Use our free GCF of Fractions Calculator tool to compute the GCF of 360/394, 953/837 i.e 1/329778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 360/394, 953/837.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 360/394,953/837
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 360/394,953/837, numerators are 360,953
Denominators are 394,837
The GCF of 360,953 is 1 .
LCM of 394,837 is 329778.
The greatest common factor of 360/394,953/837 = [GCF of 360,953]/[LCM of 394,837]= 1/329778
Therefore, the GCF of 360/394,953/837 is 1/329778.
To find the highest common factor of 360,953, we have to find the factors of both numbers and list the highest common factor.
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The factors of 953 are 1, 953
The HCF of 360,953 is 1.
Lets's calculate GCF of 360,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Now, list down the factors of 953
:1,953
Greatest Common Factor
We found the factors 360,953 . The biggest common factor number is the GCF number.
So the greatest common factor 360,953 is 1.
Lets's calculate LCM of 394,837
Given numbers has no common factors except 1. So, there LCM is their product i.e 329778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329778
Therefore, the GCF of Fractions 360/394,953/837 is 1/329778
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 394,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(394,837) x common factors =1 x 1 = 1
LCM(394,837) = ( 394 × 837 ) / 1
LCM(394,837) = 329778 / 1
LCM(394,837) = 329778
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 360,953?
The HCF of 360,953 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 360/394, 953/837?
Answer: GCF of Numerators as per given numbers 360/394, 953/837 is
GCF of Numerators i.e. for 360,953 is 1
LCM of denominators i.e. for 394,837 is 329778.
Thus, GCF of Fractions is 1/329778.Finally, GCF of Fractions for 360/394, 953/837 is 1/329778.