GCF of 5296/828, 8782/449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5296/828, 8782/449 i.e 2/371772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5296/828, 8782/449.
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 5296/828,8782/449?
Given fractions are 5296/828,8782/449
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 5296/828,8782/449, numerators are 5296,8782
Denominators are 828,449
The GCF of 5296,8782 is 2 .
LCM of 828,449 is 371772.
The greatest common factor of 5296/828,8782/449 = [GCF of 5296,8782]/[LCM of 828,449]= 2/371772
Therefore, the GCF of 5296/828,8782/449 is 2/371772.
To find the highest common factor of 5296,8782, we have to find the factors of both numbers and list the highest common factor.
The factors of 5296 are 1, 2, 4, 8, 16, 331, 662, 1324, 2648, 5296
The factors of 8782 are 1, 2, 4391, 8782
The HCF of 5296,8782 is 2.
Lets's calculate GCF of 5296,8782
| 2 | 5296, 8782 |
| 2648, 4391 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5296,8782 By Matching Biggest Common Factor Method
Now, list down the factors of 5296
:1,2,4,8,16,331,662,1324,2648,5296
Now, list down the factors of 8782
:1,2,4391,8782
Greatest Common Factor
We found the factors 5296,8782 . The biggest common factor number is the GCF number.
So the greatest common factor 5296,8782 is 2.
Lets's calculate LCM of 828,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 371772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/371772
Therefore, the GCF of Fractions 5296/828,8782/449 is 2/371772
Least Common Multiple of 828,449 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 828,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(828,449) x common factors =1 x 1 = 1
LCM(828,449) = ( 828 × 449 ) / 1
LCM(828,449) = 371772 / 1
LCM(828,449) = 371772
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FAQs on GCF of Fractions of 5296/828, 8782/449
1. What is the HCF of 5296,8782?
The HCF of 5296,8782 is 2
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 5296/828, 8782/449?
Answer: GCF of Numerators as per given numbers 5296/828, 8782/449 is
GCF of Numerators i.e. for 5296,8782 is 2
LCM of denominators i.e. for 828,449 is 371772.
Thus, GCF of Fractions is 2/371772.Finally, GCF of Fractions for 5296/828, 8782/449 is 2/371772.