GCF of 5377/678, 8286/9905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5377/678, 8286/9905 i.e 1/6715590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5377/678, 8286/9905.
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 5377/678,8286/9905?
Given fractions are 5377/678,8286/9905
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 5377/678,8286/9905, numerators are 5377,8286
Denominators are 678,9905
The GCF of 5377,8286 is 1 .
LCM of 678,9905 is 6715590.
The greatest common factor of 5377/678,8286/9905 = [GCF of 5377,8286]/[LCM of 678,9905]= 1/6715590
Therefore, the GCF of 5377/678,8286/9905 is 1/6715590.
To find the highest common factor of 5377,8286, we have to find the factors of both numbers and list the highest common factor.
The factors of 5377 are 1, 19, 283, 5377
The factors of 8286 are 1, 2, 3, 6, 1381, 2762, 4143, 8286
The HCF of 5377,8286 is 1.
Lets's calculate GCF of 5377,8286
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5377,8286 By Matching Biggest Common Factor Method
Now, list down the factors of 5377
:1,19,283,5377
Now, list down the factors of 8286
:1,2,3,6,1381,2762,4143,8286
Greatest Common Factor
We found the factors 5377,8286 . The biggest common factor number is the GCF number.
So the greatest common factor 5377,8286 is 1.
Lets's calculate LCM of 678,9905
Given numbers has no common factors except 1. So, there LCM is their product i.e 6715590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6715590
Therefore, the GCF of Fractions 5377/678,8286/9905 is 1/6715590
Least Common Multiple of 678,9905 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 678,9905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,9905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(678,9905) x common factors =1 x 1 = 1
LCM(678,9905) = ( 678 × 9905 ) / 1
LCM(678,9905) = 6715590 / 1
LCM(678,9905) = 6715590
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5377/678, 8286/9905
1. What is the HCF of 5377,8286?
The HCF of 5377,8286 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 5377/678, 8286/9905?
Answer: GCF of Numerators as per given numbers 5377/678, 8286/9905 is
GCF of Numerators i.e. for 5377,8286 is 1
LCM of denominators i.e. for 678,9905 is 6715590.
Thus, GCF of Fractions is 1/6715590.Finally, GCF of Fractions for 5377/678, 8286/9905 is 1/6715590.