GCF of 8426/784, 3326/8912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8426/784, 3326/8912 i.e 2/436688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8426/784, 3326/8912.
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 8426/784,3326/8912?
Given fractions are 8426/784,3326/8912
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 8426/784,3326/8912, numerators are 8426,3326
Denominators are 784,8912
The GCF of 8426,3326 is 2 .
LCM of 784,8912 is 436688.
The greatest common factor of 8426/784,3326/8912 = [GCF of 8426,3326]/[LCM of 784,8912]= 2/436688
Therefore, the GCF of 8426/784,3326/8912 is 2/436688.
To find the highest common factor of 8426,3326, we have to find the factors of both numbers and list the highest common factor.
The factors of 8426 are 1, 2, 11, 22, 383, 766, 4213, 8426
The factors of 3326 are 1, 2, 1663, 3326
The HCF of 8426,3326 is 2.
Lets's calculate GCF of 8426,3326
| 2 | 8426, 3326 |
| 4213, 1663 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8426,3326 By Matching Biggest Common Factor Method
Now, list down the factors of 8426
:1,2,11,22,383,766,4213,8426
Now, list down the factors of 3326
:1,2,1663,3326
Greatest Common Factor
We found the factors 8426,3326 . The biggest common factor number is the GCF number.
So the greatest common factor 8426,3326 is 2.
Lets's calculate LCM of 784,8912
| 2 | 784, 8912 |
| 2 | 392, 4456 |
| 2 | 196, 2228 |
| 2 | 98, 1114 |
| 49, 557 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 49 x 557 = 436688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/436688
Therefore, the GCF of Fractions 8426/784,3326/8912 is 2/436688
Least Common Multiple of 784,8912 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 784,8912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,8912) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(784,8912) x common factors =16 x 1 = 16
LCM(784,8912) = ( 784 × 8912 ) / 16
LCM(784,8912) = 6987008 / 16
LCM(784,8912) = 436688
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FAQs on GCF of Fractions of 8426/784, 3326/8912
1. What is the HCF of 8426,3326?
The HCF of 8426,3326 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 8426/784, 3326/8912?
Answer: GCF of Numerators as per given numbers 8426/784, 3326/8912 is
GCF of Numerators i.e. for 8426,3326 is 2
LCM of denominators i.e. for 784,8912 is 436688.
Thus, GCF of Fractions is 2/436688.Finally, GCF of Fractions for 8426/784, 3326/8912 is 2/436688.