GCF of 6150/547, 1675/5312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6150/547, 1675/5312 i.e 25/2905664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6150/547, 1675/5312.
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 6150/547,1675/5312?
Given fractions are 6150/547,1675/5312
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 6150/547,1675/5312, numerators are 6150,1675
Denominators are 547,5312
The GCF of 6150,1675 is 25 .
LCM of 547,5312 is 2905664.
The greatest common factor of 6150/547,1675/5312 = [GCF of 6150,1675]/[LCM of 547,5312]= 25/2905664
Therefore, the GCF of 6150/547,1675/5312 is 25/2905664.
To find the highest common factor of 6150,1675, we have to find the factors of both numbers and list the highest common factor.
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 factors of 1675 are 1, 5, 25, 67, 335, 1675
The HCF of 6150,1675 is 25.
Lets's calculate GCF of 6150,1675
| 5 | 6150, 1675 |
| 5 | 1230, 335 |
| 246, 67 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 6150,1675 By Matching Biggest Common Factor Method
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
Now, list down the factors of 1675
:1,5,25,67,335,1675
Greatest Common Factor
We found the factors 6150,1675 . The biggest common factor number is the GCF number.
So the greatest common factor 6150,1675 is 25.
Lets's calculate LCM of 547,5312
Given numbers has no common factors except 1. So, there LCM is their product i.e 2905664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/2905664
Therefore, the GCF of Fractions 6150/547,1675/5312 is 25/2905664
Least Common Multiple of 547,5312 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 547,5312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,5312) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,5312) x common factors =1 x 1 = 1
LCM(547,5312) = ( 547 × 5312 ) / 1
LCM(547,5312) = 2905664 / 1
LCM(547,5312) = 2905664
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FAQs on GCF of Fractions of 6150/547, 1675/5312
1. What is the HCF of 6150,1675?
The HCF of 6150,1675 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 6150/547, 1675/5312?
Answer: GCF of Numerators as per given numbers 6150/547, 1675/5312 is
GCF of Numerators i.e. for 6150,1675 is 25
LCM of denominators i.e. for 547,5312 is 2905664.
Thus, GCF of Fractions is 25/2905664.Finally, GCF of Fractions for 6150/547, 1675/5312 is 25/2905664.