4877/1884 is 1/216660.
To find the highest common factor of 2983,4877, we have to find the factors of both numbers and list the highest common factor.
The factors of 2983 are 1, 19, 157, 2983
The factors of 4877 are 1, 4877
The HCF of 2983,4877 is 1.
Lets's calculate GCF of 2983,4877
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2983,4877 By Matching Biggest Common Factor Method
Now, list down the factors of 2983
:1,19,157,2983
Now, list down the factors of 4877
:1,4877
Greatest Common Factor
We found the factors 2983,4877 . The biggest common factor number is the GCF number.
So the greatest common factor 2983,4877 is 1.
Lets's calculate LCM of 115,1884
Given numbers has no common factors except 1. So, there LCM is their product i.e 216660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216660
Therefore, the GCF of Fractions 2983/115,4877/1884 is 1/216660
Least Common Multiple of 115,1884 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 115,1884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,1884) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,1884) x common factors =1 x 1 = 1
LCM(115,1884) = ( 115 × 1884 ) / 1
LCM(115,1884) = 216660 / 1
LCM(115,1884) = 216660
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FAQs on GCF of Fractions of 2983/115, 4877/1884
1. What is the HCF of 2983,4877?
The HCF of 2983,4877 is 1
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 2983/115, 4877/1884?
Answer: GCF of Numerators as per given numbers 2983/115, 4877/1884 is
GCF of Numerators i.e. for 2983,4877 is 1
LCM of denominators i.e. for 115,1884 is 216660.
Thus, GCF of Fractions is 1/216660.Finally, GCF of Fractions for 2983/115, 4877/1884 is 1/216660.