GCF of 6279/642, 9643/2694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6279/642, 9643/2694 i.e 1/288258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6279/642, 9643/2694.
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 6279/642,9643/2694?
Given fractions are 6279/642,9643/2694
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 6279/642,9643/2694, numerators are 6279,9643
Denominators are 642,2694
The GCF of 6279,9643 is 1 .
LCM of 642,2694 is 288258.
The greatest common factor of 6279/642,9643/2694 = [GCF of 6279,9643]/[LCM of 642,2694]= 1/288258
Therefore, the GCF of 6279/642,9643/2694 is 1/288258.
To find the highest common factor of 6279,9643, we have to find the factors of both numbers and list the highest common factor.
The factors of 6279 are 1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 273, 299, 483, 897, 2093, 6279
The factors of 9643 are 1, 9643
The HCF of 6279,9643 is 1.
Lets's calculate GCF of 6279,9643
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6279,9643 By Matching Biggest Common Factor Method
Now, list down the factors of 6279
:1,3,7,13,21,23,39,69,91,161,273,299,483,897,2093,6279
Now, list down the factors of 9643
:1,9643
Greatest Common Factor
We found the factors 6279,9643 . The biggest common factor number is the GCF number.
So the greatest common factor 6279,9643 is 1.
Lets's calculate LCM of 642,2694
| 2 | 642, 2694 |
| 3 | 321, 1347 |
| 107, 449 |
∴ So the LCM of the given numbers is 2 x 3 x 107 x 449 = 288258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288258
Therefore, the GCF of Fractions 6279/642,9643/2694 is 1/288258
Least Common Multiple of 642,2694 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 642,2694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,2694) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(642,2694) x common factors =6 x 1 = 6
LCM(642,2694) = ( 642 × 2694 ) / 6
LCM(642,2694) = 1729548 / 6
LCM(642,2694) = 288258
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FAQs on GCF of Fractions of 6279/642, 9643/2694
1. What is the HCF of 6279,9643?
The HCF of 6279,9643 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 6279/642, 9643/2694?
Answer: GCF of Numerators as per given numbers 6279/642, 9643/2694 is
GCF of Numerators i.e. for 6279,9643 is 1
LCM of denominators i.e. for 642,2694 is 288258.
Thus, GCF of Fractions is 1/288258.Finally, GCF of Fractions for 6279/642, 9643/2694 is 1/288258.