GCF of 2199/364, 4279/7012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2199/364, 4279/7012 i.e 1/638092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2199/364, 4279/7012.
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 2199/364,4279/7012?
Given fractions are 2199/364,4279/7012
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 2199/364,4279/7012, numerators are 2199,4279
Denominators are 364,7012
The GCF of 2199,4279 is 1 .
LCM of 364,7012 is 638092.
The greatest common factor of 2199/364,4279/7012 = [GCF of 2199,4279]/[LCM of 364,7012]= 1/638092
Therefore, the GCF of 2199/364,4279/7012 is 1/638092.
To find the highest common factor of 2199,4279, we have to find the factors of both numbers and list the highest common factor.
The factors of 2199 are 1, 3, 733, 2199
The factors of 4279 are 1, 11, 389, 4279
The HCF of 2199,4279 is 1.
Lets's calculate GCF of 2199,4279
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2199,4279 By Matching Biggest Common Factor Method
Now, list down the factors of 2199
:1,3,733,2199
Now, list down the factors of 4279
:1,11,389,4279
Greatest Common Factor
We found the factors 2199,4279 . The biggest common factor number is the GCF number.
So the greatest common factor 2199,4279 is 1.
Lets's calculate LCM of 364,7012
| 2 | 364, 7012 |
| 2 | 182, 3506 |
| 91, 1753 |
∴ So the LCM of the given numbers is 2 x 2 x 91 x 1753 = 638092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/638092
Therefore, the GCF of Fractions 2199/364,4279/7012 is 1/638092
Least Common Multiple of 364,7012 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 364,7012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,7012) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(364,7012) x common factors =4 x 1 = 4
LCM(364,7012) = ( 364 × 7012 ) / 4
LCM(364,7012) = 2552368 / 4
LCM(364,7012) = 638092
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FAQs on GCF of Fractions of 2199/364, 4279/7012
1. What is the HCF of 2199,4279?
The HCF of 2199,4279 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 2199/364, 4279/7012?
Answer: GCF of Numerators as per given numbers 2199/364, 4279/7012 is
GCF of Numerators i.e. for 2199,4279 is 1
LCM of denominators i.e. for 364,7012 is 638092.
Thus, GCF of Fractions is 1/638092.Finally, GCF of Fractions for 2199/364, 4279/7012 is 1/638092.