GCF of 8276/391, 1296/8321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8276/391, 1296/8321 i.e 4/3253511 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8276/391, 1296/8321.
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 8276/391,1296/8321?
Given fractions are 8276/391,1296/8321
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 8276/391,1296/8321, numerators are 8276,1296
Denominators are 391,8321
The GCF of 8276,1296 is 4 .
LCM of 391,8321 is 3253511.
The greatest common factor of 8276/391,1296/8321 = [GCF of 8276,1296]/[LCM of 391,8321]= 4/3253511
Therefore, the GCF of 8276/391,1296/8321 is 4/3253511.
To find the highest common factor of 8276,1296, we have to find the factors of both numbers and list the highest common factor.
The factors of 8276 are 1, 2, 4, 2069, 4138, 8276
The factors of 1296 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, 1296
The HCF of 8276,1296 is 4.
Lets's calculate GCF of 8276,1296
| 2 | 8276, 1296 |
| 2 | 4138, 648 |
| 2069, 324 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8276,1296 By Matching Biggest Common Factor Method
Now, list down the factors of 8276
:1,2,4,2069,4138,8276
Now, list down the factors of 1296
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296
Greatest Common Factor
We found the factors 8276,1296 . The biggest common factor number is the GCF number.
So the greatest common factor 8276,1296 is 4.
Lets's calculate LCM of 391,8321
Given numbers has no common factors except 1. So, there LCM is their product i.e 3253511
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3253511
Therefore, the GCF of Fractions 8276/391,1296/8321 is 4/3253511
Least Common Multiple of 391,8321 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 391,8321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,8321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,8321) x common factors =1 x 1 = 1
LCM(391,8321) = ( 391 × 8321 ) / 1
LCM(391,8321) = 3253511 / 1
LCM(391,8321) = 3253511
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FAQs on GCF of Fractions of 8276/391, 1296/8321
1. What is the HCF of 8276,1296?
The HCF of 8276,1296 is 4
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 8276/391, 1296/8321?
Answer: GCF of Numerators as per given numbers 8276/391, 1296/8321 is
GCF of Numerators i.e. for 8276,1296 is 4
LCM of denominators i.e. for 391,8321 is 3253511.
Thus, GCF of Fractions is 4/3253511.Finally, GCF of Fractions for 8276/391, 1296/8321 is 4/3253511.