Use our free GCF of Fractions Calculator tool to compute the GCF of 156/996, 580/213 i.e 4/70716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 156/996, 580/213.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 156/996,580/213
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 156/996,580/213, numerators are 156,580
Denominators are 996,213
The GCF of 156,580 is 4 .
LCM of 996,213 is 70716.
The greatest common factor of 156/996,580/213 = [GCF of 156,580]/[LCM of 996,213]= 4/70716
Therefore, the GCF of 156/996,580/213 is 4/70716.
To find the highest common factor of 156,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 156,580 is 4.
Lets's calculate GCF of 156,580
2 | 156, 580 |
2 | 78, 290 |
39, 145 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 156
:1,2,3,4,6,12,13,26,39,52,78,156
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 156,580 . The biggest common factor number is the GCF number.
So the greatest common factor 156,580 is 4.
Lets's calculate LCM of 996,213
3 | 996, 213 |
332, 71 |
∴ So the LCM of the given numbers is 3 x 332 x 71 = 70716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/70716
Therefore, the GCF of Fractions 156/996,580/213 is 4/70716
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 996,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,213) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(996,213) x common factors =3 x 1 = 3
LCM(996,213) = ( 996 × 213 ) / 3
LCM(996,213) = 212148 / 3
LCM(996,213) = 70716
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 156,580?
The HCF of 156,580 is 4
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 156/996, 580/213?
Answer: GCF of Numerators as per given numbers 156/996, 580/213 is
GCF of Numerators i.e. for 156,580 is 4
LCM of denominators i.e. for 996,213 is 70716.
Thus, GCF of Fractions is 4/70716.Finally, GCF of Fractions for 156/996, 580/213 is 4/70716.