Use our free GCF of Fractions Calculator tool to compute the GCF of 8/44, 57/80, 55/265, 434/672 i.e 1/1958880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/44, 57/80, 55/265, 434/672.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/44,57/80,55/265,434/672
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 8/44,57/80,55/265,434/672, numerators are 8,57,55,434
Denominators are 44,80,265,672
The GCF of 8,57,55,434 is 1 .
LCM of 44,80,265,672 is 1958880.
The greatest common factor of 8/44,57/80,55/265,434/672 = [GCF of 8,57,55,434]/[LCM of 44,80,265,672]= 1/1958880
Therefore, the GCF of 8/44,57/80,55/265,434/672 is 1/1958880.
To find the highest common factor of 8,57,55,434, we have to find the factors of both numbers and list the highest common factor.
The factors of 8 are 1, 2, 4, 8
The factors of 57 are 1, 3, 19, 57
The factors of 55 are 1, 5, 11, 55
The factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434
The HCF of 8,57,55,434 is 1.
Lets's calculate GCF of 8,57,55,434
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 57
:1,3,19,57
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 434
:1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 8,57,55,434 . The biggest common factor number is the GCF number.
So the greatest common factor 8,57,55,434 is 1.
Lets's calculate LCM of 44,80,265,672
2 | 44, 80, 265, 672 |
2 | 22, 40, 265, 336 |
2 | 11, 20, 265, 168 |
2 | 11, 10, 265, 84 |
5 | 11, 5, 265, 42 |
11, 1, 53, 42 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 11 x 1 x 53 x 42 = 1958880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1958880
Therefore, the GCF of Fractions 8/44,57/80,55/265,434/672 is 1/1958880
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 44,80,265,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,80,265,672) = 1
common factors(in case of two or more numbers have common factors) = 320
GCF(44,80,265,672) x common factors =1 x 320 = 320
LCM(44,80,265,672) = ( 44 × 80 × 265 × 672 ) / 320
LCM(44,80,265,672) = 626841600 / 320
LCM(44,80,265,672) = 1958880
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8,57,55,434?
The HCF of 8,57,55,434 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 8/44, 57/80, 55/265, 434/672?
Answer: GCF of Numerators as per given numbers 8/44, 57/80, 55/265, 434/672 is
GCF of Numerators i.e. for 8,57,55,434 is 1
LCM of denominators i.e. for 44,80,265,672 is 1958880.
Thus, GCF of Fractions is 1/1958880.Finally, GCF of Fractions for 8/44, 57/80, 55/265, 434/672 is 1/1958880.