GCF of 3801/555, 1336/7216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3801/555, 1336/7216 i.e 1/4004880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3801/555, 1336/7216.
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 3801/555,1336/7216?
Given fractions are 3801/555,1336/7216
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 3801/555,1336/7216, numerators are 3801,1336
Denominators are 555,7216
The GCF of 3801,1336 is 1 .
LCM of 555,7216 is 4004880.
The greatest common factor of 3801/555,1336/7216 = [GCF of 3801,1336]/[LCM of 555,7216]= 1/4004880
Therefore, the GCF of 3801/555,1336/7216 is 1/4004880.
To find the highest common factor of 3801,1336, we have to find the factors of both numbers and list the highest common factor.
The factors of 3801 are 1, 3, 7, 21, 181, 543, 1267, 3801
The factors of 1336 are 1, 2, 4, 8, 167, 334, 668, 1336
The HCF of 3801,1336 is 1.
Lets's calculate GCF of 3801,1336
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3801,1336 By Matching Biggest Common Factor Method
Now, list down the factors of 3801
:1,3,7,21,181,543,1267,3801
Now, list down the factors of 1336
:1,2,4,8,167,334,668,1336
Greatest Common Factor
We found the factors 3801,1336 . The biggest common factor number is the GCF number.
So the greatest common factor 3801,1336 is 1.
Lets's calculate LCM of 555,7216
Given numbers has no common factors except 1. So, there LCM is their product i.e 4004880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4004880
Therefore, the GCF of Fractions 3801/555,1336/7216 is 1/4004880
Least Common Multiple of 555,7216 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 555,7216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,7216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(555,7216) x common factors =1 x 1 = 1
LCM(555,7216) = ( 555 × 7216 ) / 1
LCM(555,7216) = 4004880 / 1
LCM(555,7216) = 4004880
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FAQs on GCF of Fractions of 3801/555, 1336/7216
1. What is the HCF of 3801,1336?
The HCF of 3801,1336 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 3801/555, 1336/7216?
Answer: GCF of Numerators as per given numbers 3801/555, 1336/7216 is
GCF of Numerators i.e. for 3801,1336 is 1
LCM of denominators i.e. for 555,7216 is 4004880.
Thus, GCF of Fractions is 1/4004880.Finally, GCF of Fractions for 3801/555, 1336/7216 is 1/4004880.