GCF of 5587/206, 5664/1169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5587/206, 5664/1169 i.e 1/240814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5587/206, 5664/1169.
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 5587/206,5664/1169?
Given fractions are 5587/206,5664/1169
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 5587/206,5664/1169, numerators are 5587,5664
Denominators are 206,1169
The GCF of 5587,5664 is 1 .
LCM of 206,1169 is 240814.
The greatest common factor of 5587/206,5664/1169 = [GCF of 5587,5664]/[LCM of 206,1169]= 1/240814
Therefore, the GCF of 5587/206,5664/1169 is 1/240814.
To find the highest common factor of 5587,5664, we have to find the factors of both numbers and list the highest common factor.
The factors of 5587 are 1, 37, 151, 5587
The factors of 5664 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664
The HCF of 5587,5664 is 1.
Lets's calculate GCF of 5587,5664
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5587,5664 By Matching Biggest Common Factor Method
Now, list down the factors of 5587
:1,37,151,5587
Now, list down the factors of 5664
:1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664
Greatest Common Factor
We found the factors 5587,5664 . The biggest common factor number is the GCF number.
So the greatest common factor 5587,5664 is 1.
Lets's calculate LCM of 206,1169
Given numbers has no common factors except 1. So, there LCM is their product i.e 240814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240814
Therefore, the GCF of Fractions 5587/206,5664/1169 is 1/240814
Least Common Multiple of 206,1169 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 206,1169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,1169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,1169) x common factors =1 x 1 = 1
LCM(206,1169) = ( 206 × 1169 ) / 1
LCM(206,1169) = 240814 / 1
LCM(206,1169) = 240814
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FAQs on GCF of Fractions of 5587/206, 5664/1169
1. What is the HCF of 5587,5664?
The HCF of 5587,5664 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 5587/206, 5664/1169?
Answer: GCF of Numerators as per given numbers 5587/206, 5664/1169 is
GCF of Numerators i.e. for 5587,5664 is 1
LCM of denominators i.e. for 206,1169 is 240814.
Thus, GCF of Fractions is 1/240814.Finally, GCF of Fractions for 5587/206, 5664/1169 is 1/240814.