Use our free GCF of Fractions Calculator tool to compute the GCF of 403/504, 320/700 i.e 1/12600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 403/504, 320/700.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 403/504,320/700
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 403/504,320/700, numerators are 403,320
Denominators are 504,700
The GCF of 403,320 is 1 .
LCM of 504,700 is 12600.
The greatest common factor of 403/504,320/700 = [GCF of 403,320]/[LCM of 504,700]= 1/12600
Therefore, the GCF of 403/504,320/700 is 1/12600.
To find the highest common factor of 403,320, we have to find the factors of both numbers and list the highest common factor.
The factors of 403 are 1, 13, 31, 403
The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
The HCF of 403,320 is 1.
Lets's calculate GCF of 403,320
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 403
:1,13,31,403
Now, list down the factors of 320
:1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 403,320 . The biggest common factor number is the GCF number.
So the greatest common factor 403,320 is 1.
Lets's calculate LCM of 504,700
2 | 504, 700 |
2 | 252, 350 |
7 | 126, 175 |
18, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 18 x 25 = 12600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12600
Therefore, the GCF of Fractions 403/504,320/700 is 1/12600
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 504,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,700) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(504,700) x common factors =28 x 1 = 28
LCM(504,700) = ( 504 × 700 ) / 28
LCM(504,700) = 352800 / 28
LCM(504,700) = 12600
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 403,320?
The HCF of 403,320 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 403/504, 320/700?
Answer: GCF of Numerators as per given numbers 403/504, 320/700 is
GCF of Numerators i.e. for 403,320 is 1
LCM of denominators i.e. for 504,700 is 12600.
Thus, GCF of Fractions is 1/12600.Finally, GCF of Fractions for 403/504, 320/700 is 1/12600.