Use our free GCF of Fractions Calculator tool to compute the GCF of 5250/807, 2403/9262 i.e 3/7474434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5250/807, 2403/9262.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5250/807,2403/9262
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 5250/807,2403/9262, numerators are 5250,2403
Denominators are 807,9262
The GCF of 5250,2403 is 3 .
LCM of 807,9262 is 7474434.
The greatest common factor of 5250/807,2403/9262 = [GCF of 5250,2403]/[LCM of 807,9262]= 3/7474434
Therefore, the GCF of 5250/807,2403/9262 is 3/7474434.
To find the highest common factor of 5250,2403, we have to find the factors of both numbers and list the highest common factor.
The factors of 5250 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250
The factors of 2403 are 1, 3, 9, 27, 89, 267, 801, 2403
The HCF of 5250,2403 is 3.
Lets's calculate GCF of 5250,2403
3 | 5250, 2403 |
1750, 801 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 5250
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,125,150,175,210,250,350,375,525,750,875,1050,1750,2625,5250
Now, list down the factors of 2403
:1,3,9,27,89,267,801,2403
Greatest Common Factor
We found the factors 5250,2403 . The biggest common factor number is the GCF number.
So the greatest common factor 5250,2403 is 3.
Lets's calculate LCM of 807,9262
Given numbers has no common factors except 1. So, there LCM is their product i.e 7474434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7474434
Therefore, the GCF of Fractions 5250/807,2403/9262 is 3/7474434
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 807,9262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,9262) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,9262) x common factors =1 x 1 = 1
LCM(807,9262) = ( 807 × 9262 ) / 1
LCM(807,9262) = 7474434 / 1
LCM(807,9262) = 7474434
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5250,2403?
The HCF of 5250,2403 is 3
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 5250/807, 2403/9262?
Answer: GCF of Numerators as per given numbers 5250/807, 2403/9262 is
GCF of Numerators i.e. for 5250,2403 is 3
LCM of denominators i.e. for 807,9262 is 7474434.
Thus, GCF of Fractions is 3/7474434.Finally, GCF of Fractions for 5250/807, 2403/9262 is 3/7474434.