GCF of 9136/673, 6150/4711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9136/673, 6150/4711 i.e 2/4711 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9136/673, 6150/4711.
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 9136/673,6150/4711?
Given fractions are 9136/673,6150/4711
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 9136/673,6150/4711, numerators are 9136,6150
Denominators are 673,4711
The GCF of 9136,6150 is 2 .
LCM of 673,4711 is 4711.
The greatest common factor of 9136/673,6150/4711 = [GCF of 9136,6150]/[LCM of 673,4711]= 2/4711
Therefore, the GCF of 9136/673,6150/4711 is 2/4711.
To find the highest common factor of 9136,6150, we have to find the factors of both numbers and list the highest common factor.
The factors of 9136 are 1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136
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 9136,6150 is 2.
Lets's calculate GCF of 9136,6150
| 2 | 9136, 6150 |
| 4568, 3075 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9136,6150 By Matching Biggest Common Factor Method
Now, list down the factors of 9136
:1,2,4,8,16,571,1142,2284,4568,9136
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 9136,6150 . The biggest common factor number is the GCF number.
So the greatest common factor 9136,6150 is 2.
Lets's calculate LCM of 673,4711
| 673 | 673, 4711 |
| 1, 7 |
∴ So the LCM of the given numbers is 673 x 1 x 7 = 4711
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4711
Therefore, the GCF of Fractions 9136/673,6150/4711 is 2/4711
Least Common Multiple of 673,4711 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 673,4711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,4711) = 673
common factors(in case of two or more numbers have common factors) = 1
GCF(673,4711) x common factors =673 x 1 = 673
LCM(673,4711) = ( 673 × 4711 ) / 673
LCM(673,4711) = 3170503 / 673
LCM(673,4711) = 4711
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FAQs on GCF of Fractions of 9136/673, 6150/4711
1. What is the HCF of 9136,6150?
The HCF of 9136,6150 is 2
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 9136/673, 6150/4711?
Answer: GCF of Numerators as per given numbers 9136/673, 6150/4711 is
GCF of Numerators i.e. for 9136,6150 is 2
LCM of denominators i.e. for 673,4711 is 4711.
Thus, GCF of Fractions is 2/4711.Finally, GCF of Fractions for 9136/673, 6150/4711 is 2/4711.