GCF of 385/89, 512/160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 385/89, 512/160 i.e 1/14240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 385/89, 512/160.
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 385/89,512/160?
Given fractions are 385/89,512/160
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 385/89,512/160, numerators are 385,512
Denominators are 89,160
The GCF of 385,512 is 1 .
LCM of 89,160 is 14240.
The greatest common factor of 385/89,512/160 = [GCF of 385,512]/[LCM of 89,160]= 1/14240
Therefore, the GCF of 385/89,512/160 is 1/14240.
To find the highest common factor of 385,512, we have to find the factors of both numbers and list the highest common factor.
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 385,512 is 1.
Lets's calculate GCF of 385,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 385,512 By Matching Biggest Common Factor Method
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 385,512 . The biggest common factor number is the GCF number.
So the greatest common factor 385,512 is 1.
Lets's calculate LCM of 89,160
Given numbers has no common factors except 1. So, there LCM is their product i.e 14240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14240
Therefore, the GCF of Fractions 385/89,512/160 is 1/14240
Least Common Multiple of 89,160 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 89,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,160) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,160) x common factors =1 x 1 = 1
LCM(89,160) = ( 89 × 160 ) / 1
LCM(89,160) = 14240 / 1
LCM(89,160) = 14240
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FAQs on GCF of Fractions of 385/89, 512/160
1. What is the HCF of 385,512?
The HCF of 385,512 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 385/89, 512/160?
Answer: GCF of Numerators as per given numbers 385/89, 512/160 is
GCF of Numerators i.e. for 385,512 is 1
LCM of denominators i.e. for 89,160 is 14240.
Thus, GCF of Fractions is 1/14240.Finally, GCF of Fractions for 385/89, 512/160 is 1/14240.