Use our free GCF of Fractions Calculator tool to compute the GCF of 23/38, 880/76, 572/460 i.e 1/8740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/38, 880/76, 572/460.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/38,880/76,572/460
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 23/38,880/76,572/460, numerators are 23,880,572
Denominators are 38,76,460
The GCF of 23,880,572 is 1 .
LCM of 38,76,460 is 8740.
The greatest common factor of 23/38,880/76,572/460 = [GCF of 23,880,572]/[LCM of 38,76,460]= 1/8740
Therefore, the GCF of 23/38,880/76,572/460 is 1/8740.
To find the highest common factor of 23,880,572, we have to find the factors of both numbers and list the highest common factor.
The factors of 23 are 1, 23
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
The HCF of 23,880,572 is 1.
Lets's calculate GCF of 23,880,572
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 23
:1,23
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Now, list down the factors of 572
:1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 23,880,572 . The biggest common factor number is the GCF number.
So the greatest common factor 23,880,572 is 1.
Lets's calculate LCM of 38,76,460
2 | 38, 76, 460 |
2 | 19, 38, 230 |
19 | 19, 19, 115 |
1, 1, 115 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 1 x 1 x 115 = 8740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8740
Therefore, the GCF of Fractions 23/38,880/76,572/460 is 1/8740
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 38,76,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,76,460) = 2
common factors(in case of two or more numbers have common factors) = 76
GCF(38,76,460) x common factors =2 x 76 = 152
LCM(38,76,460) = ( 38 × 76 × 460 ) / 152
LCM(38,76,460) = 1328480 / 152
LCM(38,76,460) = 8740
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 23,880,572?
The HCF of 23,880,572 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 23/38, 880/76, 572/460?
Answer: GCF of Numerators as per given numbers 23/38, 880/76, 572/460 is
GCF of Numerators i.e. for 23,880,572 is 1
LCM of denominators i.e. for 38,76,460 is 8740.
Thus, GCF of Fractions is 1/8740.Finally, GCF of Fractions for 23/38, 880/76, 572/460 is 1/8740.