GCF of 9851/446, 6258/1738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9851/446, 6258/1738 i.e 1/387574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9851/446, 6258/1738.
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 9851/446,6258/1738?
Given fractions are 9851/446,6258/1738
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 9851/446,6258/1738, numerators are 9851,6258
Denominators are 446,1738
The GCF of 9851,6258 is 1 .
LCM of 446,1738 is 387574.
The greatest common factor of 9851/446,6258/1738 = [GCF of 9851,6258]/[LCM of 446,1738]= 1/387574
Therefore, the GCF of 9851/446,6258/1738 is 1/387574.
To find the highest common factor of 9851,6258, we have to find the factors of both numbers and list the highest common factor.
The factors of 9851 are 1, 9851
The factors of 6258 are 1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258
The HCF of 9851,6258 is 1.
Lets's calculate GCF of 9851,6258
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9851,6258 By Matching Biggest Common Factor Method
Now, list down the factors of 9851
:1,9851
Now, list down the factors of 6258
:1,2,3,6,7,14,21,42,149,298,447,894,1043,2086,3129,6258
Greatest Common Factor
We found the factors 9851,6258 . The biggest common factor number is the GCF number.
So the greatest common factor 9851,6258 is 1.
Lets's calculate LCM of 446,1738
| 2 | 446, 1738 |
| 223, 869 |
∴ So the LCM of the given numbers is 2 x 223 x 869 = 387574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387574
Therefore, the GCF of Fractions 9851/446,6258/1738 is 1/387574
Least Common Multiple of 446,1738 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 446,1738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,1738) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,1738) x common factors =2 x 1 = 2
LCM(446,1738) = ( 446 × 1738 ) / 2
LCM(446,1738) = 775148 / 2
LCM(446,1738) = 387574
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9851/446, 6258/1738
1. What is the HCF of 9851,6258?
The HCF of 9851,6258 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 9851/446, 6258/1738?
Answer: GCF of Numerators as per given numbers 9851/446, 6258/1738 is
GCF of Numerators i.e. for 9851,6258 is 1
LCM of denominators i.e. for 446,1738 is 387574.
Thus, GCF of Fractions is 1/387574.Finally, GCF of Fractions for 9851/446, 6258/1738 is 1/387574.