GCF of 4275/608, 6150/271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4275/608, 6150/271 i.e 75/164768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4275/608, 6150/271.
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 4275/608,6150/271?
Given fractions are 4275/608,6150/271
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 4275/608,6150/271, numerators are 4275,6150
Denominators are 608,271
The GCF of 4275,6150 is 75 .
LCM of 608,271 is 164768.
The greatest common factor of 4275/608,6150/271 = [GCF of 4275,6150]/[LCM of 608,271]= 75/164768
Therefore, the GCF of 4275/608,6150/271 is 75/164768.
To find the highest common factor of 4275,6150, we have to find the factors of both numbers and list the highest common factor.
The factors of 4275 are 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425, 4275
The factors of 6150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075, 6150
The HCF of 4275,6150 is 75.
Lets's calculate GCF of 4275,6150
| 3 | 4275, 6150 |
| 5 | 1425, 2050 |
| 5 | 285, 410 |
| 57, 82 |
∴ So the GCF of the given numbers is 3 x 5 x 5 = 75
Greatest Common Factor of 4275,6150 By Matching Biggest Common Factor Method
Now, list down the factors of 4275
:1,3,5,9,15,19,25,45,57,75,95,171,225,285,475,855,1425,4275
Now, list down the factors of 6150
:1,2,3,5,6,10,15,25,30,41,50,75,82,123,150,205,246,410,615,1025,1230,2050,3075,6150
Greatest Common Factor
We found the factors 4275,6150 . The biggest common factor number is the GCF number.
So the greatest common factor 4275,6150 is 75.
Lets's calculate LCM of 608,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 164768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/164768
Therefore, the GCF of Fractions 4275/608,6150/271 is 75/164768
Least Common Multiple of 608,271 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 608,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(608,271) x common factors =1 x 1 = 1
LCM(608,271) = ( 608 × 271 ) / 1
LCM(608,271) = 164768 / 1
LCM(608,271) = 164768
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FAQs on GCF of Fractions of 4275/608, 6150/271
1. What is the HCF of 4275,6150?
The HCF of 4275,6150 is 75
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 4275/608, 6150/271?
Answer: GCF of Numerators as per given numbers 4275/608, 6150/271 is
GCF of Numerators i.e. for 4275,6150 is 75
LCM of denominators i.e. for 608,271 is 164768.
Thus, GCF of Fractions is 75/164768.Finally, GCF of Fractions for 4275/608, 6150/271 is 75/164768.