GCF of 6099/362, 3214/2210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6099/362, 3214/2210 i.e 1/400010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6099/362, 3214/2210.
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 6099/362,3214/2210?
Given fractions are 6099/362,3214/2210
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 6099/362,3214/2210, numerators are 6099,3214
Denominators are 362,2210
The GCF of 6099,3214 is 1 .
LCM of 362,2210 is 400010.
The greatest common factor of 6099/362,3214/2210 = [GCF of 6099,3214]/[LCM of 362,2210]= 1/400010
Therefore, the GCF of 6099/362,3214/2210 is 1/400010.
To find the highest common factor of 6099,3214, we have to find the factors of both numbers and list the highest common factor.
The factors of 6099 are 1, 3, 19, 57, 107, 321, 2033, 6099
The factors of 3214 are 1, 2, 1607, 3214
The HCF of 6099,3214 is 1.
Lets's calculate GCF of 6099,3214
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6099,3214 By Matching Biggest Common Factor Method
Now, list down the factors of 6099
:1,3,19,57,107,321,2033,6099
Now, list down the factors of 3214
:1,2,1607,3214
Greatest Common Factor
We found the factors 6099,3214 . The biggest common factor number is the GCF number.
So the greatest common factor 6099,3214 is 1.
Lets's calculate LCM of 362,2210
| 2 | 362, 2210 |
| 181, 1105 |
∴ So the LCM of the given numbers is 2 x 181 x 1105 = 400010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/400010
Therefore, the GCF of Fractions 6099/362,3214/2210 is 1/400010
Least Common Multiple of 362,2210 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 362,2210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,2210) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,2210) x common factors =2 x 1 = 2
LCM(362,2210) = ( 362 × 2210 ) / 2
LCM(362,2210) = 800020 / 2
LCM(362,2210) = 400010
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6099/362, 3214/2210
1. What is the HCF of 6099,3214?
The HCF of 6099,3214 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 6099/362, 3214/2210?
Answer: GCF of Numerators as per given numbers 6099/362, 3214/2210 is
GCF of Numerators i.e. for 6099,3214 is 1
LCM of denominators i.e. for 362,2210 is 400010.
Thus, GCF of Fractions is 1/400010.Finally, GCF of Fractions for 6099/362, 3214/2210 is 1/400010.