Use our free GCF of Fractions Calculator tool to compute the GCF of 72/308, 85/782, 909/566 i.e 1/34081124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/308, 85/782, 909/566.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/308,85/782,909/566
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 72/308,85/782,909/566, numerators are 72,85,909
Denominators are 308,782,566
The GCF of 72,85,909 is 1 .
LCM of 308,782,566 is 34081124.
The greatest common factor of 72/308,85/782,909/566 = [GCF of 72,85,909]/[LCM of 308,782,566]= 1/34081124
Therefore, the GCF of 72/308,85/782,909/566 is 1/34081124.
To find the highest common factor of 72,85,909, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 85 are 1, 5, 17, 85
The factors of 909 are 1, 3, 9, 101, 303, 909
The HCF of 72,85,909 is 1.
Lets's calculate GCF of 72,85,909
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 909
:1,3,9,101,303,909
Greatest Common Factor
We found the factors 72,85,909 . The biggest common factor number is the GCF number.
So the greatest common factor 72,85,909 is 1.
Lets's calculate LCM of 308,782,566
2 | 308, 782, 566 |
154, 391, 283 |
∴ So the LCM of the given numbers is 2 x 154 x 391 x 283 = 34081124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34081124
Therefore, the GCF of Fractions 72/308,85/782,909/566 is 1/34081124
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 308,782,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,782,566) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(308,782,566) x common factors =2 x 2 = 4
LCM(308,782,566) = ( 308 × 782 × 566 ) / 4
LCM(308,782,566) = 136324496 / 4
LCM(308,782,566) = 34081124
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 72,85,909?
The HCF of 72,85,909 is 1
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 72/308, 85/782, 909/566?
Answer: GCF of Numerators as per given numbers 72/308, 85/782, 909/566 is
GCF of Numerators i.e. for 72,85,909 is 1
LCM of denominators i.e. for 308,782,566 is 34081124.
Thus, GCF of Fractions is 1/34081124.Finally, GCF of Fractions for 72/308, 85/782, 909/566 is 1/34081124.