GCF of 550/372, 1875/4531
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 550/372, 1875/4531 i.e 25/1685532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 550/372, 1875/4531.
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 550/372,1875/4531?
Given fractions are 550/372,1875/4531
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 550/372,1875/4531, numerators are 550,1875
Denominators are 372,4531
The GCF of 550,1875 is 25 .
LCM of 372,4531 is 1685532.
The greatest common factor of 550/372,1875/4531 = [GCF of 550,1875]/[LCM of 372,4531]= 25/1685532
Therefore, the GCF of 550/372,1875/4531 is 25/1685532.
To find the highest common factor of 550,1875, we have to find the factors of both numbers and list the highest common factor.
The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
The factors of 1875 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875
The HCF of 550,1875 is 25.
Lets's calculate GCF of 550,1875
| 5 | 550, 1875 |
| 5 | 110, 375 |
| 22, 75 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 550,1875 By Matching Biggest Common Factor Method
Now, list down the factors of 550
:1,2,5,10,11,22,25,50,55,110,275,550
Now, list down the factors of 1875
:1,3,5,15,25,75,125,375,625,1875
Greatest Common Factor
We found the factors 550,1875 . The biggest common factor number is the GCF number.
So the greatest common factor 550,1875 is 25.
Lets's calculate LCM of 372,4531
Given numbers has no common factors except 1. So, there LCM is their product i.e 1685532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1685532
Therefore, the GCF of Fractions 550/372,1875/4531 is 25/1685532
Least Common Multiple of 372,4531 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 372,4531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,4531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(372,4531) x common factors =1 x 1 = 1
LCM(372,4531) = ( 372 × 4531 ) / 1
LCM(372,4531) = 1685532 / 1
LCM(372,4531) = 1685532
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FAQs on GCF of Fractions of 550/372, 1875/4531
1. What is the HCF of 550,1875?
The HCF of 550,1875 is 25
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 550/372, 1875/4531?
Answer: GCF of Numerators as per given numbers 550/372, 1875/4531 is
GCF of Numerators i.e. for 550,1875 is 25
LCM of denominators i.e. for 372,4531 is 1685532.
Thus, GCF of Fractions is 25/1685532.Finally, GCF of Fractions for 550/372, 1875/4531 is 25/1685532.