GCF of 7780/718, 5905/4439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7780/718, 5905/4439 i.e 5/3187202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7780/718, 5905/4439.
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 7780/718,5905/4439?
Given fractions are 7780/718,5905/4439
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 7780/718,5905/4439, numerators are 7780,5905
Denominators are 718,4439
The GCF of 7780,5905 is 5 .
LCM of 718,4439 is 3187202.
The greatest common factor of 7780/718,5905/4439 = [GCF of 7780,5905]/[LCM of 718,4439]= 5/3187202
Therefore, the GCF of 7780/718,5905/4439 is 5/3187202.
To find the highest common factor of 7780,5905, we have to find the factors of both numbers and list the highest common factor.
The factors of 7780 are 1, 2, 4, 5, 10, 20, 389, 778, 1556, 1945, 3890, 7780
The factors of 5905 are 1, 5, 1181, 5905
The HCF of 7780,5905 is 5.
Lets's calculate GCF of 7780,5905
| 5 | 7780, 5905 |
| 1556, 1181 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7780,5905 By Matching Biggest Common Factor Method
Now, list down the factors of 7780
:1,2,4,5,10,20,389,778,1556,1945,3890,7780
Now, list down the factors of 5905
:1,5,1181,5905
Greatest Common Factor
We found the factors 7780,5905 . The biggest common factor number is the GCF number.
So the greatest common factor 7780,5905 is 5.
Lets's calculate LCM of 718,4439
Given numbers has no common factors except 1. So, there LCM is their product i.e 3187202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3187202
Therefore, the GCF of Fractions 7780/718,5905/4439 is 5/3187202
Least Common Multiple of 718,4439 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 718,4439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,4439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(718,4439) x common factors =1 x 1 = 1
LCM(718,4439) = ( 718 × 4439 ) / 1
LCM(718,4439) = 3187202 / 1
LCM(718,4439) = 3187202
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7780/718, 5905/4439
1. What is the HCF of 7780,5905?
The HCF of 7780,5905 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 7780/718, 5905/4439?
Answer: GCF of Numerators as per given numbers 7780/718, 5905/4439 is
GCF of Numerators i.e. for 7780,5905 is 5
LCM of denominators i.e. for 718,4439 is 3187202.
Thus, GCF of Fractions is 5/3187202.Finally, GCF of Fractions for 7780/718, 5905/4439 is 5/3187202.