Use our free GCF of Fractions Calculator tool to compute the GCF of 86/707, 698/740, 509/360 i.e 1/9417240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/707, 698/740, 509/360.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/707,698/740,509/360
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 86/707,698/740,509/360, numerators are 86,698,509
Denominators are 707,740,360
The GCF of 86,698,509 is 1 .
LCM of 707,740,360 is 9417240.
The greatest common factor of 86/707,698/740,509/360 = [GCF of 86,698,509]/[LCM of 707,740,360]= 1/9417240
Therefore, the GCF of 86/707,698/740,509/360 is 1/9417240.
To find the highest common factor of 86,698,509, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 698 are 1, 2, 349, 698
The factors of 509 are 1, 509
The HCF of 86,698,509 is 1.
Lets's calculate GCF of 86,698,509
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 698
:1,2,349,698
Now, list down the factors of 509
:1,509
Greatest Common Factor
We found the factors 86,698,509 . The biggest common factor number is the GCF number.
So the greatest common factor 86,698,509 is 1.
Lets's calculate LCM of 707,740,360
2 | 707, 740, 360 |
2 | 707, 370, 180 |
5 | 707, 185, 90 |
707, 37, 18 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 707 x 37 x 18 = 9417240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9417240
Therefore, the GCF of Fractions 86/707,698/740,509/360 is 1/9417240
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 707,740,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,740,360) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(707,740,360) x common factors =1 x 20 = 20
LCM(707,740,360) = ( 707 × 740 × 360 ) / 20
LCM(707,740,360) = 188344800 / 20
LCM(707,740,360) = 9417240
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,698,509?
The HCF of 86,698,509 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 86/707, 698/740, 509/360?
Answer: GCF of Numerators as per given numbers 86/707, 698/740, 509/360 is
GCF of Numerators i.e. for 86,698,509 is 1
LCM of denominators i.e. for 707,740,360 is 9417240.
Thus, GCF of Fractions is 1/9417240.Finally, GCF of Fractions for 86/707, 698/740, 509/360 is 1/9417240.