Use our free GCF of Fractions Calculator tool to compute the GCF of 1/55, 16/90, 51/122, 657/397 i.e 1/23974830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/55, 16/90, 51/122, 657/397.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/55,16/90,51/122,657/397
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 1/55,16/90,51/122,657/397, numerators are 1,16,51,657
Denominators are 55,90,122,397
The GCF of 1,16,51,657 is 1 .
LCM of 55,90,122,397 is 23974830.
The greatest common factor of 1/55,16/90,51/122,657/397 = [GCF of 1,16,51,657]/[LCM of 55,90,122,397]= 1/23974830
Therefore, the GCF of 1/55,16/90,51/122,657/397 is 1/23974830.
To find the highest common factor of 1,16,51,657, we have to find the factors of both numbers and list the highest common factor.
The factors of 1 are 1
The factors of 16 are 1, 2, 4, 8, 16
The factors of 51 are 1, 3, 17, 51
The factors of 657 are 1, 3, 9, 73, 219, 657
The HCF of 1,16,51,657 is 1.
Lets's calculate GCF of 1,16,51,657
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1
:1
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 51
:1,3,17,51
Now, list down the factors of 657
:1,3,9,73,219,657
Greatest Common Factor
We found the factors 1,16,51,657 . The biggest common factor number is the GCF number.
So the greatest common factor 1,16,51,657 is 1.
Lets's calculate LCM of 55,90,122,397
2 | 55, 90, 122, 397 |
5 | 55, 45, 61, 397 |
11, 9, 61, 397 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 9 x 61 x 397 = 23974830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23974830
Therefore, the GCF of Fractions 1/55,16/90,51/122,657/397 is 1/23974830
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 55,90,122,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,90,122,397) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(55,90,122,397) x common factors =1 x 10 = 10
LCM(55,90,122,397) = ( 55 × 90 × 122 × 397 ) / 10
LCM(55,90,122,397) = 239748300 / 10
LCM(55,90,122,397) = 23974830
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1,16,51,657?
The HCF of 1,16,51,657 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 1/55, 16/90, 51/122, 657/397?
Answer: GCF of Numerators as per given numbers 1/55, 16/90, 51/122, 657/397 is
GCF of Numerators i.e. for 1,16,51,657 is 1
LCM of denominators i.e. for 55,90,122,397 is 23974830.
Thus, GCF of Fractions is 1/23974830.Finally, GCF of Fractions for 1/55, 16/90, 51/122, 657/397 is 1/23974830.