GCF of 1164/957, 6150/4918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1164/957, 6150/4918 i.e 6/4706526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1164/957, 6150/4918.
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 1164/957,6150/4918?
Given fractions are 1164/957,6150/4918
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 1164/957,6150/4918, numerators are 1164,6150
Denominators are 957,4918
The GCF of 1164,6150 is 6 .
LCM of 957,4918 is 4706526.
The greatest common factor of 1164/957,6150/4918 = [GCF of 1164,6150]/[LCM of 957,4918]= 6/4706526
Therefore, the GCF of 1164/957,6150/4918 is 6/4706526.
To find the highest common factor of 1164,6150, we have to find the factors of both numbers and list the highest common factor.
The factors of 1164 are 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164
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 1164,6150 is 6.
Lets's calculate GCF of 1164,6150
| 2 | 1164, 6150 |
| 3 | 582, 3075 |
| 194, 1025 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1164,6150 By Matching Biggest Common Factor Method
Now, list down the factors of 1164
:1,2,3,4,6,12,97,194,291,388,582,1164
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 1164,6150 . The biggest common factor number is the GCF number.
So the greatest common factor 1164,6150 is 6.
Lets's calculate LCM of 957,4918
Given numbers has no common factors except 1. So, there LCM is their product i.e 4706526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4706526
Therefore, the GCF of Fractions 1164/957,6150/4918 is 6/4706526
Least Common Multiple of 957,4918 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 957,4918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,4918) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(957,4918) x common factors =1 x 1 = 1
LCM(957,4918) = ( 957 × 4918 ) / 1
LCM(957,4918) = 4706526 / 1
LCM(957,4918) = 4706526
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FAQs on GCF of Fractions of 1164/957, 6150/4918
1. What is the HCF of 1164,6150?
The HCF of 1164,6150 is 6
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 1164/957, 6150/4918?
Answer: GCF of Numerators as per given numbers 1164/957, 6150/4918 is
GCF of Numerators i.e. for 1164,6150 is 6
LCM of denominators i.e. for 957,4918 is 4706526.
Thus, GCF of Fractions is 6/4706526.Finally, GCF of Fractions for 1164/957, 6150/4918 is 6/4706526.