GCF of 8353/422, 7964/896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8353/422, 7964/896 i.e 1/189056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8353/422, 7964/896.
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 8353/422,7964/896?
Given fractions are 8353/422,7964/896
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 8353/422,7964/896, numerators are 8353,7964
Denominators are 422,896
The GCF of 8353,7964 is 1 .
LCM of 422,896 is 189056.
The greatest common factor of 8353/422,7964/896 = [GCF of 8353,7964]/[LCM of 422,896]= 1/189056
Therefore, the GCF of 8353/422,7964/896 is 1/189056.
To find the highest common factor of 8353,7964, we have to find the factors of both numbers and list the highest common factor.
The factors of 8353 are 1, 8353
The factors of 7964 are 1, 2, 4, 11, 22, 44, 181, 362, 724, 1991, 3982, 7964
The HCF of 8353,7964 is 1.
Lets's calculate GCF of 8353,7964
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8353,7964 By Matching Biggest Common Factor Method
Now, list down the factors of 8353
:1,8353
Now, list down the factors of 7964
:1,2,4,11,22,44,181,362,724,1991,3982,7964
Greatest Common Factor
We found the factors 8353,7964 . The biggest common factor number is the GCF number.
So the greatest common factor 8353,7964 is 1.
Lets's calculate LCM of 422,896
| 2 | 422, 896 |
| 211, 448 |
∴ So the LCM of the given numbers is 2 x 211 x 448 = 189056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189056
Therefore, the GCF of Fractions 8353/422,7964/896 is 1/189056
Least Common Multiple of 422,896 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 422,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,896) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,896) x common factors =2 x 1 = 2
LCM(422,896) = ( 422 × 896 ) / 2
LCM(422,896) = 378112 / 2
LCM(422,896) = 189056
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FAQs on GCF of Fractions of 8353/422, 7964/896
1. What is the HCF of 8353,7964?
The HCF of 8353,7964 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 8353/422, 7964/896?
Answer: GCF of Numerators as per given numbers 8353/422, 7964/896 is
GCF of Numerators i.e. for 8353,7964 is 1
LCM of denominators i.e. for 422,896 is 189056.
Thus, GCF of Fractions is 1/189056.Finally, GCF of Fractions for 8353/422, 7964/896 is 1/189056.