GCF of 5398/846, 5468/3426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5398/846, 5468/3426 i.e 2/483066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5398/846, 5468/3426.
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 5398/846,5468/3426?
Given fractions are 5398/846,5468/3426
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 5398/846,5468/3426, numerators are 5398,5468
Denominators are 846,3426
The GCF of 5398,5468 is 2 .
LCM of 846,3426 is 483066.
The greatest common factor of 5398/846,5468/3426 = [GCF of 5398,5468]/[LCM of 846,3426]= 2/483066
Therefore, the GCF of 5398/846,5468/3426 is 2/483066.
To find the highest common factor of 5398,5468, we have to find the factors of both numbers and list the highest common factor.
The factors of 5398 are 1, 2, 2699, 5398
The factors of 5468 are 1, 2, 4, 1367, 2734, 5468
The HCF of 5398,5468 is 2.
Lets's calculate GCF of 5398,5468
| 2 | 5398, 5468 |
| 2699, 2734 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5398,5468 By Matching Biggest Common Factor Method
Now, list down the factors of 5398
:1,2,2699,5398
Now, list down the factors of 5468
:1,2,4,1367,2734,5468
Greatest Common Factor
We found the factors 5398,5468 . The biggest common factor number is the GCF number.
So the greatest common factor 5398,5468 is 2.
Lets's calculate LCM of 846,3426
| 2 | 846, 3426 |
| 3 | 423, 1713 |
| 141, 571 |
∴ So the LCM of the given numbers is 2 x 3 x 141 x 571 = 483066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/483066
Therefore, the GCF of Fractions 5398/846,5468/3426 is 2/483066
Least Common Multiple of 846,3426 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 846,3426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,3426) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(846,3426) x common factors =6 x 1 = 6
LCM(846,3426) = ( 846 × 3426 ) / 6
LCM(846,3426) = 2898396 / 6
LCM(846,3426) = 483066
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FAQs on GCF of Fractions of 5398/846, 5468/3426
1. What is the HCF of 5398,5468?
The HCF of 5398,5468 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 5398/846, 5468/3426?
Answer: GCF of Numerators as per given numbers 5398/846, 5468/3426 is
GCF of Numerators i.e. for 5398,5468 is 2
LCM of denominators i.e. for 846,3426 is 483066.
Thus, GCF of Fractions is 2/483066.Finally, GCF of Fractions for 5398/846, 5468/3426 is 2/483066.