Use our free GCF of Fractions Calculator tool to compute the GCF of 715/851, 693/393 i.e 11/334443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 715/851, 693/393.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 715/851,693/393
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 715/851,693/393, numerators are 715,693
Denominators are 851,393
The GCF of 715,693 is 11 .
LCM of 851,393 is 334443.
The greatest common factor of 715/851,693/393 = [GCF of 715,693]/[LCM of 851,393]= 11/334443
Therefore, the GCF of 715/851,693/393 is 11/334443.
To find the highest common factor of 715,693, we have to find the factors of both numbers and list the highest common factor.
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
The HCF of 715,693 is 11.
Lets's calculate GCF of 715,693
11 | 715, 693 |
65, 63 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Now, list down the factors of 693
:1,3,7,9,11,21,33,63,77,99,231,693
Greatest Common Factor
We found the factors 715,693 . The biggest common factor number is the GCF number.
So the greatest common factor 715,693 is 11.
Lets's calculate LCM of 851,393
Given numbers has no common factors except 1. So, there LCM is their product i.e 334443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/334443
Therefore, the GCF of Fractions 715/851,693/393 is 11/334443
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 851,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,393) x common factors =1 x 1 = 1
LCM(851,393) = ( 851 × 393 ) / 1
LCM(851,393) = 334443 / 1
LCM(851,393) = 334443
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 715,693?
The HCF of 715,693 is 11
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 715/851, 693/393?
Answer: GCF of Numerators as per given numbers 715/851, 693/393 is
GCF of Numerators i.e. for 715,693 is 11
LCM of denominators i.e. for 851,393 is 334443.
Thus, GCF of Fractions is 11/334443.Finally, GCF of Fractions for 715/851, 693/393 is 11/334443.