GCF of 12/57, 696/91, 745/395
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 12/57, 696/91, 745/395 i.e 1/2048865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 12/57, 696/91, 745/395.
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 12/57,696/91,745/395?
Given fractions are 12/57,696/91,745/395
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 12/57,696/91,745/395, numerators are 12,696,745
Denominators are 57,91,395
The GCF of 12,696,745 is 1 .
LCM of 57,91,395 is 2048865.
The greatest common factor of 12/57,696/91,745/395 = [GCF of 12,696,745]/[LCM of 57,91,395]= 1/2048865
Therefore, the GCF of 12/57,696/91,745/395 is 1/2048865.
To find the highest common factor of 12,696,745, we have to find the factors of both numbers and list the highest common factor.
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
The factors of 745 are 1, 5, 149, 745
The HCF of 12,696,745 is 1.
Lets's calculate GCF of 12,696,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 12,696,745 By Matching Biggest Common Factor Method
Now, list down the factors of 12
:1,2,3,4,6,12
Now, list down the factors of 696
:1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 12,696,745 . The biggest common factor number is the GCF number.
So the greatest common factor 12,696,745 is 1.
Lets's calculate LCM of 57,91,395
Given numbers has no common factors except 1. So, there LCM is their product i.e 2048865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2048865
Therefore, the GCF of Fractions 12/57,696/91,745/395 is 1/2048865
Least Common Multiple of 57,91,395 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 57,91,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,91,395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,91,395) x common factors =1 x 1 = 1
LCM(57,91,395) = ( 57 × 91 × 395 ) / 1
LCM(57,91,395) = 2048865 / 1
LCM(57,91,395) = 2048865
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 12/57, 696/91, 745/395
1. What is the HCF of 12,696,745?
The HCF of 12,696,745 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 12/57, 696/91, 745/395?
Answer: GCF of Numerators as per given numbers 12/57, 696/91, 745/395 is
GCF of Numerators i.e. for 12,696,745 is 1
LCM of denominators i.e. for 57,91,395 is 2048865.
Thus, GCF of Fractions is 1/2048865.Finally, GCF of Fractions for 12/57, 696/91, 745/395 is 1/2048865.