Use our free GCF of Fractions Calculator tool to compute the GCF of 1/17, 37/13, 24/383, 837/671 i.e 1/56795453 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/17, 37/13, 24/383, 837/671.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/17,37/13,24/383,837/671
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 1/17,37/13,24/383,837/671, numerators are 1,37,24,837
Denominators are 17,13,383,671
The GCF of 1,37,24,837 is 1 .
LCM of 17,13,383,671 is 56795453.
The greatest common factor of 1/17,37/13,24/383,837/671 = [GCF of 1,37,24,837]/[LCM of 17,13,383,671]= 1/56795453
Therefore, the GCF of 1/17,37/13,24/383,837/671 is 1/56795453.
To find the highest common factor of 1,37,24,837, we have to find the factors of both numbers and list the highest common factor.
The factors of 1 are 1
The factors of 37 are 1, 37
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837
The HCF of 1,37,24,837 is 1.
Lets's calculate GCF of 1,37,24,837
∴ 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 37
:1,37
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 837
:1,3,9,27,31,93,279,837
Greatest Common Factor
We found the factors 1,37,24,837 . The biggest common factor number is the GCF number.
So the greatest common factor 1,37,24,837 is 1.
Lets's calculate LCM of 17,13,383,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 56795453
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56795453
Therefore, the GCF of Fractions 1/17,37/13,24/383,837/671 is 1/56795453
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 17,13,383,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,13,383,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,13,383,671) x common factors =1 x 1 = 1
LCM(17,13,383,671) = ( 17 × 13 × 383 × 671 ) / 1
LCM(17,13,383,671) = 56795453 / 1
LCM(17,13,383,671) = 56795453
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1,37,24,837?
The HCF of 1,37,24,837 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 1/17, 37/13, 24/383, 837/671?
Answer: GCF of Numerators as per given numbers 1/17, 37/13, 24/383, 837/671 is
GCF of Numerators i.e. for 1,37,24,837 is 1
LCM of denominators i.e. for 17,13,383,671 is 56795453.
Thus, GCF of Fractions is 1/56795453.Finally, GCF of Fractions for 1/17, 37/13, 24/383, 837/671 is 1/56795453.