GCF of 3695/407, 5600/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3695/407, 5600/309 i.e 5/125763 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3695/407, 5600/309.
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 3695/407,5600/309?
Given fractions are 3695/407,5600/309
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 3695/407,5600/309, numerators are 3695,5600
Denominators are 407,309
The GCF of 3695,5600 is 5 .
LCM of 407,309 is 125763.
The greatest common factor of 3695/407,5600/309 = [GCF of 3695,5600]/[LCM of 407,309]= 5/125763
Therefore, the GCF of 3695/407,5600/309 is 5/125763.
To find the highest common factor of 3695,5600, we have to find the factors of both numbers and list the highest common factor.
The factors of 3695 are 1, 5, 739, 3695
The factors of 5600 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600
The HCF of 3695,5600 is 5.
Lets's calculate GCF of 3695,5600
| 5 | 3695, 5600 |
| 739, 1120 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3695,5600 By Matching Biggest Common Factor Method
Now, list down the factors of 3695
:1,5,739,3695
Now, list down the factors of 5600
:1,2,4,5,7,8,10,14,16,20,25,28,32,35,40,50,56,70,80,100,112,140,160,175,200,224,280,350,400,560,700,800,1120,1400,2800,5600
Greatest Common Factor
We found the factors 3695,5600 . The biggest common factor number is the GCF number.
So the greatest common factor 3695,5600 is 5.
Lets's calculate LCM of 407,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 125763
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/125763
Therefore, the GCF of Fractions 3695/407,5600/309 is 5/125763
Least Common Multiple of 407,309 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 407,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,309) x common factors =1 x 1 = 1
LCM(407,309) = ( 407 × 309 ) / 1
LCM(407,309) = 125763 / 1
LCM(407,309) = 125763
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3695/407, 5600/309
1. What is the HCF of 3695,5600?
The HCF of 3695,5600 is 5
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 3695/407, 5600/309?
Answer: GCF of Numerators as per given numbers 3695/407, 5600/309 is
GCF of Numerators i.e. for 3695,5600 is 5
LCM of denominators i.e. for 407,309 is 125763.
Thus, GCF of Fractions is 5/125763.Finally, GCF of Fractions for 3695/407, 5600/309 is 5/125763.