GCF of 95/211, 35/767, 831/555
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 95/211, 35/767, 831/555 i.e 1/89819535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/211, 35/767, 831/555.
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 95/211,35/767,831/555?
Given fractions are 95/211,35/767,831/555
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 95/211,35/767,831/555, numerators are 95,35,831
Denominators are 211,767,555
The GCF of 95,35,831 is 1 .
LCM of 211,767,555 is 89819535.
The greatest common factor of 95/211,35/767,831/555 = [GCF of 95,35,831]/[LCM of 211,767,555]= 1/89819535
Therefore, the GCF of 95/211,35/767,831/555 is 1/89819535.
To find the highest common factor of 95,35,831, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 35 are 1, 5, 7, 35
The factors of 831 are 1, 3, 277, 831
The HCF of 95,35,831 is 1.
Lets's calculate GCF of 95,35,831
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 95,35,831 By Matching Biggest Common Factor Method
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 831
:1,3,277,831
Greatest Common Factor
We found the factors 95,35,831 . The biggest common factor number is the GCF number.
So the greatest common factor 95,35,831 is 1.
Lets's calculate LCM of 211,767,555
Given numbers has no common factors except 1. So, there LCM is their product i.e 89819535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89819535
Therefore, the GCF of Fractions 95/211,35/767,831/555 is 1/89819535
Least Common Multiple of 211,767,555 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 211,767,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,767,555) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,767,555) x common factors =1 x 1 = 1
LCM(211,767,555) = ( 211 × 767 × 555 ) / 1
LCM(211,767,555) = 89819535 / 1
LCM(211,767,555) = 89819535
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FAQs on GCF of Fractions of 95/211, 35/767, 831/555
1. What is the HCF of 95,35,831?
The HCF of 95,35,831 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 95/211, 35/767, 831/555?
Answer: GCF of Numerators as per given numbers 95/211, 35/767, 831/555 is
GCF of Numerators i.e. for 95,35,831 is 1
LCM of denominators i.e. for 211,767,555 is 89819535.
Thus, GCF of Fractions is 1/89819535.Finally, GCF of Fractions for 95/211, 35/767, 831/555 is 1/89819535.