Use our free GCF of Fractions Calculator tool to compute the GCF of 618/717, 780/902 i.e 6/646734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 618/717, 780/902.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 618/717,780/902
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 618/717,780/902, numerators are 618,780
Denominators are 717,902
The GCF of 618,780 is 6 .
LCM of 717,902 is 646734.
The greatest common factor of 618/717,780/902 = [GCF of 618,780]/[LCM of 717,902]= 6/646734
Therefore, the GCF of 618/717,780/902 is 6/646734.
To find the highest common factor of 618,780, we have to find the factors of both numbers and list the highest common factor.
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618
The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
The HCF of 618,780 is 6.
Lets's calculate GCF of 618,780
2 | 618, 780 |
3 | 309, 390 |
103, 130 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 618
:1,2,3,6,103,206,309,618
Now, list down the factors of 780
:1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 618,780 . The biggest common factor number is the GCF number.
So the greatest common factor 618,780 is 6.
Lets's calculate LCM of 717,902
Given numbers has no common factors except 1. So, there LCM is their product i.e 646734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/646734
Therefore, the GCF of Fractions 618/717,780/902 is 6/646734
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 717,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,902) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,902) x common factors =1 x 1 = 1
LCM(717,902) = ( 717 × 902 ) / 1
LCM(717,902) = 646734 / 1
LCM(717,902) = 646734
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 618,780?
The HCF of 618,780 is 6
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 618/717, 780/902?
Answer: GCF of Numerators as per given numbers 618/717, 780/902 is
GCF of Numerators i.e. for 618,780 is 6
LCM of denominators i.e. for 717,902 is 646734.
Thus, GCF of Fractions is 6/646734.Finally, GCF of Fractions for 618/717, 780/902 is 6/646734.