GCF of 1799/470, 2195/553
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1799/470, 2195/553 i.e 1/259910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1799/470, 2195/553.
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 1799/470,2195/553?
Given fractions are 1799/470,2195/553
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 1799/470,2195/553, numerators are 1799,2195
Denominators are 470,553
The GCF of 1799,2195 is 1 .
LCM of 470,553 is 259910.
The greatest common factor of 1799/470,2195/553 = [GCF of 1799,2195]/[LCM of 470,553]= 1/259910
Therefore, the GCF of 1799/470,2195/553 is 1/259910.
To find the highest common factor of 1799,2195, we have to find the factors of both numbers and list the highest common factor.
The factors of 1799 are 1, 7, 257, 1799
The factors of 2195 are 1, 5, 439, 2195
The HCF of 1799,2195 is 1.
Lets's calculate GCF of 1799,2195
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1799,2195 By Matching Biggest Common Factor Method
Now, list down the factors of 1799
:1,7,257,1799
Now, list down the factors of 2195
:1,5,439,2195
Greatest Common Factor
We found the factors 1799,2195 . The biggest common factor number is the GCF number.
So the greatest common factor 1799,2195 is 1.
Lets's calculate LCM of 470,553
Given numbers has no common factors except 1. So, there LCM is their product i.e 259910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/259910
Therefore, the GCF of Fractions 1799/470,2195/553 is 1/259910
Least Common Multiple of 470,553 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 470,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(470,553) x common factors =1 x 1 = 1
LCM(470,553) = ( 470 × 553 ) / 1
LCM(470,553) = 259910 / 1
LCM(470,553) = 259910
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FAQs on GCF of Fractions of 1799/470, 2195/553
1. What is the HCF of 1799,2195?
The HCF of 1799,2195 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 1799/470, 2195/553?
Answer: GCF of Numerators as per given numbers 1799/470, 2195/553 is
GCF of Numerators i.e. for 1799,2195 is 1
LCM of denominators i.e. for 470,553 is 259910.
Thus, GCF of Fractions is 1/259910.Finally, GCF of Fractions for 1799/470, 2195/553 is 1/259910.