Use our free GCF of Fractions Calculator tool to compute the GCF of 156/164, 747/210 i.e 3/17220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 156/164, 747/210.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 156/164,747/210
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 156/164,747/210, numerators are 156,747
Denominators are 164,210
The GCF of 156,747 is 3 .
LCM of 164,210 is 17220.
The greatest common factor of 156/164,747/210 = [GCF of 156,747]/[LCM of 164,210]= 3/17220
Therefore, the GCF of 156/164,747/210 is 3/17220.
To find the highest common factor of 156,747, 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 747 are 1, 3, 9, 83, 249, 747
The HCF of 156,747 is 3.
Lets's calculate GCF of 156,747
3 | 156, 747 |
52, 249 |
∴ So the GCF of the given numbers is 3 = 3
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 747
:1,3,9,83,249,747
Greatest Common Factor
We found the factors 156,747 . The biggest common factor number is the GCF number.
So the greatest common factor 156,747 is 3.
Lets's calculate LCM of 164,210
2 | 164, 210 |
82, 105 |
∴ So the LCM of the given numbers is 2 x 82 x 105 = 17220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17220
Therefore, the GCF of Fractions 156/164,747/210 is 3/17220
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 164,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,210) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,210) x common factors =2 x 1 = 2
LCM(164,210) = ( 164 × 210 ) / 2
LCM(164,210) = 34440 / 2
LCM(164,210) = 17220
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 156,747?
The HCF of 156,747 is 3
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 156/164, 747/210?
Answer: GCF of Numerators as per given numbers 156/164, 747/210 is
GCF of Numerators i.e. for 156,747 is 3
LCM of denominators i.e. for 164,210 is 17220.
Thus, GCF of Fractions is 3/17220.Finally, GCF of Fractions for 156/164, 747/210 is 3/17220.