Use our free GCF of Fractions Calculator tool to compute the GCF of 950/480, 588/546 i.e 2/43680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 950/480, 588/546.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 950/480,588/546
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 950/480,588/546, numerators are 950,588
Denominators are 480,546
The GCF of 950,588 is 2 .
LCM of 480,546 is 43680.
The greatest common factor of 950/480,588/546 = [GCF of 950,588]/[LCM of 480,546]= 2/43680
Therefore, the GCF of 950/480,588/546 is 2/43680.
To find the highest common factor of 950,588, we have to find the factors of both numbers and list the highest common factor.
The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
The factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
The HCF of 950,588 is 2.
Lets's calculate GCF of 950,588
2 | 950, 588 |
475, 294 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 950
:1,2,5,10,19,25,38,50,95,190,475,950
Now, list down the factors of 588
:1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Greatest Common Factor
We found the factors 950,588 . The biggest common factor number is the GCF number.
So the greatest common factor 950,588 is 2.
Lets's calculate LCM of 480,546
2 | 480, 546 |
3 | 240, 273 |
80, 91 |
∴ So the LCM of the given numbers is 2 x 3 x 80 x 91 = 43680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43680
Therefore, the GCF of Fractions 950/480,588/546 is 2/43680
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 480,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,546) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(480,546) x common factors =6 x 1 = 6
LCM(480,546) = ( 480 × 546 ) / 6
LCM(480,546) = 262080 / 6
LCM(480,546) = 43680
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 950,588?
The HCF of 950,588 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 950/480, 588/546?
Answer: GCF of Numerators as per given numbers 950/480, 588/546 is
GCF of Numerators i.e. for 950,588 is 2
LCM of denominators i.e. for 480,546 is 43680.
Thus, GCF of Fractions is 2/43680.Finally, GCF of Fractions for 950/480, 588/546 is 2/43680.