Use our free GCF of Fractions Calculator tool to compute the GCF of 948/720, 656/180 i.e 4/720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 948/720, 656/180.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 948/720,656/180
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 948/720,656/180, numerators are 948,656
Denominators are 720,180
The GCF of 948,656 is 4 .
LCM of 720,180 is 720.
The greatest common factor of 948/720,656/180 = [GCF of 948,656]/[LCM of 720,180]= 4/720
Therefore, the GCF of 948/720,656/180 is 4/720.
To find the highest common factor of 948,656, we have to find the factors of both numbers and list the highest common factor.
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
The HCF of 948,656 is 4.
Lets's calculate GCF of 948,656
2 | 948, 656 |
2 | 474, 328 |
237, 164 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Now, list down the factors of 656
:1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 948,656 . The biggest common factor number is the GCF number.
So the greatest common factor 948,656 is 4.
Lets's calculate LCM of 720,180
2 | 720, 180 |
2 | 360, 90 |
3 | 180, 45 |
3 | 60, 15 |
5 | 20, 5 |
4, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 4 x 1 = 720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/720
Therefore, the GCF of Fractions 948/720,656/180 is 4/720
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 720,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,180) = 180
common factors(in case of two or more numbers have common factors) = 1
GCF(720,180) x common factors =180 x 1 = 180
LCM(720,180) = ( 720 × 180 ) / 180
LCM(720,180) = 129600 / 180
LCM(720,180) = 720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 948,656?
The HCF of 948,656 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 948/720, 656/180?
Answer: GCF of Numerators as per given numbers 948/720, 656/180 is
GCF of Numerators i.e. for 948,656 is 4
LCM of denominators i.e. for 720,180 is 720.
Thus, GCF of Fractions is 4/720.Finally, GCF of Fractions for 948/720, 656/180 is 4/720.