Use our free GCF of Fractions Calculator tool to compute the GCF of 14/515, 930/935, 760/165 i.e 2/288915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/515, 930/935, 760/165.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/515,930/935,760/165
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 14/515,930/935,760/165, numerators are 14,930,760
Denominators are 515,935,165
The GCF of 14,930,760 is 2 .
LCM of 515,935,165 is 288915.
The greatest common factor of 14/515,930/935,760/165 = [GCF of 14,930,760]/[LCM of 515,935,165]= 2/288915
Therefore, the GCF of 14/515,930/935,760/165 is 2/288915.
To find the highest common factor of 14,930,760, 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 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The HCF of 14,930,760 is 2.
Lets's calculate GCF of 14,930,760
2 | 14, 930, 760 |
7, 465, 380 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 930
:1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 14,930,760 . The biggest common factor number is the GCF number.
So the greatest common factor 14,930,760 is 2.
Lets's calculate LCM of 515,935,165
5 | 515, 935, 165 |
11 | 103, 187, 33 |
103, 17, 3 |
∴ So the LCM of the given numbers is 5 x 11 x 103 x 17 x 3 = 288915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/288915
Therefore, the GCF of Fractions 14/515,930/935,760/165 is 2/288915
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 515,935,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,935,165) = 5
common factors(in case of two or more numbers have common factors) = 55
GCF(515,935,165) x common factors =5 x 55 = 275
LCM(515,935,165) = ( 515 × 935 × 165 ) / 275
LCM(515,935,165) = 79451625 / 275
LCM(515,935,165) = 288915
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,930,760?
The HCF of 14,930,760 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 14/515, 930/935, 760/165?
Answer: GCF of Numerators as per given numbers 14/515, 930/935, 760/165 is
GCF of Numerators i.e. for 14,930,760 is 2
LCM of denominators i.e. for 515,935,165 is 288915.
Thus, GCF of Fractions is 2/288915.Finally, GCF of Fractions for 14/515, 930/935, 760/165 is 2/288915.