GCF of 1216/581, 5555/7736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1216/581, 5555/7736 i.e 1/4494616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1216/581, 5555/7736.
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 1216/581,5555/7736?
Given fractions are 1216/581,5555/7736
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 1216/581,5555/7736, numerators are 1216,5555
Denominators are 581,7736
The GCF of 1216,5555 is 1 .
LCM of 581,7736 is 4494616.
The greatest common factor of 1216/581,5555/7736 = [GCF of 1216,5555]/[LCM of 581,7736]= 1/4494616
Therefore, the GCF of 1216/581,5555/7736 is 1/4494616.
To find the highest common factor of 1216,5555, we have to find the factors of both numbers and list the highest common factor.
The factors of 1216 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216
The factors of 5555 are 1, 5, 11, 55, 101, 505, 1111, 5555
The HCF of 1216,5555 is 1.
Lets's calculate GCF of 1216,5555
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1216,5555 By Matching Biggest Common Factor Method
Now, list down the factors of 1216
:1,2,4,8,16,19,32,38,64,76,152,304,608,1216
Now, list down the factors of 5555
:1,5,11,55,101,505,1111,5555
Greatest Common Factor
We found the factors 1216,5555 . The biggest common factor number is the GCF number.
So the greatest common factor 1216,5555 is 1.
Lets's calculate LCM of 581,7736
Given numbers has no common factors except 1. So, there LCM is their product i.e 4494616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4494616
Therefore, the GCF of Fractions 1216/581,5555/7736 is 1/4494616
Least Common Multiple of 581,7736 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 581,7736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,7736) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,7736) x common factors =1 x 1 = 1
LCM(581,7736) = ( 581 × 7736 ) / 1
LCM(581,7736) = 4494616 / 1
LCM(581,7736) = 4494616
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1216/581, 5555/7736
1. What is the HCF of 1216,5555?
The HCF of 1216,5555 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 1216/581, 5555/7736?
Answer: GCF of Numerators as per given numbers 1216/581, 5555/7736 is
GCF of Numerators i.e. for 1216,5555 is 1
LCM of denominators i.e. for 581,7736 is 4494616.
Thus, GCF of Fractions is 1/4494616.Finally, GCF of Fractions for 1216/581, 5555/7736 is 1/4494616.