Use our free GCF of Fractions Calculator tool to compute the GCF of 1/80, 45/65, 56/364, 744/498 i.e 1/1812720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/80, 45/65, 56/364, 744/498.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/80,45/65,56/364,744/498
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 1/80,45/65,56/364,744/498, numerators are 1,45,56,744
Denominators are 80,65,364,498
The GCF of 1,45,56,744 is 1 .
LCM of 80,65,364,498 is 1812720.
The greatest common factor of 1/80,45/65,56/364,744/498 = [GCF of 1,45,56,744]/[LCM of 80,65,364,498]= 1/1812720
Therefore, the GCF of 1/80,45/65,56/364,744/498 is 1/1812720.
To find the highest common factor of 1,45,56,744, we have to find the factors of both numbers and list the highest common factor.
The factors of 1 are 1
The factors of 45 are 1, 3, 5, 9, 15, 45
The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
The HCF of 1,45,56,744 is 1.
Lets's calculate GCF of 1,45,56,744
∴ 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 45
:1,3,5,9,15,45
Now, list down the factors of 56
:1,2,4,7,8,14,28,56
Now, list down the factors of 744
:1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Greatest Common Factor
We found the factors 1,45,56,744 . The biggest common factor number is the GCF number.
So the greatest common factor 1,45,56,744 is 1.
Lets's calculate LCM of 80,65,364,498
2 | 80, 65, 364, 498 |
2 | 40, 65, 182, 249 |
5 | 20, 65, 91, 249 |
13 | 4, 13, 91, 249 |
4, 1, 7, 249 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 4 x 1 x 7 x 249 = 1812720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1812720
Therefore, the GCF of Fractions 1/80,45/65,56/364,744/498 is 1/1812720
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 80,65,364,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,65,364,498) = 1
common factors(in case of two or more numbers have common factors) = 520
GCF(80,65,364,498) x common factors =1 x 520 = 520
LCM(80,65,364,498) = ( 80 × 65 × 364 × 498 ) / 520
LCM(80,65,364,498) = 942614400 / 520
LCM(80,65,364,498) = 1812720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1,45,56,744?
The HCF of 1,45,56,744 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 1/80, 45/65, 56/364, 744/498?
Answer: GCF of Numerators as per given numbers 1/80, 45/65, 56/364, 744/498 is
GCF of Numerators i.e. for 1,45,56,744 is 1
LCM of denominators i.e. for 80,65,364,498 is 1812720.
Thus, GCF of Fractions is 1/1812720.Finally, GCF of Fractions for 1/80, 45/65, 56/364, 744/498 is 1/1812720.