GCF of 6255/441, 6194/7671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6255/441, 6194/7671 i.e 1/1127637 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6255/441, 6194/7671.
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 6255/441,6194/7671?
Given fractions are 6255/441,6194/7671
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 6255/441,6194/7671, numerators are 6255,6194
Denominators are 441,7671
The GCF of 6255,6194 is 1 .
LCM of 441,7671 is 1127637.
The greatest common factor of 6255/441,6194/7671 = [GCF of 6255,6194]/[LCM of 441,7671]= 1/1127637
Therefore, the GCF of 6255/441,6194/7671 is 1/1127637.
To find the highest common factor of 6255,6194, we have to find the factors of both numbers and list the highest common factor.
The factors of 6255 are 1, 3, 5, 9, 15, 45, 139, 417, 695, 1251, 2085, 6255
The factors of 6194 are 1, 2, 19, 38, 163, 326, 3097, 6194
The HCF of 6255,6194 is 1.
Lets's calculate GCF of 6255,6194
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6255,6194 By Matching Biggest Common Factor Method
Now, list down the factors of 6255
:1,3,5,9,15,45,139,417,695,1251,2085,6255
Now, list down the factors of 6194
:1,2,19,38,163,326,3097,6194
Greatest Common Factor
We found the factors 6255,6194 . The biggest common factor number is the GCF number.
So the greatest common factor 6255,6194 is 1.
Lets's calculate LCM of 441,7671
| 3 | 441, 7671 |
| 147, 2557 |
∴ So the LCM of the given numbers is 3 x 147 x 2557 = 1127637
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1127637
Therefore, the GCF of Fractions 6255/441,6194/7671 is 1/1127637
Least Common Multiple of 441,7671 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 441,7671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,7671) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(441,7671) x common factors =3 x 1 = 3
LCM(441,7671) = ( 441 × 7671 ) / 3
LCM(441,7671) = 3382911 / 3
LCM(441,7671) = 1127637
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FAQs on GCF of Fractions of 6255/441, 6194/7671
1. What is the HCF of 6255,6194?
The HCF of 6255,6194 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 6255/441, 6194/7671?
Answer: GCF of Numerators as per given numbers 6255/441, 6194/7671 is
GCF of Numerators i.e. for 6255,6194 is 1
LCM of denominators i.e. for 441,7671 is 1127637.
Thus, GCF of Fractions is 1/1127637.Finally, GCF of Fractions for 6255/441, 6194/7671 is 1/1127637.