GCF of 4016/274, 5719/349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4016/274, 5719/349 i.e 1/95626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4016/274, 5719/349.
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 4016/274,5719/349?
Given fractions are 4016/274,5719/349
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 4016/274,5719/349, numerators are 4016,5719
Denominators are 274,349
The GCF of 4016,5719 is 1 .
LCM of 274,349 is 95626.
The greatest common factor of 4016/274,5719/349 = [GCF of 4016,5719]/[LCM of 274,349]= 1/95626
Therefore, the GCF of 4016/274,5719/349 is 1/95626.
To find the highest common factor of 4016,5719, we have to find the factors of both numbers and list the highest common factor.
The factors of 4016 are 1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016
The factors of 5719 are 1, 7, 19, 43, 133, 301, 817, 5719
The HCF of 4016,5719 is 1.
Lets's calculate GCF of 4016,5719
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4016,5719 By Matching Biggest Common Factor Method
Now, list down the factors of 4016
:1,2,4,8,16,251,502,1004,2008,4016
Now, list down the factors of 5719
:1,7,19,43,133,301,817,5719
Greatest Common Factor
We found the factors 4016,5719 . The biggest common factor number is the GCF number.
So the greatest common factor 4016,5719 is 1.
Lets's calculate LCM of 274,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 95626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95626
Therefore, the GCF of Fractions 4016/274,5719/349 is 1/95626
Least Common Multiple of 274,349 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 274,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(274,349) x common factors =1 x 1 = 1
LCM(274,349) = ( 274 × 349 ) / 1
LCM(274,349) = 95626 / 1
LCM(274,349) = 95626
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FAQs on GCF of Fractions of 4016/274, 5719/349
1. What is the HCF of 4016,5719?
The HCF of 4016,5719 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 4016/274, 5719/349?
Answer: GCF of Numerators as per given numbers 4016/274, 5719/349 is
GCF of Numerators i.e. for 4016,5719 is 1
LCM of denominators i.e. for 274,349 is 95626.
Thus, GCF of Fractions is 1/95626.Finally, GCF of Fractions for 4016/274, 5719/349 is 1/95626.