Use our free GCF of Fractions Calculator tool to compute the GCF of 7489/150, 4680/3902 i.e 1/292650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7489/150, 4680/3902.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7489/150,4680/3902
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 7489/150,4680/3902, numerators are 7489,4680
Denominators are 150,3902
The GCF of 7489,4680 is 1 .
LCM of 150,3902 is 292650.
The greatest common factor of 7489/150,4680/3902 = [GCF of 7489,4680]/[LCM of 150,3902]= 1/292650
Therefore, the GCF of 7489/150,4680/3902 is 1/292650.
To find the highest common factor of 7489,4680, we have to find the factors of both numbers and list the highest common factor.
The factors of 7489 are 1, 7489
The factors of 4680 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 780, 936, 1170, 1560, 2340, 4680
The HCF of 7489,4680 is 1.
Lets's calculate GCF of 7489,4680
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7489
:1,7489
Now, list down the factors of 4680
:1,2,3,4,5,6,8,9,10,12,13,15,18,20,24,26,30,36,39,40,45,52,60,65,72,78,90,104,117,120,130,156,180,195,234,260,312,360,390,468,520,585,780,936,1170,1560,2340,4680
Greatest Common Factor
We found the factors 7489,4680 . The biggest common factor number is the GCF number.
So the greatest common factor 7489,4680 is 1.
Lets's calculate LCM of 150,3902
2 | 150, 3902 |
75, 1951 |
∴ So the LCM of the given numbers is 2 x 75 x 1951 = 292650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/292650
Therefore, the GCF of Fractions 7489/150,4680/3902 is 1/292650
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 150,3902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,3902) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(150,3902) x common factors =2 x 1 = 2
LCM(150,3902) = ( 150 × 3902 ) / 2
LCM(150,3902) = 585300 / 2
LCM(150,3902) = 292650
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7489,4680?
The HCF of 7489,4680 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 7489/150, 4680/3902?
Answer: GCF of Numerators as per given numbers 7489/150, 4680/3902 is
GCF of Numerators i.e. for 7489,4680 is 1
LCM of denominators i.e. for 150,3902 is 292650.
Thus, GCF of Fractions is 1/292650.Finally, GCF of Fractions for 7489/150, 4680/3902 is 1/292650.