GCF of 675/649, 172/756
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 675/649, 172/756 i.e 1/490644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 675/649, 172/756.
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 675/649,172/756?
Given fractions are 675/649,172/756
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 675/649,172/756, numerators are 675,172
Denominators are 649,756
The GCF of 675,172 is 1 .
LCM of 649,756 is 490644.
The greatest common factor of 675/649,172/756 = [GCF of 675,172]/[LCM of 649,756]= 1/490644
Therefore, the GCF of 675/649,172/756 is 1/490644.
To find the highest common factor of 675,172, we have to find the factors of both numbers and list the highest common factor.
The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
The factors of 172 are 1, 2, 4, 43, 86, 172
The HCF of 675,172 is 1.
Lets's calculate GCF of 675,172
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 675,172 By Matching Biggest Common Factor Method
Now, list down the factors of 675
:1,3,5,9,15,25,27,45,75,135,225,675
Now, list down the factors of 172
:1,2,4,43,86,172
Greatest Common Factor
We found the factors 675,172 . The biggest common factor number is the GCF number.
So the greatest common factor 675,172 is 1.
Lets's calculate LCM of 649,756
Given numbers has no common factors except 1. So, there LCM is their product i.e 490644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/490644
Therefore, the GCF of Fractions 675/649,172/756 is 1/490644
Least Common Multiple of 649,756 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 649,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,756) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,756) x common factors =1 x 1 = 1
LCM(649,756) = ( 649 × 756 ) / 1
LCM(649,756) = 490644 / 1
LCM(649,756) = 490644
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 675/649, 172/756
1. What is the HCF of 675,172?
The HCF of 675,172 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 675/649, 172/756?
Answer: GCF of Numerators as per given numbers 675/649, 172/756 is
GCF of Numerators i.e. for 675,172 is 1
LCM of denominators i.e. for 649,756 is 490644.
Thus, GCF of Fractions is 1/490644.Finally, GCF of Fractions for 675/649, 172/756 is 1/490644.