GCF of 4558/393, 2154/1565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4558/393, 2154/1565 i.e 2/615045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4558/393, 2154/1565.
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 4558/393,2154/1565?
Given fractions are 4558/393,2154/1565
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 4558/393,2154/1565, numerators are 4558,2154
Denominators are 393,1565
The GCF of 4558,2154 is 2 .
LCM of 393,1565 is 615045.
The greatest common factor of 4558/393,2154/1565 = [GCF of 4558,2154]/[LCM of 393,1565]= 2/615045
Therefore, the GCF of 4558/393,2154/1565 is 2/615045.
To find the highest common factor of 4558,2154, we have to find the factors of both numbers and list the highest common factor.
The factors of 4558 are 1, 2, 43, 53, 86, 106, 2279, 4558
The factors of 2154 are 1, 2, 3, 6, 359, 718, 1077, 2154
The HCF of 4558,2154 is 2.
Lets's calculate GCF of 4558,2154
| 2 | 4558, 2154 |
| 2279, 1077 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4558,2154 By Matching Biggest Common Factor Method
Now, list down the factors of 4558
:1,2,43,53,86,106,2279,4558
Now, list down the factors of 2154
:1,2,3,6,359,718,1077,2154
Greatest Common Factor
We found the factors 4558,2154 . The biggest common factor number is the GCF number.
So the greatest common factor 4558,2154 is 2.
Lets's calculate LCM of 393,1565
Given numbers has no common factors except 1. So, there LCM is their product i.e 615045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/615045
Therefore, the GCF of Fractions 4558/393,2154/1565 is 2/615045
Least Common Multiple of 393,1565 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 393,1565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,1565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(393,1565) x common factors =1 x 1 = 1
LCM(393,1565) = ( 393 × 1565 ) / 1
LCM(393,1565) = 615045 / 1
LCM(393,1565) = 615045
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FAQs on GCF of Fractions of 4558/393, 2154/1565
1. What is the HCF of 4558,2154?
The HCF of 4558,2154 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 4558/393, 2154/1565?
Answer: GCF of Numerators as per given numbers 4558/393, 2154/1565 is
GCF of Numerators i.e. for 4558,2154 is 2
LCM of denominators i.e. for 393,1565 is 615045.
Thus, GCF of Fractions is 2/615045.Finally, GCF of Fractions for 4558/393, 2154/1565 is 2/615045.