GCF of 3817/273, 2719/5602
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3817/273, 2719/5602 i.e 1/1529346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3817/273, 2719/5602.
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 3817/273,2719/5602?
Given fractions are 3817/273,2719/5602
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 3817/273,2719/5602, numerators are 3817,2719
Denominators are 273,5602
The GCF of 3817,2719 is 1 .
LCM of 273,5602 is 1529346.
The greatest common factor of 3817/273,2719/5602 = [GCF of 3817,2719]/[LCM of 273,5602]= 1/1529346
Therefore, the GCF of 3817/273,2719/5602 is 1/1529346.
To find the highest common factor of 3817,2719, we have to find the factors of both numbers and list the highest common factor.
The factors of 3817 are 1, 11, 347, 3817
The factors of 2719 are 1, 2719
The HCF of 3817,2719 is 1.
Lets's calculate GCF of 3817,2719
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3817,2719 By Matching Biggest Common Factor Method
Now, list down the factors of 3817
:1,11,347,3817
Now, list down the factors of 2719
:1,2719
Greatest Common Factor
We found the factors 3817,2719 . The biggest common factor number is the GCF number.
So the greatest common factor 3817,2719 is 1.
Lets's calculate LCM of 273,5602
Given numbers has no common factors except 1. So, there LCM is their product i.e 1529346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1529346
Therefore, the GCF of Fractions 3817/273,2719/5602 is 1/1529346
Least Common Multiple of 273,5602 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 273,5602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,5602) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,5602) x common factors =1 x 1 = 1
LCM(273,5602) = ( 273 × 5602 ) / 1
LCM(273,5602) = 1529346 / 1
LCM(273,5602) = 1529346
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FAQs on GCF of Fractions of 3817/273, 2719/5602
1. What is the HCF of 3817,2719?
The HCF of 3817,2719 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 3817/273, 2719/5602?
Answer: GCF of Numerators as per given numbers 3817/273, 2719/5602 is
GCF of Numerators i.e. for 3817,2719 is 1
LCM of denominators i.e. for 273,5602 is 1529346.
Thus, GCF of Fractions is 1/1529346.Finally, GCF of Fractions for 3817/273, 2719/5602 is 1/1529346.