Use our free GCF of Fractions Calculator tool to compute the GCF of 3755/975, 4258/105 i.e 1/6825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3755/975, 4258/105.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3755/975,4258/105
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 3755/975,4258/105, numerators are 3755,4258
Denominators are 975,105
The GCF of 3755,4258 is 1 .
LCM of 975,105 is 6825.
The greatest common factor of 3755/975,4258/105 = [GCF of 3755,4258]/[LCM of 975,105]= 1/6825
Therefore, the GCF of 3755/975,4258/105 is 1/6825.
To find the highest common factor of 3755,4258, we have to find the factors of both numbers and list the highest common factor.
The factors of 3755 are 1, 5, 751, 3755
The factors of 4258 are 1, 2, 2129, 4258
The HCF of 3755,4258 is 1.
Lets's calculate GCF of 3755,4258
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3755
:1,5,751,3755
Now, list down the factors of 4258
:1,2,2129,4258
Greatest Common Factor
We found the factors 3755,4258 . The biggest common factor number is the GCF number.
So the greatest common factor 3755,4258 is 1.
Lets's calculate LCM of 975,105
3 | 975, 105 |
5 | 325, 35 |
65, 7 |
∴ So the LCM of the given numbers is 3 x 5 x 65 x 7 = 6825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6825
Therefore, the GCF of Fractions 3755/975,4258/105 is 1/6825
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 975,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,105) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(975,105) x common factors =15 x 1 = 15
LCM(975,105) = ( 975 × 105 ) / 15
LCM(975,105) = 102375 / 15
LCM(975,105) = 6825
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3755,4258?
The HCF of 3755,4258 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 3755/975, 4258/105?
Answer: GCF of Numerators as per given numbers 3755/975, 4258/105 is
GCF of Numerators i.e. for 3755,4258 is 1
LCM of denominators i.e. for 975,105 is 6825.
Thus, GCF of Fractions is 1/6825.Finally, GCF of Fractions for 3755/975, 4258/105 is 1/6825.