GCF of 7145/589, 6894/6142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7145/589, 6894/6142 i.e 1/3617638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7145/589, 6894/6142.
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 7145/589,6894/6142?
Given fractions are 7145/589,6894/6142
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 7145/589,6894/6142, numerators are 7145,6894
Denominators are 589,6142
The GCF of 7145,6894 is 1 .
LCM of 589,6142 is 3617638.
The greatest common factor of 7145/589,6894/6142 = [GCF of 7145,6894]/[LCM of 589,6142]= 1/3617638
Therefore, the GCF of 7145/589,6894/6142 is 1/3617638.
To find the highest common factor of 7145,6894, we have to find the factors of both numbers and list the highest common factor.
The factors of 7145 are 1, 5, 1429, 7145
The factors of 6894 are 1, 2, 3, 6, 9, 18, 383, 766, 1149, 2298, 3447, 6894
The HCF of 7145,6894 is 1.
Lets's calculate GCF of 7145,6894
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7145,6894 By Matching Biggest Common Factor Method
Now, list down the factors of 7145
:1,5,1429,7145
Now, list down the factors of 6894
:1,2,3,6,9,18,383,766,1149,2298,3447,6894
Greatest Common Factor
We found the factors 7145,6894 . The biggest common factor number is the GCF number.
So the greatest common factor 7145,6894 is 1.
Lets's calculate LCM of 589,6142
Given numbers has no common factors except 1. So, there LCM is their product i.e 3617638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3617638
Therefore, the GCF of Fractions 7145/589,6894/6142 is 1/3617638
Least Common Multiple of 589,6142 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 589,6142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,6142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,6142) x common factors =1 x 1 = 1
LCM(589,6142) = ( 589 × 6142 ) / 1
LCM(589,6142) = 3617638 / 1
LCM(589,6142) = 3617638
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7145/589, 6894/6142
1. What is the HCF of 7145,6894?
The HCF of 7145,6894 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 7145/589, 6894/6142?
Answer: GCF of Numerators as per given numbers 7145/589, 6894/6142 is
GCF of Numerators i.e. for 7145,6894 is 1
LCM of denominators i.e. for 589,6142 is 3617638.
Thus, GCF of Fractions is 1/3617638.Finally, GCF of Fractions for 7145/589, 6894/6142 is 1/3617638.