GCF of 5211/985, 8594/2233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5211/985, 8594/2233 i.e 1/2199505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5211/985, 8594/2233.
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 5211/985,8594/2233?
Given fractions are 5211/985,8594/2233
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 5211/985,8594/2233, numerators are 5211,8594
Denominators are 985,2233
The GCF of 5211,8594 is 1 .
LCM of 985,2233 is 2199505.
The greatest common factor of 5211/985,8594/2233 = [GCF of 5211,8594]/[LCM of 985,2233]= 1/2199505
Therefore, the GCF of 5211/985,8594/2233 is 1/2199505.
To find the highest common factor of 5211,8594, we have to find the factors of both numbers and list the highest common factor.
The factors of 5211 are 1, 3, 9, 27, 193, 579, 1737, 5211
The factors of 8594 are 1, 2, 4297, 8594
The HCF of 5211,8594 is 1.
Lets's calculate GCF of 5211,8594
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5211,8594 By Matching Biggest Common Factor Method
Now, list down the factors of 5211
:1,3,9,27,193,579,1737,5211
Now, list down the factors of 8594
:1,2,4297,8594
Greatest Common Factor
We found the factors 5211,8594 . The biggest common factor number is the GCF number.
So the greatest common factor 5211,8594 is 1.
Lets's calculate LCM of 985,2233
Given numbers has no common factors except 1. So, there LCM is their product i.e 2199505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2199505
Therefore, the GCF of Fractions 5211/985,8594/2233 is 1/2199505
Least Common Multiple of 985,2233 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 985,2233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,2233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,2233) x common factors =1 x 1 = 1
LCM(985,2233) = ( 985 × 2233 ) / 1
LCM(985,2233) = 2199505 / 1
LCM(985,2233) = 2199505
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FAQs on GCF of Fractions of 5211/985, 8594/2233
1. What is the HCF of 5211,8594?
The HCF of 5211,8594 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 5211/985, 8594/2233?
Answer: GCF of Numerators as per given numbers 5211/985, 8594/2233 is
GCF of Numerators i.e. for 5211,8594 is 1
LCM of denominators i.e. for 985,2233 is 2199505.
Thus, GCF of Fractions is 1/2199505.Finally, GCF of Fractions for 5211/985, 8594/2233 is 1/2199505.