GCF of 4421/418, 4045/9532
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4421/418, 4045/9532 i.e 1/1992188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4421/418, 4045/9532.
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 4421/418,4045/9532?
Given fractions are 4421/418,4045/9532
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 4421/418,4045/9532, numerators are 4421,4045
Denominators are 418,9532
The GCF of 4421,4045 is 1 .
LCM of 418,9532 is 1992188.
The greatest common factor of 4421/418,4045/9532 = [GCF of 4421,4045]/[LCM of 418,9532]= 1/1992188
Therefore, the GCF of 4421/418,4045/9532 is 1/1992188.
To find the highest common factor of 4421,4045, we have to find the factors of both numbers and list the highest common factor.
The factors of 4421 are 1, 4421
The factors of 4045 are 1, 5, 809, 4045
The HCF of 4421,4045 is 1.
Lets's calculate GCF of 4421,4045
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4421,4045 By Matching Biggest Common Factor Method
Now, list down the factors of 4421
:1,4421
Now, list down the factors of 4045
:1,5,809,4045
Greatest Common Factor
We found the factors 4421,4045 . The biggest common factor number is the GCF number.
So the greatest common factor 4421,4045 is 1.
Lets's calculate LCM of 418,9532
| 2 | 418, 9532 |
| 209, 4766 |
∴ So the LCM of the given numbers is 2 x 209 x 4766 = 1992188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1992188
Therefore, the GCF of Fractions 4421/418,4045/9532 is 1/1992188
Least Common Multiple of 418,9532 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 418,9532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,9532) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,9532) x common factors =2 x 1 = 2
LCM(418,9532) = ( 418 × 9532 ) / 2
LCM(418,9532) = 3984376 / 2
LCM(418,9532) = 1992188
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FAQs on GCF of Fractions of 4421/418, 4045/9532
1. What is the HCF of 4421,4045?
The HCF of 4421,4045 is 1
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 4421/418, 4045/9532?
Answer: GCF of Numerators as per given numbers 4421/418, 4045/9532 is
GCF of Numerators i.e. for 4421,4045 is 1
LCM of denominators i.e. for 418,9532 is 1992188.
Thus, GCF of Fractions is 1/1992188.Finally, GCF of Fractions for 4421/418, 4045/9532 is 1/1992188.