GCF of 9145/238, 4064/3011
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9145/238, 4064/3011 i.e 1/716618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9145/238, 4064/3011.
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 9145/238,4064/3011?
Given fractions are 9145/238,4064/3011
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 9145/238,4064/3011, numerators are 9145,4064
Denominators are 238,3011
The GCF of 9145,4064 is 1 .
LCM of 238,3011 is 716618.
The greatest common factor of 9145/238,4064/3011 = [GCF of 9145,4064]/[LCM of 238,3011]= 1/716618
Therefore, the GCF of 9145/238,4064/3011 is 1/716618.
To find the highest common factor of 9145,4064, we have to find the factors of both numbers and list the highest common factor.
The factors of 9145 are 1, 5, 31, 59, 155, 295, 1829, 9145
The factors of 4064 are 1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 4064
The HCF of 9145,4064 is 1.
Lets's calculate GCF of 9145,4064
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9145,4064 By Matching Biggest Common Factor Method
Now, list down the factors of 9145
:1,5,31,59,155,295,1829,9145
Now, list down the factors of 4064
:1,2,4,8,16,32,127,254,508,1016,2032,4064
Greatest Common Factor
We found the factors 9145,4064 . The biggest common factor number is the GCF number.
So the greatest common factor 9145,4064 is 1.
Lets's calculate LCM of 238,3011
Given numbers has no common factors except 1. So, there LCM is their product i.e 716618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/716618
Therefore, the GCF of Fractions 9145/238,4064/3011 is 1/716618
Least Common Multiple of 238,3011 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 238,3011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,3011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(238,3011) x common factors =1 x 1 = 1
LCM(238,3011) = ( 238 × 3011 ) / 1
LCM(238,3011) = 716618 / 1
LCM(238,3011) = 716618
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FAQs on GCF of Fractions of 9145/238, 4064/3011
1. What is the HCF of 9145,4064?
The HCF of 9145,4064 is 1
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 9145/238, 4064/3011?
Answer: GCF of Numerators as per given numbers 9145/238, 4064/3011 is
GCF of Numerators i.e. for 9145,4064 is 1
LCM of denominators i.e. for 238,3011 is 716618.
Thus, GCF of Fractions is 1/716618.Finally, GCF of Fractions for 9145/238, 4064/3011 is 1/716618.