GCF of 4419/763, 1957/1779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4419/763, 1957/1779 i.e 1/1357377 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4419/763, 1957/1779.
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 4419/763,1957/1779?
Given fractions are 4419/763,1957/1779
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 4419/763,1957/1779, numerators are 4419,1957
Denominators are 763,1779
The GCF of 4419,1957 is 1 .
LCM of 763,1779 is 1357377.
The greatest common factor of 4419/763,1957/1779 = [GCF of 4419,1957]/[LCM of 763,1779]= 1/1357377
Therefore, the GCF of 4419/763,1957/1779 is 1/1357377.
To find the highest common factor of 4419,1957, we have to find the factors of both numbers and list the highest common factor.
The factors of 4419 are 1, 3, 9, 491, 1473, 4419
The factors of 1957 are 1, 19, 103, 1957
The HCF of 4419,1957 is 1.
Lets's calculate GCF of 4419,1957
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4419,1957 By Matching Biggest Common Factor Method
Now, list down the factors of 4419
:1,3,9,491,1473,4419
Now, list down the factors of 1957
:1,19,103,1957
Greatest Common Factor
We found the factors 4419,1957 . The biggest common factor number is the GCF number.
So the greatest common factor 4419,1957 is 1.
Lets's calculate LCM of 763,1779
Given numbers has no common factors except 1. So, there LCM is their product i.e 1357377
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1357377
Therefore, the GCF of Fractions 4419/763,1957/1779 is 1/1357377
Least Common Multiple of 763,1779 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 763,1779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,1779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,1779) x common factors =1 x 1 = 1
LCM(763,1779) = ( 763 × 1779 ) / 1
LCM(763,1779) = 1357377 / 1
LCM(763,1779) = 1357377
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4419/763, 1957/1779
1. What is the HCF of 4419,1957?
The HCF of 4419,1957 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 4419/763, 1957/1779?
Answer: GCF of Numerators as per given numbers 4419/763, 1957/1779 is
GCF of Numerators i.e. for 4419,1957 is 1
LCM of denominators i.e. for 763,1779 is 1357377.
Thus, GCF of Fractions is 1/1357377.Finally, GCF of Fractions for 4419/763, 1957/1779 is 1/1357377.