GCF of 3948/468, 3193/6234
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3948/468, 3193/6234 i.e 1/486252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3948/468, 3193/6234.
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 3948/468,3193/6234?
Given fractions are 3948/468,3193/6234
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 3948/468,3193/6234, numerators are 3948,3193
Denominators are 468,6234
The GCF of 3948,3193 is 1 .
LCM of 468,6234 is 486252.
The greatest common factor of 3948/468,3193/6234 = [GCF of 3948,3193]/[LCM of 468,6234]= 1/486252
Therefore, the GCF of 3948/468,3193/6234 is 1/486252.
To find the highest common factor of 3948,3193, we have to find the factors of both numbers and list the highest common factor.
The factors of 3948 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948
The factors of 3193 are 1, 31, 103, 3193
The HCF of 3948,3193 is 1.
Lets's calculate GCF of 3948,3193
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3948,3193 By Matching Biggest Common Factor Method
Now, list down the factors of 3948
:1,2,3,4,6,7,12,14,21,28,42,47,84,94,141,188,282,329,564,658,987,1316,1974,3948
Now, list down the factors of 3193
:1,31,103,3193
Greatest Common Factor
We found the factors 3948,3193 . The biggest common factor number is the GCF number.
So the greatest common factor 3948,3193 is 1.
Lets's calculate LCM of 468,6234
| 2 | 468, 6234 |
| 3 | 234, 3117 |
| 78, 1039 |
∴ So the LCM of the given numbers is 2 x 3 x 78 x 1039 = 486252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/486252
Therefore, the GCF of Fractions 3948/468,3193/6234 is 1/486252
Least Common Multiple of 468,6234 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 468,6234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,6234) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(468,6234) x common factors =6 x 1 = 6
LCM(468,6234) = ( 468 × 6234 ) / 6
LCM(468,6234) = 2917512 / 6
LCM(468,6234) = 486252
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FAQs on GCF of Fractions of 3948/468, 3193/6234
1. What is the HCF of 3948,3193?
The HCF of 3948,3193 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 3948/468, 3193/6234?
Answer: GCF of Numerators as per given numbers 3948/468, 3193/6234 is
GCF of Numerators i.e. for 3948,3193 is 1
LCM of denominators i.e. for 468,6234 is 486252.
Thus, GCF of Fractions is 1/486252.Finally, GCF of Fractions for 3948/468, 3193/6234 is 1/486252.