Use our free GCF of Fractions Calculator tool to compute the GCF of 3725/105, 3561/1194 i.e 1/41790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3725/105, 3561/1194.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3725/105,3561/1194
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 3725/105,3561/1194, numerators are 3725,3561
Denominators are 105,1194
The GCF of 3725,3561 is 1 .
LCM of 105,1194 is 41790.
The greatest common factor of 3725/105,3561/1194 = [GCF of 3725,3561]/[LCM of 105,1194]= 1/41790
Therefore, the GCF of 3725/105,3561/1194 is 1/41790.
To find the highest common factor of 3725,3561, we have to find the factors of both numbers and list the highest common factor.
The factors of 3725 are 1, 5, 25, 149, 745, 3725
The factors of 3561 are 1, 3, 1187, 3561
The HCF of 3725,3561 is 1.
Lets's calculate GCF of 3725,3561
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3725
:1,5,25,149,745,3725
Now, list down the factors of 3561
:1,3,1187,3561
Greatest Common Factor
We found the factors 3725,3561 . The biggest common factor number is the GCF number.
So the greatest common factor 3725,3561 is 1.
Lets's calculate LCM of 105,1194
3 | 105, 1194 |
35, 398 |
∴ So the LCM of the given numbers is 3 x 35 x 398 = 41790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41790
Therefore, the GCF of Fractions 3725/105,3561/1194 is 1/41790
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 105,1194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,1194) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(105,1194) x common factors =3 x 1 = 3
LCM(105,1194) = ( 105 × 1194 ) / 3
LCM(105,1194) = 125370 / 3
LCM(105,1194) = 41790
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3725,3561?
The HCF of 3725,3561 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 3725/105, 3561/1194?
Answer: GCF of Numerators as per given numbers 3725/105, 3561/1194 is
GCF of Numerators i.e. for 3725,3561 is 1
LCM of denominators i.e. for 105,1194 is 41790.
Thus, GCF of Fractions is 1/41790.Finally, GCF of Fractions for 3725/105, 3561/1194 is 1/41790.