GCF of 898/193, 9530/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 898/193, 9530/413 i.e 2/79709 easily. The following is the detailed procedure to determine the greatest common factor of fractions 898/193, 9530/413.
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 898/193,9530/413?
Given fractions are 898/193,9530/413
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 898/193,9530/413, numerators are 898,9530
Denominators are 193,413
The GCF of 898,9530 is 2 .
LCM of 193,413 is 79709.
The greatest common factor of 898/193,9530/413 = [GCF of 898,9530]/[LCM of 193,413]= 2/79709
Therefore, the GCF of 898/193,9530/413 is 2/79709.
To find the highest common factor of 898,9530, we have to find the factors of both numbers and list the highest common factor.
The factors of 898 are 1, 2, 449, 898
The factors of 9530 are 1, 2, 5, 10, 953, 1906, 4765, 9530
The HCF of 898,9530 is 2.
Lets's calculate GCF of 898,9530
| 2 | 898, 9530 |
| 449, 4765 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 898,9530 By Matching Biggest Common Factor Method
Now, list down the factors of 898
:1,2,449,898
Now, list down the factors of 9530
:1,2,5,10,953,1906,4765,9530
Greatest Common Factor
We found the factors 898,9530 . The biggest common factor number is the GCF number.
So the greatest common factor 898,9530 is 2.
Lets's calculate LCM of 193,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 79709
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/79709
Therefore, the GCF of Fractions 898/193,9530/413 is 2/79709
Least Common Multiple of 193,413 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 193,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,413) x common factors =1 x 1 = 1
LCM(193,413) = ( 193 × 413 ) / 1
LCM(193,413) = 79709 / 1
LCM(193,413) = 79709
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 898/193, 9530/413
1. What is the HCF of 898,9530?
The HCF of 898,9530 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 898/193, 9530/413?
Answer: GCF of Numerators as per given numbers 898/193, 9530/413 is
GCF of Numerators i.e. for 898,9530 is 2
LCM of denominators i.e. for 193,413 is 79709.
Thus, GCF of Fractions is 2/79709.Finally, GCF of Fractions for 898/193, 9530/413 is 2/79709.