GCF of 4453/362, 1460/9105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4453/362, 1460/9105 i.e 73/3296010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4453/362, 1460/9105.
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 4453/362,1460/9105?
Given fractions are 4453/362,1460/9105
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 4453/362,1460/9105, numerators are 4453,1460
Denominators are 362,9105
The GCF of 4453,1460 is 73 .
LCM of 362,9105 is 3296010.
The greatest common factor of 4453/362,1460/9105 = [GCF of 4453,1460]/[LCM of 362,9105]= 73/3296010
Therefore, the GCF of 4453/362,1460/9105 is 73/3296010.
To find the highest common factor of 4453,1460, we have to find the factors of both numbers and list the highest common factor.
The factors of 4453 are 1, 61, 73, 4453
The factors of 1460 are 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460
The HCF of 4453,1460 is 73.
Lets's calculate GCF of 4453,1460
| 73 | 4453, 1460 |
| 61, 20 |
∴ So the GCF of the given numbers is 73 = 73
Greatest Common Factor of 4453,1460 By Matching Biggest Common Factor Method
Now, list down the factors of 4453
:1,61,73,4453
Now, list down the factors of 1460
:1,2,4,5,10,20,73,146,292,365,730,1460
Greatest Common Factor
We found the factors 4453,1460 . The biggest common factor number is the GCF number.
So the greatest common factor 4453,1460 is 73.
Lets's calculate LCM of 362,9105
Given numbers has no common factors except 1. So, there LCM is their product i.e 3296010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 73/3296010
Therefore, the GCF of Fractions 4453/362,1460/9105 is 73/3296010
Least Common Multiple of 362,9105 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 362,9105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,9105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,9105) x common factors =1 x 1 = 1
LCM(362,9105) = ( 362 × 9105 ) / 1
LCM(362,9105) = 3296010 / 1
LCM(362,9105) = 3296010
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4453/362, 1460/9105
1. What is the HCF of 4453,1460?
The HCF of 4453,1460 is 73
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 4453/362, 1460/9105?
Answer: GCF of Numerators as per given numbers 4453/362, 1460/9105 is
GCF of Numerators i.e. for 4453,1460 is 73
LCM of denominators i.e. for 362,9105 is 3296010.
Thus, GCF of Fractions is 73/3296010.Finally, GCF of Fractions for 4453/362, 1460/9105 is 73/3296010.