Use our free GCF of Fractions Calculator tool to compute the GCF of 28/137, 37/519, 438/370 i.e 1/26308110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/137, 37/519, 438/370.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/137,37/519,438/370
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 28/137,37/519,438/370, numerators are 28,37,438
Denominators are 137,519,370
The GCF of 28,37,438 is 1 .
LCM of 137,519,370 is 26308110.
The greatest common factor of 28/137,37/519,438/370 = [GCF of 28,37,438]/[LCM of 137,519,370]= 1/26308110
Therefore, the GCF of 28/137,37/519,438/370 is 1/26308110.
To find the highest common factor of 28,37,438, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 37 are 1, 37
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438
The HCF of 28,37,438 is 1.
Lets's calculate GCF of 28,37,438
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 37
:1,37
Now, list down the factors of 438
:1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 28,37,438 . The biggest common factor number is the GCF number.
So the greatest common factor 28,37,438 is 1.
Lets's calculate LCM of 137,519,370
Given numbers has no common factors except 1. So, there LCM is their product i.e 26308110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26308110
Therefore, the GCF of Fractions 28/137,37/519,438/370 is 1/26308110
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 137,519,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,519,370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,519,370) x common factors =1 x 1 = 1
LCM(137,519,370) = ( 137 × 519 × 370 ) / 1
LCM(137,519,370) = 26308110 / 1
LCM(137,519,370) = 26308110
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 28,37,438?
The HCF of 28,37,438 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 28/137, 37/519, 438/370?
Answer: GCF of Numerators as per given numbers 28/137, 37/519, 438/370 is
GCF of Numerators i.e. for 28,37,438 is 1
LCM of denominators i.e. for 137,519,370 is 26308110.
Thus, GCF of Fractions is 1/26308110.Finally, GCF of Fractions for 28/137, 37/519, 438/370 is 1/26308110.