Use our free GCF of Fractions Calculator tool to compute the GCF of 14/685, 41/735, 338/701 i.e 1/70587195 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/685, 41/735, 338/701.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/685,41/735,338/701
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 14/685,41/735,338/701, numerators are 14,41,338
Denominators are 685,735,701
The GCF of 14,41,338 is 1 .
LCM of 685,735,701 is 70587195.
The greatest common factor of 14/685,41/735,338/701 = [GCF of 14,41,338]/[LCM of 685,735,701]= 1/70587195
Therefore, the GCF of 14/685,41/735,338/701 is 1/70587195.
To find the highest common factor of 14,41,338, 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 41 are 1, 41
The factors of 338 are 1, 2, 13, 26, 169, 338
The HCF of 14,41,338 is 1.
Lets's calculate GCF of 14,41,338
∴ 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 41
:1,41
Now, list down the factors of 338
:1,2,13,26,169,338
Greatest Common Factor
We found the factors 14,41,338 . The biggest common factor number is the GCF number.
So the greatest common factor 14,41,338 is 1.
Lets's calculate LCM of 685,735,701
5 | 685, 735, 701 |
137, 147, 701 |
∴ So the LCM of the given numbers is 5 x 137 x 147 x 701 = 70587195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70587195
Therefore, the GCF of Fractions 14/685,41/735,338/701 is 1/70587195
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 685,735,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,735,701) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(685,735,701) x common factors =1 x 5 = 5
LCM(685,735,701) = ( 685 × 735 × 701 ) / 5
LCM(685,735,701) = 352935975 / 5
LCM(685,735,701) = 70587195
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,41,338?
The HCF of 14,41,338 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 14/685, 41/735, 338/701?
Answer: GCF of Numerators as per given numbers 14/685, 41/735, 338/701 is
GCF of Numerators i.e. for 14,41,338 is 1
LCM of denominators i.e. for 685,735,701 is 70587195.
Thus, GCF of Fractions is 1/70587195.Finally, GCF of Fractions for 14/685, 41/735, 338/701 is 1/70587195.