GCF of 573/36, 149/120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 573/36, 149/120 i.e 1/360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 573/36, 149/120.
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 573/36,149/120?
Given fractions are 573/36,149/120
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 573/36,149/120, numerators are 573,149
Denominators are 36,120
The GCF of 573,149 is 1 .
LCM of 36,120 is 360.
The greatest common factor of 573/36,149/120 = [GCF of 573,149]/[LCM of 36,120]= 1/360
Therefore, the GCF of 573/36,149/120 is 1/360.
To find the highest common factor of 573,149, we have to find the factors of both numbers and list the highest common factor.
The factors of 573 are 1, 3, 191, 573
The factors of 149 are 1, 149
The HCF of 573,149 is 1.
Lets's calculate GCF of 573,149
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 573,149 By Matching Biggest Common Factor Method
Now, list down the factors of 573
:1,3,191,573
Now, list down the factors of 149
:1,149
Greatest Common Factor
We found the factors 573,149 . The biggest common factor number is the GCF number.
So the greatest common factor 573,149 is 1.
Lets's calculate LCM of 36,120
| 2 | 36, 120 |
| 2 | 18, 60 |
| 3 | 9, 30 |
| 3, 10 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 10 = 360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/360
Therefore, the GCF of Fractions 573/36,149/120 is 1/360
Least Common Multiple of 36,120 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 36,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,120) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(36,120) x common factors =12 x 1 = 12
LCM(36,120) = ( 36 × 120 ) / 12
LCM(36,120) = 4320 / 12
LCM(36,120) = 360
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FAQs on GCF of Fractions of 573/36, 149/120
1. What is the HCF of 573,149?
The HCF of 573,149 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 573/36, 149/120?
Answer: GCF of Numerators as per given numbers 573/36, 149/120 is
GCF of Numerators i.e. for 573,149 is 1
LCM of denominators i.e. for 36,120 is 360.
Thus, GCF of Fractions is 1/360.Finally, GCF of Fractions for 573/36, 149/120 is 1/360.