GCF of 3837/213, 7255/5522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3837/213, 7255/5522 i.e 1/1176186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3837/213, 7255/5522.
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 3837/213,7255/5522?
Given fractions are 3837/213,7255/5522
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 3837/213,7255/5522, numerators are 3837,7255
Denominators are 213,5522
The GCF of 3837,7255 is 1 .
LCM of 213,5522 is 1176186.
The greatest common factor of 3837/213,7255/5522 = [GCF of 3837,7255]/[LCM of 213,5522]= 1/1176186
Therefore, the GCF of 3837/213,7255/5522 is 1/1176186.
To find the highest common factor of 3837,7255, we have to find the factors of both numbers and list the highest common factor.
The factors of 3837 are 1, 3, 1279, 3837
The factors of 7255 are 1, 5, 1451, 7255
The HCF of 3837,7255 is 1.
Lets's calculate GCF of 3837,7255
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3837,7255 By Matching Biggest Common Factor Method
Now, list down the factors of 3837
:1,3,1279,3837
Now, list down the factors of 7255
:1,5,1451,7255
Greatest Common Factor
We found the factors 3837,7255 . The biggest common factor number is the GCF number.
So the greatest common factor 3837,7255 is 1.
Lets's calculate LCM of 213,5522
Given numbers has no common factors except 1. So, there LCM is their product i.e 1176186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1176186
Therefore, the GCF of Fractions 3837/213,7255/5522 is 1/1176186
Least Common Multiple of 213,5522 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 213,5522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,5522) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,5522) x common factors =1 x 1 = 1
LCM(213,5522) = ( 213 × 5522 ) / 1
LCM(213,5522) = 1176186 / 1
LCM(213,5522) = 1176186
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FAQs on GCF of Fractions of 3837/213, 7255/5522
1. What is the HCF of 3837,7255?
The HCF of 3837,7255 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 3837/213, 7255/5522?
Answer: GCF of Numerators as per given numbers 3837/213, 7255/5522 is
GCF of Numerators i.e. for 3837,7255 is 1
LCM of denominators i.e. for 213,5522 is 1176186.
Thus, GCF of Fractions is 1/1176186.Finally, GCF of Fractions for 3837/213, 7255/5522 is 1/1176186.