GCF of 4429/709, 6869/4976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4429/709, 6869/4976 i.e 1/3527984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4429/709, 6869/4976.
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 4429/709,6869/4976?
Given fractions are 4429/709,6869/4976
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 4429/709,6869/4976, numerators are 4429,6869
Denominators are 709,4976
The GCF of 4429,6869 is 1 .
LCM of 709,4976 is 3527984.
The greatest common factor of 4429/709,6869/4976 = [GCF of 4429,6869]/[LCM of 709,4976]= 1/3527984
Therefore, the GCF of 4429/709,6869/4976 is 1/3527984.
To find the highest common factor of 4429,6869, we have to find the factors of both numbers and list the highest common factor.
The factors of 4429 are 1, 43, 103, 4429
The factors of 6869 are 1, 6869
The HCF of 4429,6869 is 1.
Lets's calculate GCF of 4429,6869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4429,6869 By Matching Biggest Common Factor Method
Now, list down the factors of 4429
:1,43,103,4429
Now, list down the factors of 6869
:1,6869
Greatest Common Factor
We found the factors 4429,6869 . The biggest common factor number is the GCF number.
So the greatest common factor 4429,6869 is 1.
Lets's calculate LCM of 709,4976
Given numbers has no common factors except 1. So, there LCM is their product i.e 3527984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3527984
Therefore, the GCF of Fractions 4429/709,6869/4976 is 1/3527984
Least Common Multiple of 709,4976 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 709,4976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,4976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,4976) x common factors =1 x 1 = 1
LCM(709,4976) = ( 709 × 4976 ) / 1
LCM(709,4976) = 3527984 / 1
LCM(709,4976) = 3527984
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4429/709, 6869/4976
1. What is the HCF of 4429,6869?
The HCF of 4429,6869 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 4429/709, 6869/4976?
Answer: GCF of Numerators as per given numbers 4429/709, 6869/4976 is
GCF of Numerators i.e. for 4429,6869 is 1
LCM of denominators i.e. for 709,4976 is 3527984.
Thus, GCF of Fractions is 1/3527984.Finally, GCF of Fractions for 4429/709, 6869/4976 is 1/3527984.