GCF of 561/71, 706/39, 671/25
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 561/71, 706/39, 671/25 i.e 1/69225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 561/71, 706/39, 671/25.
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 561/71,706/39,671/25?
Given fractions are 561/71,706/39,671/25
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 561/71,706/39,671/25, numerators are 561,706,671
Denominators are 71,39,25
The GCF of 561,706,671 is 1 .
LCM of 71,39,25 is 69225.
The greatest common factor of 561/71,706/39,671/25 = [GCF of 561,706,671]/[LCM of 71,39,25]= 1/69225
Therefore, the GCF of 561/71,706/39,671/25 is 1/69225.
To find the highest common factor of 561,706,671, we have to find the factors of both numbers and list the highest common factor.
The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561
The factors of 706 are 1, 2, 353, 706
The factors of 671 are 1, 11, 61, 671
The HCF of 561,706,671 is 1.
Lets's calculate GCF of 561,706,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 561,706,671 By Matching Biggest Common Factor Method
Now, list down the factors of 561
:1,3,11,17,33,51,187,561
Now, list down the factors of 706
:1,2,353,706
Now, list down the factors of 671
:1,11,61,671
Greatest Common Factor
We found the factors 561,706,671 . The biggest common factor number is the GCF number.
So the greatest common factor 561,706,671 is 1.
Lets's calculate LCM of 71,39,25
Given numbers has no common factors except 1. So, there LCM is their product i.e 69225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69225
Therefore, the GCF of Fractions 561/71,706/39,671/25 is 1/69225
Least Common Multiple of 71,39,25 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 71,39,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,39,25) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,39,25) x common factors =1 x 1 = 1
LCM(71,39,25) = ( 71 × 39 × 25 ) / 1
LCM(71,39,25) = 69225 / 1
LCM(71,39,25) = 69225
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 561/71, 706/39, 671/25
1. What is the HCF of 561,706,671?
The HCF of 561,706,671 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 561/71, 706/39, 671/25?
Answer: GCF of Numerators as per given numbers 561/71, 706/39, 671/25 is
GCF of Numerators i.e. for 561,706,671 is 1
LCM of denominators i.e. for 71,39,25 is 69225.
Thus, GCF of Fractions is 1/69225.Finally, GCF of Fractions for 561/71, 706/39, 671/25 is 1/69225.