GCF of 7852/198, 8230/2049
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7852/198, 8230/2049 i.e 2/135234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7852/198, 8230/2049.
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 7852/198,8230/2049?
Given fractions are 7852/198,8230/2049
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 7852/198,8230/2049, numerators are 7852,8230
Denominators are 198,2049
The GCF of 7852,8230 is 2 .
LCM of 198,2049 is 135234.
The greatest common factor of 7852/198,8230/2049 = [GCF of 7852,8230]/[LCM of 198,2049]= 2/135234
Therefore, the GCF of 7852/198,8230/2049 is 2/135234.
To find the highest common factor of 7852,8230, we have to find the factors of both numbers and list the highest common factor.
The factors of 7852 are 1, 2, 4, 13, 26, 52, 151, 302, 604, 1963, 3926, 7852
The factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230
The HCF of 7852,8230 is 2.
Lets's calculate GCF of 7852,8230
| 2 | 7852, 8230 |
| 3926, 4115 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7852,8230 By Matching Biggest Common Factor Method
Now, list down the factors of 7852
:1,2,4,13,26,52,151,302,604,1963,3926,7852
Now, list down the factors of 8230
:1,2,5,10,823,1646,4115,8230
Greatest Common Factor
We found the factors 7852,8230 . The biggest common factor number is the GCF number.
So the greatest common factor 7852,8230 is 2.
Lets's calculate LCM of 198,2049
| 3 | 198, 2049 |
| 66, 683 |
∴ So the LCM of the given numbers is 3 x 66 x 683 = 135234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/135234
Therefore, the GCF of Fractions 7852/198,8230/2049 is 2/135234
Least Common Multiple of 198,2049 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 198,2049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,2049) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(198,2049) x common factors =3 x 1 = 3
LCM(198,2049) = ( 198 × 2049 ) / 3
LCM(198,2049) = 405702 / 3
LCM(198,2049) = 135234
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FAQs on GCF of Fractions of 7852/198, 8230/2049
1. What is the HCF of 7852,8230?
The HCF of 7852,8230 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 7852/198, 8230/2049?
Answer: GCF of Numerators as per given numbers 7852/198, 8230/2049 is
GCF of Numerators i.e. for 7852,8230 is 2
LCM of denominators i.e. for 198,2049 is 135234.
Thus, GCF of Fractions is 2/135234.Finally, GCF of Fractions for 7852/198, 8230/2049 is 2/135234.