GCF of 5364/836, 6569/229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5364/836, 6569/229 i.e 1/191444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5364/836, 6569/229.
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 5364/836,6569/229?
Given fractions are 5364/836,6569/229
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 5364/836,6569/229, numerators are 5364,6569
Denominators are 836,229
The GCF of 5364,6569 is 1 .
LCM of 836,229 is 191444.
The greatest common factor of 5364/836,6569/229 = [GCF of 5364,6569]/[LCM of 836,229]= 1/191444
Therefore, the GCF of 5364/836,6569/229 is 1/191444.
To find the highest common factor of 5364,6569, we have to find the factors of both numbers and list the highest common factor.
The factors of 5364 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682, 5364
The factors of 6569 are 1, 6569
The HCF of 5364,6569 is 1.
Lets's calculate GCF of 5364,6569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5364,6569 By Matching Biggest Common Factor Method
Now, list down the factors of 5364
:1,2,3,4,6,9,12,18,36,149,298,447,596,894,1341,1788,2682,5364
Now, list down the factors of 6569
:1,6569
Greatest Common Factor
We found the factors 5364,6569 . The biggest common factor number is the GCF number.
So the greatest common factor 5364,6569 is 1.
Lets's calculate LCM of 836,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 191444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191444
Therefore, the GCF of Fractions 5364/836,6569/229 is 1/191444
Least Common Multiple of 836,229 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 836,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(836,229) x common factors =1 x 1 = 1
LCM(836,229) = ( 836 × 229 ) / 1
LCM(836,229) = 191444 / 1
LCM(836,229) = 191444
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FAQs on GCF of Fractions of 5364/836, 6569/229
1. What is the HCF of 5364,6569?
The HCF of 5364,6569 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 5364/836, 6569/229?
Answer: GCF of Numerators as per given numbers 5364/836, 6569/229 is
GCF of Numerators i.e. for 5364,6569 is 1
LCM of denominators i.e. for 836,229 is 191444.
Thus, GCF of Fractions is 1/191444.Finally, GCF of Fractions for 5364/836, 6569/229 is 1/191444.