GCF of 6145/209, 6118/2402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6145/209, 6118/2402 i.e 1/502018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6145/209, 6118/2402.
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 6145/209,6118/2402?
Given fractions are 6145/209,6118/2402
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 6145/209,6118/2402, numerators are 6145,6118
Denominators are 209,2402
The GCF of 6145,6118 is 1 .
LCM of 209,2402 is 502018.
The greatest common factor of 6145/209,6118/2402 = [GCF of 6145,6118]/[LCM of 209,2402]= 1/502018
Therefore, the GCF of 6145/209,6118/2402 is 1/502018.
To find the highest common factor of 6145,6118, we have to find the factors of both numbers and list the highest common factor.
The factors of 6145 are 1, 5, 1229, 6145
The factors of 6118 are 1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118
The HCF of 6145,6118 is 1.
Lets's calculate GCF of 6145,6118
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6145,6118 By Matching Biggest Common Factor Method
Now, list down the factors of 6145
:1,5,1229,6145
Now, list down the factors of 6118
:1,2,7,14,19,23,38,46,133,161,266,322,437,874,3059,6118
Greatest Common Factor
We found the factors 6145,6118 . The biggest common factor number is the GCF number.
So the greatest common factor 6145,6118 is 1.
Lets's calculate LCM of 209,2402
Given numbers has no common factors except 1. So, there LCM is their product i.e 502018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/502018
Therefore, the GCF of Fractions 6145/209,6118/2402 is 1/502018
Least Common Multiple of 209,2402 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 209,2402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,2402) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,2402) x common factors =1 x 1 = 1
LCM(209,2402) = ( 209 × 2402 ) / 1
LCM(209,2402) = 502018 / 1
LCM(209,2402) = 502018
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6145/209, 6118/2402
1. What is the HCF of 6145,6118?
The HCF of 6145,6118 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 6145/209, 6118/2402?
Answer: GCF of Numerators as per given numbers 6145/209, 6118/2402 is
GCF of Numerators i.e. for 6145,6118 is 1
LCM of denominators i.e. for 209,2402 is 502018.
Thus, GCF of Fractions is 1/502018.Finally, GCF of Fractions for 6145/209, 6118/2402 is 1/502018.