GCF of 6450/618, 7687/9484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6450/618, 7687/9484 i.e 1/2930556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6450/618, 7687/9484.
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 6450/618,7687/9484?
Given fractions are 6450/618,7687/9484
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 6450/618,7687/9484, numerators are 6450,7687
Denominators are 618,9484
The GCF of 6450,7687 is 1 .
LCM of 618,9484 is 2930556.
The greatest common factor of 6450/618,7687/9484 = [GCF of 6450,7687]/[LCM of 618,9484]= 1/2930556
Therefore, the GCF of 6450/618,7687/9484 is 1/2930556.
To find the highest common factor of 6450,7687, we have to find the factors of both numbers and list the highest common factor.
The factors of 6450 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 43, 50, 75, 86, 129, 150, 215, 258, 430, 645, 1075, 1290, 2150, 3225, 6450
The factors of 7687 are 1, 7687
The HCF of 6450,7687 is 1.
Lets's calculate GCF of 6450,7687
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6450,7687 By Matching Biggest Common Factor Method
Now, list down the factors of 6450
:1,2,3,5,6,10,15,25,30,43,50,75,86,129,150,215,258,430,645,1075,1290,2150,3225,6450
Now, list down the factors of 7687
:1,7687
Greatest Common Factor
We found the factors 6450,7687 . The biggest common factor number is the GCF number.
So the greatest common factor 6450,7687 is 1.
Lets's calculate LCM of 618,9484
| 2 | 618, 9484 |
| 309, 4742 |
∴ So the LCM of the given numbers is 2 x 309 x 4742 = 2930556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2930556
Therefore, the GCF of Fractions 6450/618,7687/9484 is 1/2930556
Least Common Multiple of 618,9484 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 618,9484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,9484) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(618,9484) x common factors =2 x 1 = 2
LCM(618,9484) = ( 618 × 9484 ) / 2
LCM(618,9484) = 5861112 / 2
LCM(618,9484) = 2930556
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FAQs on GCF of Fractions of 6450/618, 7687/9484
1. What is the HCF of 6450,7687?
The HCF of 6450,7687 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 6450/618, 7687/9484?
Answer: GCF of Numerators as per given numbers 6450/618, 7687/9484 is
GCF of Numerators i.e. for 6450,7687 is 1
LCM of denominators i.e. for 618,9484 is 2930556.
Thus, GCF of Fractions is 1/2930556.Finally, GCF of Fractions for 6450/618, 7687/9484 is 1/2930556.