GCF of 82/51, 758/58, 611/215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 82/51, 758/58, 611/215 i.e 1/635970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/51, 758/58, 611/215.
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 82/51,758/58,611/215?
Given fractions are 82/51,758/58,611/215
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 82/51,758/58,611/215, numerators are 82,758,611
Denominators are 51,58,215
The GCF of 82,758,611 is 1 .
LCM of 51,58,215 is 635970.
The greatest common factor of 82/51,758/58,611/215 = [GCF of 82,758,611]/[LCM of 51,58,215]= 1/635970
Therefore, the GCF of 82/51,758/58,611/215 is 1/635970.
To find the highest common factor of 82,758,611, we have to find the factors of both numbers and list the highest common factor.
The factors of 82 are 1, 2, 41, 82
The factors of 758 are 1, 2, 379, 758
The factors of 611 are 1, 13, 47, 611
The HCF of 82,758,611 is 1.
Lets's calculate GCF of 82,758,611
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 82,758,611 By Matching Biggest Common Factor Method
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 611
:1,13,47,611
Greatest Common Factor
We found the factors 82,758,611 . The biggest common factor number is the GCF number.
So the greatest common factor 82,758,611 is 1.
Lets's calculate LCM of 51,58,215
Given numbers has no common factors except 1. So, there LCM is their product i.e 635970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/635970
Therefore, the GCF of Fractions 82/51,758/58,611/215 is 1/635970
Least Common Multiple of 51,58,215 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 51,58,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,58,215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,58,215) x common factors =1 x 1 = 1
LCM(51,58,215) = ( 51 × 58 × 215 ) / 1
LCM(51,58,215) = 635970 / 1
LCM(51,58,215) = 635970
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 82/51, 758/58, 611/215
1. What is the HCF of 82,758,611?
The HCF of 82,758,611 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 82/51, 758/58, 611/215?
Answer: GCF of Numerators as per given numbers 82/51, 758/58, 611/215 is
GCF of Numerators i.e. for 82,758,611 is 1
LCM of denominators i.e. for 51,58,215 is 635970.
Thus, GCF of Fractions is 1/635970.Finally, GCF of Fractions for 82/51, 758/58, 611/215 is 1/635970.