Use our free GCF of Fractions Calculator tool to compute the GCF of 2550/504, 1484/9700 i.e 2/1222200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2550/504, 1484/9700.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2550/504,1484/9700
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 2550/504,1484/9700, numerators are 2550,1484
Denominators are 504,9700
The GCF of 2550,1484 is 2 .
LCM of 504,9700 is 1222200.
The greatest common factor of 2550/504,1484/9700 = [GCF of 2550,1484]/[LCM of 504,9700]= 2/1222200
Therefore, the GCF of 2550/504,1484/9700 is 2/1222200.
To find the highest common factor of 2550,1484, we have to find the factors of both numbers and list the highest common factor.
The factors of 2550 are 1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275, 2550
The factors of 1484 are 1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484
The HCF of 2550,1484 is 2.
Lets's calculate GCF of 2550,1484
2 | 2550, 1484 |
1275, 742 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 2550
:1,2,3,5,6,10,15,17,25,30,34,50,51,75,85,102,150,170,255,425,510,850,1275,2550
Now, list down the factors of 1484
:1,2,4,7,14,28,53,106,212,371,742,1484
Greatest Common Factor
We found the factors 2550,1484 . The biggest common factor number is the GCF number.
So the greatest common factor 2550,1484 is 2.
Lets's calculate LCM of 504,9700
2 | 504, 9700 |
2 | 252, 4850 |
126, 2425 |
∴ So the LCM of the given numbers is 2 x 2 x 126 x 2425 = 1222200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1222200
Therefore, the GCF of Fractions 2550/504,1484/9700 is 2/1222200
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 504,9700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,9700) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(504,9700) x common factors =4 x 1 = 4
LCM(504,9700) = ( 504 × 9700 ) / 4
LCM(504,9700) = 4888800 / 4
LCM(504,9700) = 1222200
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2550,1484?
The HCF of 2550,1484 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 2550/504, 1484/9700?
Answer: GCF of Numerators as per given numbers 2550/504, 1484/9700 is
GCF of Numerators i.e. for 2550,1484 is 2
LCM of denominators i.e. for 504,9700 is 1222200.
Thus, GCF of Fractions is 2/1222200.Finally, GCF of Fractions for 2550/504, 1484/9700 is 2/1222200.