GCF of 5215/347, 1564/208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5215/347, 1564/208 i.e 1/72176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5215/347, 1564/208.
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 5215/347,1564/208?
Given fractions are 5215/347,1564/208
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 5215/347,1564/208, numerators are 5215,1564
Denominators are 347,208
The GCF of 5215,1564 is 1 .
LCM of 347,208 is 72176.
The greatest common factor of 5215/347,1564/208 = [GCF of 5215,1564]/[LCM of 347,208]= 1/72176
Therefore, the GCF of 5215/347,1564/208 is 1/72176.
To find the highest common factor of 5215,1564, we have to find the factors of both numbers and list the highest common factor.
The factors of 5215 are 1, 5, 7, 35, 149, 745, 1043, 5215
The factors of 1564 are 1, 2, 4, 17, 23, 34, 46, 68, 92, 391, 782, 1564
The HCF of 5215,1564 is 1.
Lets's calculate GCF of 5215,1564
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5215,1564 By Matching Biggest Common Factor Method
Now, list down the factors of 5215
:1,5,7,35,149,745,1043,5215
Now, list down the factors of 1564
:1,2,4,17,23,34,46,68,92,391,782,1564
Greatest Common Factor
We found the factors 5215,1564 . The biggest common factor number is the GCF number.
So the greatest common factor 5215,1564 is 1.
Lets's calculate LCM of 347,208
Given numbers has no common factors except 1. So, there LCM is their product i.e 72176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72176
Therefore, the GCF of Fractions 5215/347,1564/208 is 1/72176
Least Common Multiple of 347,208 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 347,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,208) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,208) x common factors =1 x 1 = 1
LCM(347,208) = ( 347 × 208 ) / 1
LCM(347,208) = 72176 / 1
LCM(347,208) = 72176
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FAQs on GCF of Fractions of 5215/347, 1564/208
1. What is the HCF of 5215,1564?
The HCF of 5215,1564 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 5215/347, 1564/208?
Answer: GCF of Numerators as per given numbers 5215/347, 1564/208 is
GCF of Numerators i.e. for 5215,1564 is 1
LCM of denominators i.e. for 347,208 is 72176.
Thus, GCF of Fractions is 1/72176.Finally, GCF of Fractions for 5215/347, 1564/208 is 1/72176.