GCF of 7350/120, 8049/3012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7350/120, 8049/3012 i.e 3/30120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7350/120, 8049/3012.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7350/120,8049/3012?
Given fractions are 7350/120,8049/3012
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 7350/120,8049/3012, numerators are 7350,8049
Denominators are 120,3012
The GCF of 7350,8049 is 3 .
LCM of 120,3012 is 30120.
The greatest common factor of 7350/120,8049/3012 = [GCF of 7350,8049]/[LCM of 120,3012]= 3/30120
Therefore, the GCF of 7350/120,8049/3012 is 3/30120.
To find the highest common factor of 7350,8049, we have to find the factors of both numbers and list the highest common factor.
The factors of 7350 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675, 7350
The factors of 8049 are 1, 3, 2683, 8049
The HCF of 7350,8049 is 3.
Lets's calculate GCF of 7350,8049
| 3 | 7350, 8049 |
| 2450, 2683 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7350,8049 By Matching Biggest Common Factor Method
Now, list down the factors of 7350
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350
Now, list down the factors of 8049
:1,3,2683,8049
Greatest Common Factor
We found the factors 7350,8049 . The biggest common factor number is the GCF number.
So the greatest common factor 7350,8049 is 3.
Lets's calculate LCM of 120,3012
| 2 | 120, 3012 |
| 2 | 60, 1506 |
| 3 | 30, 753 |
| 10, 251 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 10 x 251 = 30120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30120
Therefore, the GCF of Fractions 7350/120,8049/3012 is 3/30120
Least Common Multiple of 120,3012 with GCF Formula
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 120,3012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,3012) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(120,3012) x common factors =12 x 1 = 12
LCM(120,3012) = ( 120 × 3012 ) / 12
LCM(120,3012) = 361440 / 12
LCM(120,3012) = 30120
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FAQs on GCF of Fractions of 7350/120, 8049/3012
1. What is the HCF of 7350,8049?
The HCF of 7350,8049 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 7350/120, 8049/3012?
Answer: GCF of Numerators as per given numbers 7350/120, 8049/3012 is
GCF of Numerators i.e. for 7350,8049 is 3
LCM of denominators i.e. for 120,3012 is 30120.
Thus, GCF of Fractions is 3/30120.Finally, GCF of Fractions for 7350/120, 8049/3012 is 3/30120.