Use our free GCF of Fractions Calculator tool to compute the GCF of 799/630, 980/741 i.e 1/155610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 799/630, 980/741.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 799/630,980/741
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 799/630,980/741, numerators are 799,980
Denominators are 630,741
The GCF of 799,980 is 1 .
LCM of 630,741 is 155610.
The greatest common factor of 799/630,980/741 = [GCF of 799,980]/[LCM of 630,741]= 1/155610
Therefore, the GCF of 799/630,980/741 is 1/155610.
To find the highest common factor of 799,980, we have to find the factors of both numbers and list the highest common factor.
The factors of 799 are 1, 17, 47, 799
The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
The HCF of 799,980 is 1.
Lets's calculate GCF of 799,980
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 799
:1,17,47,799
Now, list down the factors of 980
:1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 799,980 . The biggest common factor number is the GCF number.
So the greatest common factor 799,980 is 1.
Lets's calculate LCM of 630,741
3 | 630, 741 |
210, 247 |
∴ So the LCM of the given numbers is 3 x 210 x 247 = 155610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155610
Therefore, the GCF of Fractions 799/630,980/741 is 1/155610
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 630,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,741) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(630,741) x common factors =3 x 1 = 3
LCM(630,741) = ( 630 × 741 ) / 3
LCM(630,741) = 466830 / 3
LCM(630,741) = 155610
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 799,980?
The HCF of 799,980 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 799/630, 980/741?
Answer: GCF of Numerators as per given numbers 799/630, 980/741 is
GCF of Numerators i.e. for 799,980 is 1
LCM of denominators i.e. for 630,741 is 155610.
Thus, GCF of Fractions is 1/155610.Finally, GCF of Fractions for 799/630, 980/741 is 1/155610.