GCF of 8812/821, 1926/8896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8812/821, 1926/8896 i.e 2/7303616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8812/821, 1926/8896.
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 8812/821,1926/8896?
Given fractions are 8812/821,1926/8896
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 8812/821,1926/8896, numerators are 8812,1926
Denominators are 821,8896
The GCF of 8812,1926 is 2 .
LCM of 821,8896 is 7303616.
The greatest common factor of 8812/821,1926/8896 = [GCF of 8812,1926]/[LCM of 821,8896]= 2/7303616
Therefore, the GCF of 8812/821,1926/8896 is 2/7303616.
To find the highest common factor of 8812,1926, we have to find the factors of both numbers and list the highest common factor.
The factors of 8812 are 1, 2, 4, 2203, 4406, 8812
The factors of 1926 are 1, 2, 3, 6, 9, 18, 107, 214, 321, 642, 963, 1926
The HCF of 8812,1926 is 2.
Lets's calculate GCF of 8812,1926
| 2 | 8812, 1926 |
| 4406, 963 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8812,1926 By Matching Biggest Common Factor Method
Now, list down the factors of 8812
:1,2,4,2203,4406,8812
Now, list down the factors of 1926
:1,2,3,6,9,18,107,214,321,642,963,1926
Greatest Common Factor
We found the factors 8812,1926 . The biggest common factor number is the GCF number.
So the greatest common factor 8812,1926 is 2.
Lets's calculate LCM of 821,8896
Given numbers has no common factors except 1. So, there LCM is their product i.e 7303616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7303616
Therefore, the GCF of Fractions 8812/821,1926/8896 is 2/7303616
Least Common Multiple of 821,8896 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 821,8896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,8896) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,8896) x common factors =1 x 1 = 1
LCM(821,8896) = ( 821 × 8896 ) / 1
LCM(821,8896) = 7303616 / 1
LCM(821,8896) = 7303616
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FAQs on GCF of Fractions of 8812/821, 1926/8896
1. What is the HCF of 8812,1926?
The HCF of 8812,1926 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 8812/821, 1926/8896?
Answer: GCF of Numerators as per given numbers 8812/821, 1926/8896 is
GCF of Numerators i.e. for 8812,1926 is 2
LCM of denominators i.e. for 821,8896 is 7303616.
Thus, GCF of Fractions is 2/7303616.Finally, GCF of Fractions for 8812/821, 1926/8896 is 2/7303616.