GCF of 8269/716, 4896/391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8269/716, 4896/391 i.e 1/279956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8269/716, 4896/391.
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 8269/716,4896/391?
Given fractions are 8269/716,4896/391
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 8269/716,4896/391, numerators are 8269,4896
Denominators are 716,391
The GCF of 8269,4896 is 1 .
LCM of 716,391 is 279956.
The greatest common factor of 8269/716,4896/391 = [GCF of 8269,4896]/[LCM of 716,391]= 1/279956
Therefore, the GCF of 8269/716,4896/391 is 1/279956.
To find the highest common factor of 8269,4896, we have to find the factors of both numbers and list the highest common factor.
The factors of 8269 are 1, 8269
The factors of 4896 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448, 4896
The HCF of 8269,4896 is 1.
Lets's calculate GCF of 8269,4896
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8269,4896 By Matching Biggest Common Factor Method
Now, list down the factors of 8269
:1,8269
Now, list down the factors of 4896
:1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,68,72,96,102,136,144,153,204,272,288,306,408,544,612,816,1224,1632,2448,4896
Greatest Common Factor
We found the factors 8269,4896 . The biggest common factor number is the GCF number.
So the greatest common factor 8269,4896 is 1.
Lets's calculate LCM of 716,391
Given numbers has no common factors except 1. So, there LCM is their product i.e 279956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279956
Therefore, the GCF of Fractions 8269/716,4896/391 is 1/279956
Least Common Multiple of 716,391 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 716,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(716,391) x common factors =1 x 1 = 1
LCM(716,391) = ( 716 × 391 ) / 1
LCM(716,391) = 279956 / 1
LCM(716,391) = 279956
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FAQs on GCF of Fractions of 8269/716, 4896/391
1. What is the HCF of 8269,4896?
The HCF of 8269,4896 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 8269/716, 4896/391?
Answer: GCF of Numerators as per given numbers 8269/716, 4896/391 is
GCF of Numerators i.e. for 8269,4896 is 1
LCM of denominators i.e. for 716,391 is 279956.
Thus, GCF of Fractions is 1/279956.Finally, GCF of Fractions for 8269/716, 4896/391 is 1/279956.