GCF of 6279/699, 3531/4259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6279/699, 3531/4259 i.e 3/2977041 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6279/699, 3531/4259.
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 6279/699,3531/4259?
Given fractions are 6279/699,3531/4259
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 6279/699,3531/4259, numerators are 6279,3531
Denominators are 699,4259
The GCF of 6279,3531 is 3 .
LCM of 699,4259 is 2977041.
The greatest common factor of 6279/699,3531/4259 = [GCF of 6279,3531]/[LCM of 699,4259]= 3/2977041
Therefore, the GCF of 6279/699,3531/4259 is 3/2977041.
To find the highest common factor of 6279,3531, we have to find the factors of both numbers and list the highest common factor.
The factors of 6279 are 1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 273, 299, 483, 897, 2093, 6279
The factors of 3531 are 1, 3, 11, 33, 107, 321, 1177, 3531
The HCF of 6279,3531 is 3.
Lets's calculate GCF of 6279,3531
| 3 | 6279, 3531 |
| 2093, 1177 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6279,3531 By Matching Biggest Common Factor Method
Now, list down the factors of 6279
:1,3,7,13,21,23,39,69,91,161,273,299,483,897,2093,6279
Now, list down the factors of 3531
:1,3,11,33,107,321,1177,3531
Greatest Common Factor
We found the factors 6279,3531 . The biggest common factor number is the GCF number.
So the greatest common factor 6279,3531 is 3.
Lets's calculate LCM of 699,4259
Given numbers has no common factors except 1. So, there LCM is their product i.e 2977041
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2977041
Therefore, the GCF of Fractions 6279/699,3531/4259 is 3/2977041
Least Common Multiple of 699,4259 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 699,4259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,4259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(699,4259) x common factors =1 x 1 = 1
LCM(699,4259) = ( 699 × 4259 ) / 1
LCM(699,4259) = 2977041 / 1
LCM(699,4259) = 2977041
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FAQs on GCF of Fractions of 6279/699, 3531/4259
1. What is the HCF of 6279,3531?
The HCF of 6279,3531 is 3
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 6279/699, 3531/4259?
Answer: GCF of Numerators as per given numbers 6279/699, 3531/4259 is
GCF of Numerators i.e. for 6279,3531 is 3
LCM of denominators i.e. for 699,4259 is 2977041.
Thus, GCF of Fractions is 3/2977041.Finally, GCF of Fractions for 6279/699, 3531/4259 is 3/2977041.