GCF of 32/26, 701/59, 830/287
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 32/26, 701/59, 830/287 i.e 1/440258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 32/26, 701/59, 830/287.
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 32/26,701/59,830/287?
Given fractions are 32/26,701/59,830/287
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 32/26,701/59,830/287, numerators are 32,701,830
Denominators are 26,59,287
The GCF of 32,701,830 is 1 .
LCM of 26,59,287 is 440258.
The greatest common factor of 32/26,701/59,830/287 = [GCF of 32,701,830]/[LCM of 26,59,287]= 1/440258
Therefore, the GCF of 32/26,701/59,830/287 is 1/440258.
To find the highest common factor of 32,701,830, we have to find the factors of both numbers and list the highest common factor.
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 701 are 1, 701
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The HCF of 32,701,830 is 1.
Lets's calculate GCF of 32,701,830
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 32,701,830 By Matching Biggest Common Factor Method
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 701
:1,701
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 32,701,830 . The biggest common factor number is the GCF number.
So the greatest common factor 32,701,830 is 1.
Lets's calculate LCM of 26,59,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 440258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/440258
Therefore, the GCF of Fractions 32/26,701/59,830/287 is 1/440258
Least Common Multiple of 26,59,287 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 26,59,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,59,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,59,287) x common factors =1 x 1 = 1
LCM(26,59,287) = ( 26 × 59 × 287 ) / 1
LCM(26,59,287) = 440258 / 1
LCM(26,59,287) = 440258
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 32/26, 701/59, 830/287
1. What is the HCF of 32,701,830?
The HCF of 32,701,830 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 32/26, 701/59, 830/287?
Answer: GCF of Numerators as per given numbers 32/26, 701/59, 830/287 is
GCF of Numerators i.e. for 32,701,830 is 1
LCM of denominators i.e. for 26,59,287 is 440258.
Thus, GCF of Fractions is 1/440258.Finally, GCF of Fractions for 32/26, 701/59, 830/287 is 1/440258.