GCF of 8511/819, 3376/4339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8511/819, 3376/4339 i.e 1/3553641 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8511/819, 3376/4339.
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 8511/819,3376/4339?
Given fractions are 8511/819,3376/4339
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 8511/819,3376/4339, numerators are 8511,3376
Denominators are 819,4339
The GCF of 8511,3376 is 1 .
LCM of 819,4339 is 3553641.
The greatest common factor of 8511/819,3376/4339 = [GCF of 8511,3376]/[LCM of 819,4339]= 1/3553641
Therefore, the GCF of 8511/819,3376/4339 is 1/3553641.
To find the highest common factor of 8511,3376, we have to find the factors of both numbers and list the highest common factor.
The factors of 8511 are 1, 3, 2837, 8511
The factors of 3376 are 1, 2, 4, 8, 16, 211, 422, 844, 1688, 3376
The HCF of 8511,3376 is 1.
Lets's calculate GCF of 8511,3376
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8511,3376 By Matching Biggest Common Factor Method
Now, list down the factors of 8511
:1,3,2837,8511
Now, list down the factors of 3376
:1,2,4,8,16,211,422,844,1688,3376
Greatest Common Factor
We found the factors 8511,3376 . The biggest common factor number is the GCF number.
So the greatest common factor 8511,3376 is 1.
Lets's calculate LCM of 819,4339
Given numbers has no common factors except 1. So, there LCM is their product i.e 3553641
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3553641
Therefore, the GCF of Fractions 8511/819,3376/4339 is 1/3553641
Least Common Multiple of 819,4339 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 819,4339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,4339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,4339) x common factors =1 x 1 = 1
LCM(819,4339) = ( 819 × 4339 ) / 1
LCM(819,4339) = 3553641 / 1
LCM(819,4339) = 3553641
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FAQs on GCF of Fractions of 8511/819, 3376/4339
1. What is the HCF of 8511,3376?
The HCF of 8511,3376 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 8511/819, 3376/4339?
Answer: GCF of Numerators as per given numbers 8511/819, 3376/4339 is
GCF of Numerators i.e. for 8511,3376 is 1
LCM of denominators i.e. for 819,4339 is 3553641.
Thus, GCF of Fractions is 1/3553641.Finally, GCF of Fractions for 8511/819, 3376/4339 is 1/3553641.