GCF of 5212/101, 3509/4307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5212/101, 3509/4307 i.e 1/435007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5212/101, 3509/4307.
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 5212/101,3509/4307?
Given fractions are 5212/101,3509/4307
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 5212/101,3509/4307, numerators are 5212,3509
Denominators are 101,4307
The GCF of 5212,3509 is 1 .
LCM of 101,4307 is 435007.
The greatest common factor of 5212/101,3509/4307 = [GCF of 5212,3509]/[LCM of 101,4307]= 1/435007
Therefore, the GCF of 5212/101,3509/4307 is 1/435007.
To find the highest common factor of 5212,3509, we have to find the factors of both numbers and list the highest common factor.
The factors of 5212 are 1, 2, 4, 1303, 2606, 5212
The factors of 3509 are 1, 11, 29, 121, 319, 3509
The HCF of 5212,3509 is 1.
Lets's calculate GCF of 5212,3509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5212,3509 By Matching Biggest Common Factor Method
Now, list down the factors of 5212
:1,2,4,1303,2606,5212
Now, list down the factors of 3509
:1,11,29,121,319,3509
Greatest Common Factor
We found the factors 5212,3509 . The biggest common factor number is the GCF number.
So the greatest common factor 5212,3509 is 1.
Lets's calculate LCM of 101,4307
Given numbers has no common factors except 1. So, there LCM is their product i.e 435007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/435007
Therefore, the GCF of Fractions 5212/101,3509/4307 is 1/435007
Least Common Multiple of 101,4307 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 101,4307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,4307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,4307) x common factors =1 x 1 = 1
LCM(101,4307) = ( 101 × 4307 ) / 1
LCM(101,4307) = 435007 / 1
LCM(101,4307) = 435007
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FAQs on GCF of Fractions of 5212/101, 3509/4307
1. What is the HCF of 5212,3509?
The HCF of 5212,3509 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 5212/101, 3509/4307?
Answer: GCF of Numerators as per given numbers 5212/101, 3509/4307 is
GCF of Numerators i.e. for 5212,3509 is 1
LCM of denominators i.e. for 101,4307 is 435007.
Thus, GCF of Fractions is 1/435007.Finally, GCF of Fractions for 5212/101, 3509/4307 is 1/435007.