Use our free GCF of Fractions Calculator tool to compute the GCF of 154/958, 649/657 i.e 11/629406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 154/958, 649/657.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 154/958,649/657
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 154/958,649/657, numerators are 154,649
Denominators are 958,657
The GCF of 154,649 is 11 .
LCM of 958,657 is 629406.
The greatest common factor of 154/958,649/657 = [GCF of 154,649]/[LCM of 958,657]= 11/629406
Therefore, the GCF of 154/958,649/657 is 11/629406.
To find the highest common factor of 154,649, we have to find the factors of both numbers and list the highest common factor.
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
The factors of 649 are 1, 11, 59, 649
The HCF of 154,649 is 11.
Lets's calculate GCF of 154,649
11 | 154, 649 |
14, 59 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
Now, list down the factors of 649
:1,11,59,649
Greatest Common Factor
We found the factors 154,649 . The biggest common factor number is the GCF number.
So the greatest common factor 154,649 is 11.
Lets's calculate LCM of 958,657
Given numbers has no common factors except 1. So, there LCM is their product i.e 629406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/629406
Therefore, the GCF of Fractions 154/958,649/657 is 11/629406
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 958,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(958,657) x common factors =1 x 1 = 1
LCM(958,657) = ( 958 × 657 ) / 1
LCM(958,657) = 629406 / 1
LCM(958,657) = 629406
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 154,649?
The HCF of 154,649 is 11
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 154/958, 649/657?
Answer: GCF of Numerators as per given numbers 154/958, 649/657 is
GCF of Numerators i.e. for 154,649 is 11
LCM of denominators i.e. for 958,657 is 629406.
Thus, GCF of Fractions is 11/629406.Finally, GCF of Fractions for 154/958, 649/657 is 11/629406.