GCF of 788/378, 5172/6423
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 788/378, 5172/6423 i.e 4/809298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 788/378, 5172/6423.
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 788/378,5172/6423?
Given fractions are 788/378,5172/6423
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 788/378,5172/6423, numerators are 788,5172
Denominators are 378,6423
The GCF of 788,5172 is 4 .
LCM of 378,6423 is 809298.
The greatest common factor of 788/378,5172/6423 = [GCF of 788,5172]/[LCM of 378,6423]= 4/809298
Therefore, the GCF of 788/378,5172/6423 is 4/809298.
To find the highest common factor of 788,5172, we have to find the factors of both numbers and list the highest common factor.
The factors of 788 are 1, 2, 4, 197, 394, 788
The factors of 5172 are 1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172
The HCF of 788,5172 is 4.
Lets's calculate GCF of 788,5172
| 2 | 788, 5172 |
| 2 | 394, 2586 |
| 197, 1293 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 788,5172 By Matching Biggest Common Factor Method
Now, list down the factors of 788
:1,2,4,197,394,788
Now, list down the factors of 5172
:1,2,3,4,6,12,431,862,1293,1724,2586,5172
Greatest Common Factor
We found the factors 788,5172 . The biggest common factor number is the GCF number.
So the greatest common factor 788,5172 is 4.
Lets's calculate LCM of 378,6423
| 3 | 378, 6423 |
| 126, 2141 |
∴ So the LCM of the given numbers is 3 x 126 x 2141 = 809298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/809298
Therefore, the GCF of Fractions 788/378,5172/6423 is 4/809298
Least Common Multiple of 378,6423 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 378,6423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,6423) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(378,6423) x common factors =3 x 1 = 3
LCM(378,6423) = ( 378 × 6423 ) / 3
LCM(378,6423) = 2427894 / 3
LCM(378,6423) = 809298
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FAQs on GCF of Fractions of 788/378, 5172/6423
1. What is the HCF of 788,5172?
The HCF of 788,5172 is 4
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 788/378, 5172/6423?
Answer: GCF of Numerators as per given numbers 788/378, 5172/6423 is
GCF of Numerators i.e. for 788,5172 is 4
LCM of denominators i.e. for 378,6423 is 809298.
Thus, GCF of Fractions is 4/809298.Finally, GCF of Fractions for 788/378, 5172/6423 is 4/809298.