GCF of 5954/824, 8336/6772
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5954/824, 8336/6772 i.e 2/1395032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5954/824, 8336/6772.
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 5954/824,8336/6772?
Given fractions are 5954/824,8336/6772
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 5954/824,8336/6772, numerators are 5954,8336
Denominators are 824,6772
The GCF of 5954,8336 is 2 .
LCM of 824,6772 is 1395032.
The greatest common factor of 5954/824,8336/6772 = [GCF of 5954,8336]/[LCM of 824,6772]= 2/1395032
Therefore, the GCF of 5954/824,8336/6772 is 2/1395032.
To find the highest common factor of 5954,8336, we have to find the factors of both numbers and list the highest common factor.
The factors of 5954 are 1, 2, 13, 26, 229, 458, 2977, 5954
The factors of 8336 are 1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336
The HCF of 5954,8336 is 2.
Lets's calculate GCF of 5954,8336
| 2 | 5954, 8336 |
| 2977, 4168 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5954,8336 By Matching Biggest Common Factor Method
Now, list down the factors of 5954
:1,2,13,26,229,458,2977,5954
Now, list down the factors of 8336
:1,2,4,8,16,521,1042,2084,4168,8336
Greatest Common Factor
We found the factors 5954,8336 . The biggest common factor number is the GCF number.
So the greatest common factor 5954,8336 is 2.
Lets's calculate LCM of 824,6772
| 2 | 824, 6772 |
| 2 | 412, 3386 |
| 206, 1693 |
∴ So the LCM of the given numbers is 2 x 2 x 206 x 1693 = 1395032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1395032
Therefore, the GCF of Fractions 5954/824,8336/6772 is 2/1395032
Least Common Multiple of 824,6772 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 824,6772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,6772) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(824,6772) x common factors =4 x 1 = 4
LCM(824,6772) = ( 824 × 6772 ) / 4
LCM(824,6772) = 5580128 / 4
LCM(824,6772) = 1395032
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FAQs on GCF of Fractions of 5954/824, 8336/6772
1. What is the HCF of 5954,8336?
The HCF of 5954,8336 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 5954/824, 8336/6772?
Answer: GCF of Numerators as per given numbers 5954/824, 8336/6772 is
GCF of Numerators i.e. for 5954,8336 is 2
LCM of denominators i.e. for 824,6772 is 1395032.
Thus, GCF of Fractions is 2/1395032.Finally, GCF of Fractions for 5954/824, 8336/6772 is 2/1395032.