Use our free GCF of Fractions Calculator tool to compute the GCF of 14/962, 985/156, 581/836 i.e 1/1206348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/962, 985/156, 581/836.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/962,985/156,581/836
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 14/962,985/156,581/836, numerators are 14,985,581
Denominators are 962,156,836
The GCF of 14,985,581 is 1 .
LCM of 962,156,836 is 1206348.
The greatest common factor of 14/962,985/156,581/836 = [GCF of 14,985,581]/[LCM of 962,156,836]= 1/1206348
Therefore, the GCF of 14/962,985/156,581/836 is 1/1206348.
To find the highest common factor of 14,985,581, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 985 are 1, 5, 197, 985
The factors of 581 are 1, 7, 83, 581
The HCF of 14,985,581 is 1.
Lets's calculate GCF of 14,985,581
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 985
:1,5,197,985
Now, list down the factors of 581
:1,7,83,581
Greatest Common Factor
We found the factors 14,985,581 . The biggest common factor number is the GCF number.
So the greatest common factor 14,985,581 is 1.
Lets's calculate LCM of 962,156,836
2 | 962, 156, 836 |
2 | 481, 78, 418 |
13 | 481, 39, 209 |
37, 3, 209 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 37 x 3 x 209 = 1206348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1206348
Therefore, the GCF of Fractions 14/962,985/156,581/836 is 1/1206348
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 962,156,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,156,836) = 2
common factors(in case of two or more numbers have common factors) = 52
GCF(962,156,836) x common factors =2 x 52 = 104
LCM(962,156,836) = ( 962 × 156 × 836 ) / 104
LCM(962,156,836) = 125460192 / 104
LCM(962,156,836) = 1206348
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,985,581?
The HCF of 14,985,581 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 14/962, 985/156, 581/836?
Answer: GCF of Numerators as per given numbers 14/962, 985/156, 581/836 is
GCF of Numerators i.e. for 14,985,581 is 1
LCM of denominators i.e. for 962,156,836 is 1206348.
Thus, GCF of Fractions is 1/1206348.Finally, GCF of Fractions for 14/962, 985/156, 581/836 is 1/1206348.