GCF of 6543/718, 1230/7039
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6543/718, 1230/7039 i.e 3/5054002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6543/718, 1230/7039.
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 6543/718,1230/7039?
Given fractions are 6543/718,1230/7039
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 6543/718,1230/7039, numerators are 6543,1230
Denominators are 718,7039
The GCF of 6543,1230 is 3 .
LCM of 718,7039 is 5054002.
The greatest common factor of 6543/718,1230/7039 = [GCF of 6543,1230]/[LCM of 718,7039]= 3/5054002
Therefore, the GCF of 6543/718,1230/7039 is 3/5054002.
To find the highest common factor of 6543,1230, we have to find the factors of both numbers and list the highest common factor.
The factors of 6543 are 1, 3, 9, 727, 2181, 6543
The factors of 1230 are 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230
The HCF of 6543,1230 is 3.
Lets's calculate GCF of 6543,1230
| 3 | 6543, 1230 |
| 2181, 410 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6543,1230 By Matching Biggest Common Factor Method
Now, list down the factors of 6543
:1,3,9,727,2181,6543
Now, list down the factors of 1230
:1,2,3,5,6,10,15,30,41,82,123,205,246,410,615,1230
Greatest Common Factor
We found the factors 6543,1230 . The biggest common factor number is the GCF number.
So the greatest common factor 6543,1230 is 3.
Lets's calculate LCM of 718,7039
Given numbers has no common factors except 1. So, there LCM is their product i.e 5054002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5054002
Therefore, the GCF of Fractions 6543/718,1230/7039 is 3/5054002
Least Common Multiple of 718,7039 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 718,7039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,7039) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(718,7039) x common factors =1 x 1 = 1
LCM(718,7039) = ( 718 × 7039 ) / 1
LCM(718,7039) = 5054002 / 1
LCM(718,7039) = 5054002
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6543/718, 1230/7039
1. What is the HCF of 6543,1230?
The HCF of 6543,1230 is 3
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 6543/718, 1230/7039?
Answer: GCF of Numerators as per given numbers 6543/718, 1230/7039 is
GCF of Numerators i.e. for 6543,1230 is 3
LCM of denominators i.e. for 718,7039 is 5054002.
Thus, GCF of Fractions is 3/5054002.Finally, GCF of Fractions for 6543/718, 1230/7039 is 3/5054002.