GCF of 6199/299, 6465/590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6199/299, 6465/590 i.e 1/176410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6199/299, 6465/590.
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 6199/299,6465/590?
Given fractions are 6199/299,6465/590
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 6199/299,6465/590, numerators are 6199,6465
Denominators are 299,590
The GCF of 6199,6465 is 1 .
LCM of 299,590 is 176410.
The greatest common factor of 6199/299,6465/590 = [GCF of 6199,6465]/[LCM of 299,590]= 1/176410
Therefore, the GCF of 6199/299,6465/590 is 1/176410.
To find the highest common factor of 6199,6465, we have to find the factors of both numbers and list the highest common factor.
The factors of 6199 are 1, 6199
The factors of 6465 are 1, 3, 5, 15, 431, 1293, 2155, 6465
The HCF of 6199,6465 is 1.
Lets's calculate GCF of 6199,6465
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6199,6465 By Matching Biggest Common Factor Method
Now, list down the factors of 6199
:1,6199
Now, list down the factors of 6465
:1,3,5,15,431,1293,2155,6465
Greatest Common Factor
We found the factors 6199,6465 . The biggest common factor number is the GCF number.
So the greatest common factor 6199,6465 is 1.
Lets's calculate LCM of 299,590
Given numbers has no common factors except 1. So, there LCM is their product i.e 176410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176410
Therefore, the GCF of Fractions 6199/299,6465/590 is 1/176410
Least Common Multiple of 299,590 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 299,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,590) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,590) x common factors =1 x 1 = 1
LCM(299,590) = ( 299 × 590 ) / 1
LCM(299,590) = 176410 / 1
LCM(299,590) = 176410
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FAQs on GCF of Fractions of 6199/299, 6465/590
1. What is the HCF of 6199,6465?
The HCF of 6199,6465 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 6199/299, 6465/590?
Answer: GCF of Numerators as per given numbers 6199/299, 6465/590 is
GCF of Numerators i.e. for 6199,6465 is 1
LCM of denominators i.e. for 299,590 is 176410.
Thus, GCF of Fractions is 1/176410.Finally, GCF of Fractions for 6199/299, 6465/590 is 1/176410.