Use our free GCF of Fractions Calculator tool to compute the GCF of 693/717, 360/757 i.e 9/542769 easily. The following is the detailed procedure to determine the greatest common factor of fractions 693/717, 360/757.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 693/717,360/757
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 693/717,360/757, numerators are 693,360
Denominators are 717,757
The GCF of 693,360 is 9 .
LCM of 717,757 is 542769.
The greatest common factor of 693/717,360/757 = [GCF of 693,360]/[LCM of 717,757]= 9/542769
Therefore, the GCF of 693/717,360/757 is 9/542769.
To find the highest common factor of 693,360, we have to find the factors of both numbers and list the highest common factor.
The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 693,360 is 9.
Lets's calculate GCF of 693,360
3 | 693, 360 |
3 | 231, 120 |
77, 40 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 693
:1,3,7,9,11,21,33,63,77,99,231,693
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 693,360 . The biggest common factor number is the GCF number.
So the greatest common factor 693,360 is 9.
Lets's calculate LCM of 717,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 542769
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/542769
Therefore, the GCF of Fractions 693/717,360/757 is 9/542769
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 717,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,757) x common factors =1 x 1 = 1
LCM(717,757) = ( 717 × 757 ) / 1
LCM(717,757) = 542769 / 1
LCM(717,757) = 542769
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 693,360?
The HCF of 693,360 is 9
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 693/717, 360/757?
Answer: GCF of Numerators as per given numbers 693/717, 360/757 is
GCF of Numerators i.e. for 693,360 is 9
LCM of denominators i.e. for 717,757 is 542769.
Thus, GCF of Fractions is 9/542769.Finally, GCF of Fractions for 693/717, 360/757 is 9/542769.