Use our free GCF of Fractions Calculator tool to compute the GCF of 948/309, 182/709 i.e 2/219081 easily. The following is the detailed procedure to determine the greatest common factor of fractions 948/309, 182/709.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 948/309,182/709
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 948/309,182/709, numerators are 948,182
Denominators are 309,709
The GCF of 948,182 is 2 .
LCM of 309,709 is 219081.
The greatest common factor of 948/309,182/709 = [GCF of 948,182]/[LCM of 309,709]= 2/219081
Therefore, the GCF of 948/309,182/709 is 2/219081.
To find the highest common factor of 948,182, 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 182 are 1, 2, 7, 13, 14, 26, 91, 182
The HCF of 948,182 is 2.
Lets's calculate GCF of 948,182
2 | 948, 182 |
474, 91 |
∴ So the GCF of the given numbers is 2 = 2
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 182
:1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 948,182 . The biggest common factor number is the GCF number.
So the greatest common factor 948,182 is 2.
Lets's calculate LCM of 309,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 219081
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/219081
Therefore, the GCF of Fractions 948/309,182/709 is 2/219081
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 309,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,709) x common factors =1 x 1 = 1
LCM(309,709) = ( 309 × 709 ) / 1
LCM(309,709) = 219081 / 1
LCM(309,709) = 219081
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 948,182?
The HCF of 948,182 is 2
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 948/309, 182/709?
Answer: GCF of Numerators as per given numbers 948/309, 182/709 is
GCF of Numerators i.e. for 948,182 is 2
LCM of denominators i.e. for 309,709 is 219081.
Thus, GCF of Fractions is 2/219081.Finally, GCF of Fractions for 948/309, 182/709 is 2/219081.