GCF of 2021/613, 4771/9649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2021/613, 4771/9649 i.e 1/5914837 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2021/613, 4771/9649.
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 2021/613,4771/9649?
Given fractions are 2021/613,4771/9649
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 2021/613,4771/9649, numerators are 2021,4771
Denominators are 613,9649
The GCF of 2021,4771 is 1 .
LCM of 613,9649 is 5914837.
The greatest common factor of 2021/613,4771/9649 = [GCF of 2021,4771]/[LCM of 613,9649]= 1/5914837
Therefore, the GCF of 2021/613,4771/9649 is 1/5914837.
To find the highest common factor of 2021,4771, we have to find the factors of both numbers and list the highest common factor.
The factors of 2021 are 1, 43, 47, 2021
The factors of 4771 are 1, 13, 367, 4771
The HCF of 2021,4771 is 1.
Lets's calculate GCF of 2021,4771
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2021,4771 By Matching Biggest Common Factor Method
Now, list down the factors of 2021
:1,43,47,2021
Now, list down the factors of 4771
:1,13,367,4771
Greatest Common Factor
We found the factors 2021,4771 . The biggest common factor number is the GCF number.
So the greatest common factor 2021,4771 is 1.
Lets's calculate LCM of 613,9649
Given numbers has no common factors except 1. So, there LCM is their product i.e 5914837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5914837
Therefore, the GCF of Fractions 2021/613,4771/9649 is 1/5914837
Least Common Multiple of 613,9649 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 613,9649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,9649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,9649) x common factors =1 x 1 = 1
LCM(613,9649) = ( 613 × 9649 ) / 1
LCM(613,9649) = 5914837 / 1
LCM(613,9649) = 5914837
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FAQs on GCF of Fractions of 2021/613, 4771/9649
1. What is the HCF of 2021,4771?
The HCF of 2021,4771 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 2021/613, 4771/9649?
Answer: GCF of Numerators as per given numbers 2021/613, 4771/9649 is
GCF of Numerators i.e. for 2021,4771 is 1
LCM of denominators i.e. for 613,9649 is 5914837.
Thus, GCF of Fractions is 1/5914837.Finally, GCF of Fractions for 2021/613, 4771/9649 is 1/5914837.