GCF of 2213/521, 6837/4115
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2213/521, 6837/4115 i.e 1/2143915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2213/521, 6837/4115.
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 2213/521,6837/4115?
Given fractions are 2213/521,6837/4115
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 2213/521,6837/4115, numerators are 2213,6837
Denominators are 521,4115
The GCF of 2213,6837 is 1 .
LCM of 521,4115 is 2143915.
The greatest common factor of 2213/521,6837/4115 = [GCF of 2213,6837]/[LCM of 521,4115]= 1/2143915
Therefore, the GCF of 2213/521,6837/4115 is 1/2143915.
To find the highest common factor of 2213,6837, we have to find the factors of both numbers and list the highest common factor.
The factors of 2213 are 1, 2213
The factors of 6837 are 1, 3, 43, 53, 129, 159, 2279, 6837
The HCF of 2213,6837 is 1.
Lets's calculate GCF of 2213,6837
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2213,6837 By Matching Biggest Common Factor Method
Now, list down the factors of 2213
:1,2213
Now, list down the factors of 6837
:1,3,43,53,129,159,2279,6837
Greatest Common Factor
We found the factors 2213,6837 . The biggest common factor number is the GCF number.
So the greatest common factor 2213,6837 is 1.
Lets's calculate LCM of 521,4115
Given numbers has no common factors except 1. So, there LCM is their product i.e 2143915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2143915
Therefore, the GCF of Fractions 2213/521,6837/4115 is 1/2143915
Least Common Multiple of 521,4115 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 521,4115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,4115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,4115) x common factors =1 x 1 = 1
LCM(521,4115) = ( 521 × 4115 ) / 1
LCM(521,4115) = 2143915 / 1
LCM(521,4115) = 2143915
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FAQs on GCF of Fractions of 2213/521, 6837/4115
1. What is the HCF of 2213,6837?
The HCF of 2213,6837 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 2213/521, 6837/4115?
Answer: GCF of Numerators as per given numbers 2213/521, 6837/4115 is
GCF of Numerators i.e. for 2213,6837 is 1
LCM of denominators i.e. for 521,4115 is 2143915.
Thus, GCF of Fractions is 1/2143915.Finally, GCF of Fractions for 2213/521, 6837/4115 is 1/2143915.