GCF of 5388/101, 8611/7434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5388/101, 8611/7434 i.e 1/750834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5388/101, 8611/7434.
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 5388/101,8611/7434?
Given fractions are 5388/101,8611/7434
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 5388/101,8611/7434, numerators are 5388,8611
Denominators are 101,7434
The GCF of 5388,8611 is 1 .
LCM of 101,7434 is 750834.
The greatest common factor of 5388/101,8611/7434 = [GCF of 5388,8611]/[LCM of 101,7434]= 1/750834
Therefore, the GCF of 5388/101,8611/7434 is 1/750834.
To find the highest common factor of 5388,8611, we have to find the factors of both numbers and list the highest common factor.
The factors of 5388 are 1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388
The factors of 8611 are 1, 79, 109, 8611
The HCF of 5388,8611 is 1.
Lets's calculate GCF of 5388,8611
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5388,8611 By Matching Biggest Common Factor Method
Now, list down the factors of 5388
:1,2,3,4,6,12,449,898,1347,1796,2694,5388
Now, list down the factors of 8611
:1,79,109,8611
Greatest Common Factor
We found the factors 5388,8611 . The biggest common factor number is the GCF number.
So the greatest common factor 5388,8611 is 1.
Lets's calculate LCM of 101,7434
Given numbers has no common factors except 1. So, there LCM is their product i.e 750834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/750834
Therefore, the GCF of Fractions 5388/101,8611/7434 is 1/750834
Least Common Multiple of 101,7434 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 101,7434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,7434) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,7434) x common factors =1 x 1 = 1
LCM(101,7434) = ( 101 × 7434 ) / 1
LCM(101,7434) = 750834 / 1
LCM(101,7434) = 750834
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5388/101, 8611/7434
1. What is the HCF of 5388,8611?
The HCF of 5388,8611 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 5388/101, 8611/7434?
Answer: GCF of Numerators as per given numbers 5388/101, 8611/7434 is
GCF of Numerators i.e. for 5388,8611 is 1
LCM of denominators i.e. for 101,7434 is 750834.
Thus, GCF of Fractions is 1/750834.Finally, GCF of Fractions for 5388/101, 8611/7434 is 1/750834.