GCF of 637/419, 723/653
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 637/419, 723/653 i.e 1/273607 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/419, 723/653.
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 637/419,723/653?
Given fractions are 637/419,723/653
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 637/419,723/653, numerators are 637,723
Denominators are 419,653
The GCF of 637,723 is 1 .
LCM of 419,653 is 273607.
The greatest common factor of 637/419,723/653 = [GCF of 637,723]/[LCM of 419,653]= 1/273607
Therefore, the GCF of 637/419,723/653 is 1/273607.
To find the highest common factor of 637,723, we have to find the factors of both numbers and list the highest common factor.
The factors of 637 are 1, 7, 13, 49, 91, 637
The factors of 723 are 1, 3, 241, 723
The HCF of 637,723 is 1.
Lets's calculate GCF of 637,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 637,723 By Matching Biggest Common Factor Method
Now, list down the factors of 637
:1,7,13,49,91,637
Now, list down the factors of 723
:1,3,241,723
Greatest Common Factor
We found the factors 637,723 . The biggest common factor number is the GCF number.
So the greatest common factor 637,723 is 1.
Lets's calculate LCM of 419,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 273607
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273607
Therefore, the GCF of Fractions 637/419,723/653 is 1/273607
Least Common Multiple of 419,653 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 419,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,653) x common factors =1 x 1 = 1
LCM(419,653) = ( 419 × 653 ) / 1
LCM(419,653) = 273607 / 1
LCM(419,653) = 273607
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FAQs on GCF of Fractions of 637/419, 723/653
1. What is the HCF of 637,723?
The HCF of 637,723 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 637/419, 723/653?
Answer: GCF of Numerators as per given numbers 637/419, 723/653 is
GCF of Numerators i.e. for 637,723 is 1
LCM of denominators i.e. for 419,653 is 273607.
Thus, GCF of Fractions is 1/273607.Finally, GCF of Fractions for 637/419, 723/653 is 1/273607.