GCF of 5845/379, 2021/7353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5845/379, 2021/7353 i.e 1/2786787 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5845/379, 2021/7353.
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 5845/379,2021/7353?
Given fractions are 5845/379,2021/7353
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 5845/379,2021/7353, numerators are 5845,2021
Denominators are 379,7353
The GCF of 5845,2021 is 1 .
LCM of 379,7353 is 2786787.
The greatest common factor of 5845/379,2021/7353 = [GCF of 5845,2021]/[LCM of 379,7353]= 1/2786787
Therefore, the GCF of 5845/379,2021/7353 is 1/2786787.
To find the highest common factor of 5845,2021, we have to find the factors of both numbers and list the highest common factor.
The factors of 5845 are 1, 5, 7, 35, 167, 835, 1169, 5845
The factors of 2021 are 1, 43, 47, 2021
The HCF of 5845,2021 is 1.
Lets's calculate GCF of 5845,2021
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5845,2021 By Matching Biggest Common Factor Method
Now, list down the factors of 5845
:1,5,7,35,167,835,1169,5845
Now, list down the factors of 2021
:1,43,47,2021
Greatest Common Factor
We found the factors 5845,2021 . The biggest common factor number is the GCF number.
So the greatest common factor 5845,2021 is 1.
Lets's calculate LCM of 379,7353
Given numbers has no common factors except 1. So, there LCM is their product i.e 2786787
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2786787
Therefore, the GCF of Fractions 5845/379,2021/7353 is 1/2786787
Least Common Multiple of 379,7353 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 379,7353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,7353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,7353) x common factors =1 x 1 = 1
LCM(379,7353) = ( 379 × 7353 ) / 1
LCM(379,7353) = 2786787 / 1
LCM(379,7353) = 2786787
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FAQs on GCF of Fractions of 5845/379, 2021/7353
1. What is the HCF of 5845,2021?
The HCF of 5845,2021 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 5845/379, 2021/7353?
Answer: GCF of Numerators as per given numbers 5845/379, 2021/7353 is
GCF of Numerators i.e. for 5845,2021 is 1
LCM of denominators i.e. for 379,7353 is 2786787.
Thus, GCF of Fractions is 1/2786787.Finally, GCF of Fractions for 5845/379, 2021/7353 is 1/2786787.