Use our free GCF of Fractions Calculator tool to compute the GCF of 948/215, 180/735 i.e 12/31605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 948/215, 180/735.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 948/215,180/735
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 948/215,180/735, numerators are 948,180
Denominators are 215,735
The GCF of 948,180 is 12 .
LCM of 215,735 is 31605.
The greatest common factor of 948/215,180/735 = [GCF of 948,180]/[LCM of 215,735]= 12/31605
Therefore, the GCF of 948/215,180/735 is 12/31605.
To find the highest common factor of 948,180, 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 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
The HCF of 948,180 is 12.
Lets's calculate GCF of 948,180
2 | 948, 180 |
2 | 474, 90 |
3 | 237, 45 |
79, 15 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
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 180
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Greatest Common Factor
We found the factors 948,180 . The biggest common factor number is the GCF number.
So the greatest common factor 948,180 is 12.
Lets's calculate LCM of 215,735
5 | 215, 735 |
43, 147 |
∴ So the LCM of the given numbers is 5 x 43 x 147 = 31605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/31605
Therefore, the GCF of Fractions 948/215,180/735 is 12/31605
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 215,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,735) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(215,735) x common factors =5 x 1 = 5
LCM(215,735) = ( 215 × 735 ) / 5
LCM(215,735) = 158025 / 5
LCM(215,735) = 31605
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 948,180?
The HCF of 948,180 is 12
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 948/215, 180/735?
Answer: GCF of Numerators as per given numbers 948/215, 180/735 is
GCF of Numerators i.e. for 948,180 is 12
LCM of denominators i.e. for 215,735 is 31605.
Thus, GCF of Fractions is 12/31605.Finally, GCF of Fractions for 948/215, 180/735 is 12/31605.