Use our free GCF of Fractions Calculator tool to compute the GCF of 23/92, 521/22, 283/620 i.e 1/156860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/92, 521/22, 283/620.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/92,521/22,283/620
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 23/92,521/22,283/620, numerators are 23,521,283
Denominators are 92,22,620
The GCF of 23,521,283 is 1 .
LCM of 92,22,620 is 156860.
The greatest common factor of 23/92,521/22,283/620 = [GCF of 23,521,283]/[LCM of 92,22,620]= 1/156860
Therefore, the GCF of 23/92,521/22,283/620 is 1/156860.
To find the highest common factor of 23,521,283, 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 521 are 1, 521
The factors of 283 are 1, 283
The HCF of 23,521,283 is 1.
Lets's calculate GCF of 23,521,283
∴ 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 521
:1,521
Now, list down the factors of 283
:1,283
Greatest Common Factor
We found the factors 23,521,283 . The biggest common factor number is the GCF number.
So the greatest common factor 23,521,283 is 1.
Lets's calculate LCM of 92,22,620
2 | 92, 22, 620 |
2 | 46, 11, 310 |
23, 11, 155 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 11 x 155 = 156860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156860
Therefore, the GCF of Fractions 23/92,521/22,283/620 is 1/156860
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 92,22,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,22,620) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(92,22,620) x common factors =2 x 4 = 8
LCM(92,22,620) = ( 92 × 22 × 620 ) / 8
LCM(92,22,620) = 1254880 / 8
LCM(92,22,620) = 156860
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 23,521,283?
The HCF of 23,521,283 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 23/92, 521/22, 283/620?
Answer: GCF of Numerators as per given numbers 23/92, 521/22, 283/620 is
GCF of Numerators i.e. for 23,521,283 is 1
LCM of denominators i.e. for 92,22,620 is 156860.
Thus, GCF of Fractions is 1/156860.Finally, GCF of Fractions for 23/92, 521/22, 283/620 is 1/156860.