Use our free GCF of Fractions Calculator tool to compute the GCF of 975/102, 124/958 i.e 1/48858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 975/102, 124/958.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 975/102,124/958
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 975/102,124/958, numerators are 975,124
Denominators are 102,958
The GCF of 975,124 is 1 .
LCM of 102,958 is 48858.
The greatest common factor of 975/102,124/958 = [GCF of 975,124]/[LCM of 102,958]= 1/48858
Therefore, the GCF of 975/102,124/958 is 1/48858.
To find the highest common factor of 975,124, we have to find the factors of both numbers and list the highest common factor.
The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The factors of 124 are 1, 2, 4, 31, 62, 124
The HCF of 975,124 is 1.
Lets's calculate GCF of 975,124
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 975
:1,3,5,13,15,25,39,65,75,195,325,975
Now, list down the factors of 124
:1,2,4,31,62,124
Greatest Common Factor
We found the factors 975,124 . The biggest common factor number is the GCF number.
So the greatest common factor 975,124 is 1.
Lets's calculate LCM of 102,958
2 | 102, 958 |
51, 479 |
∴ So the LCM of the given numbers is 2 x 51 x 479 = 48858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48858
Therefore, the GCF of Fractions 975/102,124/958 is 1/48858
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 102,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,958) x common factors =2 x 1 = 2
LCM(102,958) = ( 102 × 958 ) / 2
LCM(102,958) = 97716 / 2
LCM(102,958) = 48858
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 975,124?
The HCF of 975,124 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 975/102, 124/958?
Answer: GCF of Numerators as per given numbers 975/102, 124/958 is
GCF of Numerators i.e. for 975,124 is 1
LCM of denominators i.e. for 102,958 is 48858.
Thus, GCF of Fractions is 1/48858.Finally, GCF of Fractions for 975/102, 124/958 is 1/48858.