Use our free GCF of Fractions Calculator tool to compute the GCF of 1/54, 50/31, 64/634, 116/837 i.e 1/530658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/54, 50/31, 64/634, 116/837.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/54,50/31,64/634,116/837
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 1/54,50/31,64/634,116/837, numerators are 1,50,64,116
Denominators are 54,31,634,837
The GCF of 1,50,64,116 is 1 .
LCM of 54,31,634,837 is 530658.
The greatest common factor of 1/54,50/31,64/634,116/837 = [GCF of 1,50,64,116]/[LCM of 54,31,634,837]= 1/530658
Therefore, the GCF of 1/54,50/31,64/634,116/837 is 1/530658.
To find the highest common factor of 1,50,64,116, we have to find the factors of both numbers and list the highest common factor.
The factors of 1 are 1
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 116 are 1, 2, 4, 29, 58, 116
The HCF of 1,50,64,116 is 1.
Lets's calculate GCF of 1,50,64,116
∴ 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 50
:1,2,5,10,25,50
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 116
:1,2,4,29,58,116
Greatest Common Factor
We found the factors 1,50,64,116 . The biggest common factor number is the GCF number.
So the greatest common factor 1,50,64,116 is 1.
Lets's calculate LCM of 54,31,634,837
2 | 54, 31, 634, 837 |
3 | 27, 31, 317, 837 |
3 | 9, 31, 317, 279 |
3 | 3, 31, 317, 93 |
31 | 1, 31, 317, 31 |
1, 1, 317, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 31 x 1 x 1 x 317 x 1 = 530658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/530658
Therefore, the GCF of Fractions 1/54,50/31,64/634,116/837 is 1/530658
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 54,31,634,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,31,634,837) = 1
common factors(in case of two or more numbers have common factors) = 1674
GCF(54,31,634,837) x common factors =1 x 1674 = 1674
LCM(54,31,634,837) = ( 54 × 31 × 634 × 837 ) / 1674
LCM(54,31,634,837) = 888321492 / 1674
LCM(54,31,634,837) = 530658
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1,50,64,116?
The HCF of 1,50,64,116 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 1/54, 50/31, 64/634, 116/837?
Answer: GCF of Numerators as per given numbers 1/54, 50/31, 64/634, 116/837 is
GCF of Numerators i.e. for 1,50,64,116 is 1
LCM of denominators i.e. for 54,31,634,837 is 530658.
Thus, GCF of Fractions is 1/530658.Finally, GCF of Fractions for 1/54, 50/31, 64/634, 116/837 is 1/530658.