GCF of 4377/699, 4909/5290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4377/699, 4909/5290 i.e 1/3697710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4377/699, 4909/5290.
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 4377/699,4909/5290?
Given fractions are 4377/699,4909/5290
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 4377/699,4909/5290, numerators are 4377,4909
Denominators are 699,5290
The GCF of 4377,4909 is 1 .
LCM of 699,5290 is 3697710.
The greatest common factor of 4377/699,4909/5290 = [GCF of 4377,4909]/[LCM of 699,5290]= 1/3697710
Therefore, the GCF of 4377/699,4909/5290 is 1/3697710.
To find the highest common factor of 4377,4909, we have to find the factors of both numbers and list the highest common factor.
The factors of 4377 are 1, 3, 1459, 4377
The factors of 4909 are 1, 4909
The HCF of 4377,4909 is 1.
Lets's calculate GCF of 4377,4909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4377,4909 By Matching Biggest Common Factor Method
Now, list down the factors of 4377
:1,3,1459,4377
Now, list down the factors of 4909
:1,4909
Greatest Common Factor
We found the factors 4377,4909 . The biggest common factor number is the GCF number.
So the greatest common factor 4377,4909 is 1.
Lets's calculate LCM of 699,5290
Given numbers has no common factors except 1. So, there LCM is their product i.e 3697710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3697710
Therefore, the GCF of Fractions 4377/699,4909/5290 is 1/3697710
Least Common Multiple of 699,5290 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 699,5290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,5290) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(699,5290) x common factors =1 x 1 = 1
LCM(699,5290) = ( 699 × 5290 ) / 1
LCM(699,5290) = 3697710 / 1
LCM(699,5290) = 3697710
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FAQs on GCF of Fractions of 4377/699, 4909/5290
1. What is the HCF of 4377,4909?
The HCF of 4377,4909 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 4377/699, 4909/5290?
Answer: GCF of Numerators as per given numbers 4377/699, 4909/5290 is
GCF of Numerators i.e. for 4377,4909 is 1
LCM of denominators i.e. for 699,5290 is 3697710.
Thus, GCF of Fractions is 1/3697710.Finally, GCF of Fractions for 4377/699, 4909/5290 is 1/3697710.