GCF of 85/85, 197/27, 886/256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 85/85, 197/27, 886/256 i.e 1/587520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 85/85, 197/27, 886/256.
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 85/85,197/27,886/256?
Given fractions are 85/85,197/27,886/256
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 85/85,197/27,886/256, numerators are 85,197,886
Denominators are 85,27,256
The GCF of 85,197,886 is 1 .
LCM of 85,27,256 is 587520.
The greatest common factor of 85/85,197/27,886/256 = [GCF of 85,197,886]/[LCM of 85,27,256]= 1/587520
Therefore, the GCF of 85/85,197/27,886/256 is 1/587520.
To find the highest common factor of 85,197,886, we have to find the factors of both numbers and list the highest common factor.
The factors of 85 are 1, 5, 17, 85
The factors of 197 are 1, 197
The factors of 886 are 1, 2, 443, 886
The HCF of 85,197,886 is 1.
Lets's calculate GCF of 85,197,886
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 85,197,886 By Matching Biggest Common Factor Method
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 197
:1,197
Now, list down the factors of 886
:1,2,443,886
Greatest Common Factor
We found the factors 85,197,886 . The biggest common factor number is the GCF number.
So the greatest common factor 85,197,886 is 1.
Lets's calculate LCM of 85,27,256
Given numbers has no common factors except 1. So, there LCM is their product i.e 587520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/587520
Therefore, the GCF of Fractions 85/85,197/27,886/256 is 1/587520
Least Common Multiple of 85,27,256 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 85,27,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,27,256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,27,256) x common factors =1 x 1 = 1
LCM(85,27,256) = ( 85 × 27 × 256 ) / 1
LCM(85,27,256) = 587520 / 1
LCM(85,27,256) = 587520
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FAQs on GCF of Fractions of 85/85, 197/27, 886/256
1. What is the HCF of 85,197,886?
The HCF of 85,197,886 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 85/85, 197/27, 886/256?
Answer: GCF of Numerators as per given numbers 85/85, 197/27, 886/256 is
GCF of Numerators i.e. for 85,197,886 is 1
LCM of denominators i.e. for 85,27,256 is 587520.
Thus, GCF of Fractions is 1/587520.Finally, GCF of Fractions for 85/85, 197/27, 886/256 is 1/587520.