Use our free GCF of Fractions Calculator tool to compute the GCF of 236/932, 360/289 i.e 4/269348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 236/932, 360/289.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 236/932,360/289
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 236/932,360/289, numerators are 236,360
Denominators are 932,289
The GCF of 236,360 is 4 .
LCM of 932,289 is 269348.
The greatest common factor of 236/932,360/289 = [GCF of 236,360]/[LCM of 932,289]= 4/269348
Therefore, the GCF of 236/932,360/289 is 4/269348.
To find the highest common factor of 236,360, we have to find the factors of both numbers and list the highest common factor.
The factors of 236 are 1, 2, 4, 59, 118, 236
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 HCF of 236,360 is 4.
Lets's calculate GCF of 236,360
2 | 236, 360 |
2 | 118, 180 |
59, 90 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 236
:1,2,4,59,118,236
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
Greatest Common Factor
We found the factors 236,360 . The biggest common factor number is the GCF number.
So the greatest common factor 236,360 is 4.
Lets's calculate LCM of 932,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 269348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/269348
Therefore, the GCF of Fractions 236/932,360/289 is 4/269348
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 932,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(932,289) x common factors =1 x 1 = 1
LCM(932,289) = ( 932 × 289 ) / 1
LCM(932,289) = 269348 / 1
LCM(932,289) = 269348
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 236,360?
The HCF of 236,360 is 4
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 236/932, 360/289?
Answer: GCF of Numerators as per given numbers 236/932, 360/289 is
GCF of Numerators i.e. for 236,360 is 4
LCM of denominators i.e. for 932,289 is 269348.
Thus, GCF of Fractions is 4/269348.Finally, GCF of Fractions for 236/932, 360/289 is 4/269348.