GCF of 1446/589, 2538/5546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1446/589, 2538/5546 i.e 6/3266594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1446/589, 2538/5546.
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 1446/589,2538/5546?
Given fractions are 1446/589,2538/5546
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 1446/589,2538/5546, numerators are 1446,2538
Denominators are 589,5546
The GCF of 1446,2538 is 6 .
LCM of 589,5546 is 3266594.
The greatest common factor of 1446/589,2538/5546 = [GCF of 1446,2538]/[LCM of 589,5546]= 6/3266594
Therefore, the GCF of 1446/589,2538/5546 is 6/3266594.
To find the highest common factor of 1446,2538, we have to find the factors of both numbers and list the highest common factor.
The factors of 1446 are 1, 2, 3, 6, 241, 482, 723, 1446
The factors of 2538 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, 2538
The HCF of 1446,2538 is 6.
Lets's calculate GCF of 1446,2538
| 2 | 1446, 2538 |
| 3 | 723, 1269 |
| 241, 423 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1446,2538 By Matching Biggest Common Factor Method
Now, list down the factors of 1446
:1,2,3,6,241,482,723,1446
Now, list down the factors of 2538
:1,2,3,6,9,18,27,47,54,94,141,282,423,846,1269,2538
Greatest Common Factor
We found the factors 1446,2538 . The biggest common factor number is the GCF number.
So the greatest common factor 1446,2538 is 6.
Lets's calculate LCM of 589,5546
Given numbers has no common factors except 1. So, there LCM is their product i.e 3266594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3266594
Therefore, the GCF of Fractions 1446/589,2538/5546 is 6/3266594
Least Common Multiple of 589,5546 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 589,5546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,5546) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,5546) x common factors =1 x 1 = 1
LCM(589,5546) = ( 589 × 5546 ) / 1
LCM(589,5546) = 3266594 / 1
LCM(589,5546) = 3266594
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FAQs on GCF of Fractions of 1446/589, 2538/5546
1. What is the HCF of 1446,2538?
The HCF of 1446,2538 is 6
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 1446/589, 2538/5546?
Answer: GCF of Numerators as per given numbers 1446/589, 2538/5546 is
GCF of Numerators i.e. for 1446,2538 is 6
LCM of denominators i.e. for 589,5546 is 3266594.
Thus, GCF of Fractions is 6/3266594.Finally, GCF of Fractions for 1446/589, 2538/5546 is 6/3266594.