GCF of 1456/841, 5326/2001
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1456/841, 5326/2001 i.e 2/58029 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1456/841, 5326/2001.
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 1456/841,5326/2001?
Given fractions are 1456/841,5326/2001
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 1456/841,5326/2001, numerators are 1456,5326
Denominators are 841,2001
The GCF of 1456,5326 is 2 .
LCM of 841,2001 is 58029.
The greatest common factor of 1456/841,5326/2001 = [GCF of 1456,5326]/[LCM of 841,2001]= 2/58029
Therefore, the GCF of 1456/841,5326/2001 is 2/58029.
To find the highest common factor of 1456,5326, we have to find the factors of both numbers and list the highest common factor.
The factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456
The factors of 5326 are 1, 2, 2663, 5326
The HCF of 1456,5326 is 2.
Lets's calculate GCF of 1456,5326
| 2 | 1456, 5326 |
| 728, 2663 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1456,5326 By Matching Biggest Common Factor Method
Now, list down the factors of 1456
:1,2,4,7,8,13,14,16,26,28,52,56,91,104,112,182,208,364,728,1456
Now, list down the factors of 5326
:1,2,2663,5326
Greatest Common Factor
We found the factors 1456,5326 . The biggest common factor number is the GCF number.
So the greatest common factor 1456,5326 is 2.
Lets's calculate LCM of 841,2001
| 29 | 841, 2001 |
| 29, 69 |
∴ So the LCM of the given numbers is 29 x 29 x 69 = 58029
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58029
Therefore, the GCF of Fractions 1456/841,5326/2001 is 2/58029
Least Common Multiple of 841,2001 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 841,2001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,2001) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(841,2001) x common factors =29 x 1 = 29
LCM(841,2001) = ( 841 × 2001 ) / 29
LCM(841,2001) = 1682841 / 29
LCM(841,2001) = 58029
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FAQs on GCF of Fractions of 1456/841, 5326/2001
1. What is the HCF of 1456,5326?
The HCF of 1456,5326 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 1456/841, 5326/2001?
Answer: GCF of Numerators as per given numbers 1456/841, 5326/2001 is
GCF of Numerators i.e. for 1456,5326 is 2
LCM of denominators i.e. for 841,2001 is 58029.
Thus, GCF of Fractions is 2/58029.Finally, GCF of Fractions for 1456/841, 5326/2001 is 2/58029.