GCF of 440/789, 5445/6406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 440/789, 5445/6406 i.e 55/5054334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/789, 5445/6406.
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 440/789,5445/6406?
Given fractions are 440/789,5445/6406
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 440/789,5445/6406, numerators are 440,5445
Denominators are 789,6406
The GCF of 440,5445 is 55 .
LCM of 789,6406 is 5054334.
The greatest common factor of 440/789,5445/6406 = [GCF of 440,5445]/[LCM of 789,6406]= 55/5054334
Therefore, the GCF of 440/789,5445/6406 is 55/5054334.
To find the highest common factor of 440,5445, we have to find the factors of both numbers and list the highest common factor.
The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The factors of 5445 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445
The HCF of 440,5445 is 55.
Lets's calculate GCF of 440,5445
| 5 | 440, 5445 |
| 11 | 88, 1089 |
| 8, 99 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 440,5445 By Matching Biggest Common Factor Method
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Now, list down the factors of 5445
:1,3,5,9,11,15,33,45,55,99,121,165,363,495,605,1089,1815,5445
Greatest Common Factor
We found the factors 440,5445 . The biggest common factor number is the GCF number.
So the greatest common factor 440,5445 is 55.
Lets's calculate LCM of 789,6406
Given numbers has no common factors except 1. So, there LCM is their product i.e 5054334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/5054334
Therefore, the GCF of Fractions 440/789,5445/6406 is 55/5054334
Least Common Multiple of 789,6406 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 789,6406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,6406) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(789,6406) x common factors =1 x 1 = 1
LCM(789,6406) = ( 789 × 6406 ) / 1
LCM(789,6406) = 5054334 / 1
LCM(789,6406) = 5054334
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 440/789, 5445/6406
1. What is the HCF of 440,5445?
The HCF of 440,5445 is 55
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 440/789, 5445/6406?
Answer: GCF of Numerators as per given numbers 440/789, 5445/6406 is
GCF of Numerators i.e. for 440,5445 is 55
LCM of denominators i.e. for 789,6406 is 5054334.
Thus, GCF of Fractions is 55/5054334.Finally, GCF of Fractions for 440/789, 5445/6406 is 55/5054334.