GCF of 6340/609, 9540/1761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6340/609, 9540/1761 i.e 20/357483 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6340/609, 9540/1761.
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 6340/609,9540/1761?
Given fractions are 6340/609,9540/1761
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 6340/609,9540/1761, numerators are 6340,9540
Denominators are 609,1761
The GCF of 6340,9540 is 20 .
LCM of 609,1761 is 357483.
The greatest common factor of 6340/609,9540/1761 = [GCF of 6340,9540]/[LCM of 609,1761]= 20/357483
Therefore, the GCF of 6340/609,9540/1761 is 20/357483.
To find the highest common factor of 6340,9540, we have to find the factors of both numbers and list the highest common factor.
The factors of 6340 are 1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340
The factors of 9540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 477, 530, 636, 795, 954, 1060, 1590, 1908, 2385, 3180, 4770, 9540
The HCF of 6340,9540 is 20.
Lets's calculate GCF of 6340,9540
| 2 | 6340, 9540 |
| 2 | 3170, 4770 |
| 5 | 1585, 2385 |
| 317, 477 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 6340,9540 By Matching Biggest Common Factor Method
Now, list down the factors of 6340
:1,2,4,5,10,20,317,634,1268,1585,3170,6340
Now, list down the factors of 9540
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,53,60,90,106,159,180,212,265,318,477,530,636,795,954,1060,1590,1908,2385,3180,4770,9540
Greatest Common Factor
We found the factors 6340,9540 . The biggest common factor number is the GCF number.
So the greatest common factor 6340,9540 is 20.
Lets's calculate LCM of 609,1761
| 3 | 609, 1761 |
| 203, 587 |
∴ So the LCM of the given numbers is 3 x 203 x 587 = 357483
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/357483
Therefore, the GCF of Fractions 6340/609,9540/1761 is 20/357483
Least Common Multiple of 609,1761 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 609,1761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,1761) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(609,1761) x common factors =3 x 1 = 3
LCM(609,1761) = ( 609 × 1761 ) / 3
LCM(609,1761) = 1072449 / 3
LCM(609,1761) = 357483
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FAQs on GCF of Fractions of 6340/609, 9540/1761
1. What is the HCF of 6340,9540?
The HCF of 6340,9540 is 20
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 6340/609, 9540/1761?
Answer: GCF of Numerators as per given numbers 6340/609, 9540/1761 is
GCF of Numerators i.e. for 6340,9540 is 20
LCM of denominators i.e. for 609,1761 is 357483.
Thus, GCF of Fractions is 20/357483.Finally, GCF of Fractions for 6340/609, 9540/1761 is 20/357483.