GCF of 6389/432, 6712/4104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6389/432, 6712/4104 i.e 1/8208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6389/432, 6712/4104.
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 6389/432,6712/4104?
Given fractions are 6389/432,6712/4104
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 6389/432,6712/4104, numerators are 6389,6712
Denominators are 432,4104
The GCF of 6389,6712 is 1 .
LCM of 432,4104 is 8208.
The greatest common factor of 6389/432,6712/4104 = [GCF of 6389,6712]/[LCM of 432,4104]= 1/8208
Therefore, the GCF of 6389/432,6712/4104 is 1/8208.
To find the highest common factor of 6389,6712, we have to find the factors of both numbers and list the highest common factor.
The factors of 6389 are 1, 6389
The factors of 6712 are 1, 2, 4, 8, 839, 1678, 3356, 6712
The HCF of 6389,6712 is 1.
Lets's calculate GCF of 6389,6712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6389,6712 By Matching Biggest Common Factor Method
Now, list down the factors of 6389
:1,6389
Now, list down the factors of 6712
:1,2,4,8,839,1678,3356,6712
Greatest Common Factor
We found the factors 6389,6712 . The biggest common factor number is the GCF number.
So the greatest common factor 6389,6712 is 1.
Lets's calculate LCM of 432,4104
| 2 | 432, 4104 |
| 2 | 216, 2052 |
| 2 | 108, 1026 |
| 3 | 54, 513 |
| 3 | 18, 171 |
| 3 | 6, 57 |
| 2, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 2 x 19 = 8208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8208
Therefore, the GCF of Fractions 6389/432,6712/4104 is 1/8208
Least Common Multiple of 432,4104 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 432,4104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,4104) = 216
common factors(in case of two or more numbers have common factors) = 1
GCF(432,4104) x common factors =216 x 1 = 216
LCM(432,4104) = ( 432 × 4104 ) / 216
LCM(432,4104) = 1772928 / 216
LCM(432,4104) = 8208
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FAQs on GCF of Fractions of 6389/432, 6712/4104
1. What is the HCF of 6389,6712?
The HCF of 6389,6712 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 6389/432, 6712/4104?
Answer: GCF of Numerators as per given numbers 6389/432, 6712/4104 is
GCF of Numerators i.e. for 6389,6712 is 1
LCM of denominators i.e. for 432,4104 is 8208.
Thus, GCF of Fractions is 1/8208.Finally, GCF of Fractions for 6389/432, 6712/4104 is 1/8208.