Use our free GCF of Fractions Calculator tool to compute the GCF of 156/284, 694/780 i.e 2/55380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 156/284, 694/780.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 156/284,694/780
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 156/284,694/780, numerators are 156,694
Denominators are 284,780
The GCF of 156,694 is 2 .
LCM of 284,780 is 55380.
The greatest common factor of 156/284,694/780 = [GCF of 156,694]/[LCM of 284,780]= 2/55380
Therefore, the GCF of 156/284,694/780 is 2/55380.
To find the highest common factor of 156,694, 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 694 are 1, 2, 347, 694
The HCF of 156,694 is 2.
Lets's calculate GCF of 156,694
2 | 156, 694 |
78, 347 |
∴ So the GCF of the given numbers is 2 = 2
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 694
:1,2,347,694
Greatest Common Factor
We found the factors 156,694 . The biggest common factor number is the GCF number.
So the greatest common factor 156,694 is 2.
Lets's calculate LCM of 284,780
2 | 284, 780 |
2 | 142, 390 |
71, 195 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 195 = 55380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55380
Therefore, the GCF of Fractions 156/284,694/780 is 2/55380
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 284,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,780) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(284,780) x common factors =4 x 1 = 4
LCM(284,780) = ( 284 × 780 ) / 4
LCM(284,780) = 221520 / 4
LCM(284,780) = 55380
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 156,694?
The HCF of 156,694 is 2
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 156/284, 694/780?
Answer: GCF of Numerators as per given numbers 156/284, 694/780 is
GCF of Numerators i.e. for 156,694 is 2
LCM of denominators i.e. for 284,780 is 55380.
Thus, GCF of Fractions is 2/55380.Finally, GCF of Fractions for 156/284, 694/780 is 2/55380.