GCF of 2213/719, 1769/1249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2213/719, 1769/1249 i.e 1/898031 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2213/719, 1769/1249.
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 2213/719,1769/1249?
Given fractions are 2213/719,1769/1249
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 2213/719,1769/1249, numerators are 2213,1769
Denominators are 719,1249
The GCF of 2213,1769 is 1 .
LCM of 719,1249 is 898031.
The greatest common factor of 2213/719,1769/1249 = [GCF of 2213,1769]/[LCM of 719,1249]= 1/898031
Therefore, the GCF of 2213/719,1769/1249 is 1/898031.
To find the highest common factor of 2213,1769, we have to find the factors of both numbers and list the highest common factor.
The factors of 2213 are 1, 2213
The factors of 1769 are 1, 29, 61, 1769
The HCF of 2213,1769 is 1.
Lets's calculate GCF of 2213,1769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2213,1769 By Matching Biggest Common Factor Method
Now, list down the factors of 2213
:1,2213
Now, list down the factors of 1769
:1,29,61,1769
Greatest Common Factor
We found the factors 2213,1769 . The biggest common factor number is the GCF number.
So the greatest common factor 2213,1769 is 1.
Lets's calculate LCM of 719,1249
Given numbers has no common factors except 1. So, there LCM is their product i.e 898031
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/898031
Therefore, the GCF of Fractions 2213/719,1769/1249 is 1/898031
Least Common Multiple of 719,1249 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 719,1249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,1249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,1249) x common factors =1 x 1 = 1
LCM(719,1249) = ( 719 × 1249 ) / 1
LCM(719,1249) = 898031 / 1
LCM(719,1249) = 898031
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2213/719, 1769/1249
1. What is the HCF of 2213,1769?
The HCF of 2213,1769 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 2213/719, 1769/1249?
Answer: GCF of Numerators as per given numbers 2213/719, 1769/1249 is
GCF of Numerators i.e. for 2213,1769 is 1
LCM of denominators i.e. for 719,1249 is 898031.
Thus, GCF of Fractions is 1/898031.Finally, GCF of Fractions for 2213/719, 1769/1249 is 1/898031.