GCF of 400/77, 797/3609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 400/77, 797/3609 i.e 1/277893 easily. The following is the detailed procedure to determine the greatest common factor of fractions 400/77, 797/3609.
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 400/77,797/3609?
Given fractions are 400/77,797/3609
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 400/77,797/3609, numerators are 400,797
Denominators are 77,3609
The GCF of 400,797 is 1 .
LCM of 77,3609 is 277893.
The greatest common factor of 400/77,797/3609 = [GCF of 400,797]/[LCM of 77,3609]= 1/277893
Therefore, the GCF of 400/77,797/3609 is 1/277893.
To find the highest common factor of 400,797, we have to find the factors of both numbers and list the highest common factor.
The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
The factors of 797 are 1, 797
The HCF of 400,797 is 1.
Lets's calculate GCF of 400,797
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 400,797 By Matching Biggest Common Factor Method
Now, list down the factors of 400
:1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Now, list down the factors of 797
:1,797
Greatest Common Factor
We found the factors 400,797 . The biggest common factor number is the GCF number.
So the greatest common factor 400,797 is 1.
Lets's calculate LCM of 77,3609
Given numbers has no common factors except 1. So, there LCM is their product i.e 277893
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277893
Therefore, the GCF of Fractions 400/77,797/3609 is 1/277893
Least Common Multiple of 77,3609 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 77,3609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,3609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,3609) x common factors =1 x 1 = 1
LCM(77,3609) = ( 77 × 3609 ) / 1
LCM(77,3609) = 277893 / 1
LCM(77,3609) = 277893
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 400/77, 797/3609
1. What is the HCF of 400,797?
The HCF of 400,797 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 400/77, 797/3609?
Answer: GCF of Numerators as per given numbers 400/77, 797/3609 is
GCF of Numerators i.e. for 400,797 is 1
LCM of denominators i.e. for 77,3609 is 277893.
Thus, GCF of Fractions is 1/277893.Finally, GCF of Fractions for 400/77, 797/3609 is 1/277893.