Use our free GCF of Fractions Calculator tool to compute the GCF of 128/953, 874/104 i.e 2/99112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 128/953, 874/104.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 128/953,874/104
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 128/953,874/104, numerators are 128,874
Denominators are 953,104
The GCF of 128,874 is 2 .
LCM of 953,104 is 99112.
The greatest common factor of 128/953,874/104 = [GCF of 128,874]/[LCM of 953,104]= 2/99112
Therefore, the GCF of 128/953,874/104 is 2/99112.
To find the highest common factor of 128,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 128,874 is 2.
Lets's calculate GCF of 128,874
2 | 128, 874 |
64, 437 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 128
:1,2,4,8,16,32,64,128
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 128,874 . The biggest common factor number is the GCF number.
So the greatest common factor 128,874 is 2.
Lets's calculate LCM of 953,104
Given numbers has no common factors except 1. So, there LCM is their product i.e 99112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/99112
Therefore, the GCF of Fractions 128/953,874/104 is 2/99112
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 953,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,104) x common factors =1 x 1 = 1
LCM(953,104) = ( 953 × 104 ) / 1
LCM(953,104) = 99112 / 1
LCM(953,104) = 99112
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 128,874?
The HCF of 128,874 is 2
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 128/953, 874/104?
Answer: GCF of Numerators as per given numbers 128/953, 874/104 is
GCF of Numerators i.e. for 128,874 is 2
LCM of denominators i.e. for 953,104 is 99112.
Thus, GCF of Fractions is 2/99112.Finally, GCF of Fractions for 128/953, 874/104 is 2/99112.