GCF of 64/172, 8354/2255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 64/172, 8354/2255 i.e 2/387860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/172, 8354/2255.
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 64/172,8354/2255?
Given fractions are 64/172,8354/2255
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 64/172,8354/2255, numerators are 64,8354
Denominators are 172,2255
The GCF of 64,8354 is 2 .
LCM of 172,2255 is 387860.
The greatest common factor of 64/172,8354/2255 = [GCF of 64,8354]/[LCM of 172,2255]= 2/387860
Therefore, the GCF of 64/172,8354/2255 is 2/387860.
To find the highest common factor of 64,8354, we have to find the factors of both numbers and list the highest common factor.
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 8354 are 1, 2, 4177, 8354
The HCF of 64,8354 is 2.
Lets's calculate GCF of 64,8354
| 2 | 64, 8354 |
| 32, 4177 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 64,8354 By Matching Biggest Common Factor Method
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 8354
:1,2,4177,8354
Greatest Common Factor
We found the factors 64,8354 . The biggest common factor number is the GCF number.
So the greatest common factor 64,8354 is 2.
Lets's calculate LCM of 172,2255
Given numbers has no common factors except 1. So, there LCM is their product i.e 387860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/387860
Therefore, the GCF of Fractions 64/172,8354/2255 is 2/387860
Least Common Multiple of 172,2255 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 172,2255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,2255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,2255) x common factors =1 x 1 = 1
LCM(172,2255) = ( 172 × 2255 ) / 1
LCM(172,2255) = 387860 / 1
LCM(172,2255) = 387860
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FAQs on GCF of Fractions of 64/172, 8354/2255
1. What is the HCF of 64,8354?
The HCF of 64,8354 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 64/172, 8354/2255?
Answer: GCF of Numerators as per given numbers 64/172, 8354/2255 is
GCF of Numerators i.e. for 64,8354 is 2
LCM of denominators i.e. for 172,2255 is 387860.
Thus, GCF of Fractions is 2/387860.Finally, GCF of Fractions for 64/172, 8354/2255 is 2/387860.