Use our free GCF of Fractions Calculator tool to compute the GCF of 1905/153, 6350/1968 i.e 635/100368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1905/153, 6350/1968.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1905/153,6350/1968
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 1905/153,6350/1968, numerators are 1905,6350
Denominators are 153,1968
The GCF of 1905,6350 is 635 .
LCM of 153,1968 is 100368.
The greatest common factor of 1905/153,6350/1968 = [GCF of 1905,6350]/[LCM of 153,1968]= 635/100368
Therefore, the GCF of 1905/153,6350/1968 is 635/100368.
To find the highest common factor of 1905,6350, we have to find the factors of both numbers and list the highest common factor.
The factors of 1905 are 1, 3, 5, 15, 127, 381, 635, 1905
The factors of 6350 are 1, 2, 5, 10, 25, 50, 127, 254, 635, 1270, 3175, 6350
The HCF of 1905,6350 is 635.
Lets's calculate GCF of 1905,6350
5 | 1905, 6350 |
127 | 381, 1270 |
3, 10 |
∴ So the GCF of the given numbers is 5 x 127 = 635
Now, list down the factors of 1905
:1,3,5,15,127,381,635,1905
Now, list down the factors of 6350
:1,2,5,10,25,50,127,254,635,1270,3175,6350
Greatest Common Factor
We found the factors 1905,6350 . The biggest common factor number is the GCF number.
So the greatest common factor 1905,6350 is 635.
Lets's calculate LCM of 153,1968
3 | 153, 1968 |
51, 656 |
∴ So the LCM of the given numbers is 3 x 51 x 656 = 100368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 635/100368
Therefore, the GCF of Fractions 1905/153,6350/1968 is 635/100368
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 153,1968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,1968) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(153,1968) x common factors =3 x 1 = 3
LCM(153,1968) = ( 153 × 1968 ) / 3
LCM(153,1968) = 301104 / 3
LCM(153,1968) = 100368
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1905,6350?
The HCF of 1905,6350 is 635
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 1905/153, 6350/1968?
Answer: GCF of Numerators as per given numbers 1905/153, 6350/1968 is
GCF of Numerators i.e. for 1905,6350 is 635
LCM of denominators i.e. for 153,1968 is 100368.
Thus, GCF of Fractions is 635/100368.Finally, GCF of Fractions for 1905/153, 6350/1968 is 635/100368.