Use our free GCF of Fractions Calculator tool to compute the GCF of 69/62, 969/16, 444/974 i.e 3/241552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/62, 969/16, 444/974.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/62,969/16,444/974
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 69/62,969/16,444/974, numerators are 69,969,444
Denominators are 62,16,974
The GCF of 69,969,444 is 3 .
LCM of 62,16,974 is 241552.
The greatest common factor of 69/62,969/16,444/974 = [GCF of 69,969,444]/[LCM of 62,16,974]= 3/241552
Therefore, the GCF of 69/62,969/16,444/974 is 3/241552.
To find the highest common factor of 69,969,444, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The HCF of 69,969,444 is 3.
Lets's calculate GCF of 69,969,444
3 | 69, 969, 444 |
23, 323, 148 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 969
:1,3,17,19,51,57,323,969
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 69,969,444 . The biggest common factor number is the GCF number.
So the greatest common factor 69,969,444 is 3.
Lets's calculate LCM of 62,16,974
2 | 62, 16, 974 |
31, 8, 487 |
∴ So the LCM of the given numbers is 2 x 31 x 8 x 487 = 241552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/241552
Therefore, the GCF of Fractions 69/62,969/16,444/974 is 3/241552
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 62,16,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,16,974) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(62,16,974) x common factors =2 x 2 = 4
LCM(62,16,974) = ( 62 × 16 × 974 ) / 4
LCM(62,16,974) = 966208 / 4
LCM(62,16,974) = 241552
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,969,444?
The HCF of 69,969,444 is 3
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 69/62, 969/16, 444/974?
Answer: GCF of Numerators as per given numbers 69/62, 969/16, 444/974 is
GCF of Numerators i.e. for 69,969,444 is 3
LCM of denominators i.e. for 62,16,974 is 241552.
Thus, GCF of Fractions is 3/241552.Finally, GCF of Fractions for 69/62, 969/16, 444/974 is 3/241552.