Use our free GCF of Fractions Calculator tool to compute the GCF of 6670/790, 4052/804 i.e 2/317580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6670/790, 4052/804.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6670/790,4052/804
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 6670/790,4052/804, numerators are 6670,4052
Denominators are 790,804
The GCF of 6670,4052 is 2 .
LCM of 790,804 is 317580.
The greatest common factor of 6670/790,4052/804 = [GCF of 6670,4052]/[LCM of 790,804]= 2/317580
Therefore, the GCF of 6670/790,4052/804 is 2/317580.
To find the highest common factor of 6670,4052, we have to find the factors of both numbers and list the highest common factor.
The factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670
The factors of 4052 are 1, 2, 4, 1013, 2026, 4052
The HCF of 6670,4052 is 2.
Lets's calculate GCF of 6670,4052
2 | 6670, 4052 |
3335, 2026 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6670
:1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670
Now, list down the factors of 4052
:1,2,4,1013,2026,4052
Greatest Common Factor
We found the factors 6670,4052 . The biggest common factor number is the GCF number.
So the greatest common factor 6670,4052 is 2.
Lets's calculate LCM of 790,804
2 | 790, 804 |
395, 402 |
∴ So the LCM of the given numbers is 2 x 395 x 402 = 317580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/317580
Therefore, the GCF of Fractions 6670/790,4052/804 is 2/317580
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 790,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,804) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(790,804) x common factors =2 x 1 = 2
LCM(790,804) = ( 790 × 804 ) / 2
LCM(790,804) = 635160 / 2
LCM(790,804) = 317580
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6670,4052?
The HCF of 6670,4052 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 6670/790, 4052/804?
Answer: GCF of Numerators as per given numbers 6670/790, 4052/804 is
GCF of Numerators i.e. for 6670,4052 is 2
LCM of denominators i.e. for 790,804 is 317580.
Thus, GCF of Fractions is 2/317580.Finally, GCF of Fractions for 6670/790, 4052/804 is 2/317580.