GCF of 3369/689, 6540/2807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3369/689, 6540/2807 i.e 3/1934023 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3369/689, 6540/2807.
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 3369/689,6540/2807?
Given fractions are 3369/689,6540/2807
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 3369/689,6540/2807, numerators are 3369,6540
Denominators are 689,2807
The GCF of 3369,6540 is 3 .
LCM of 689,2807 is 1934023.
The greatest common factor of 3369/689,6540/2807 = [GCF of 3369,6540]/[LCM of 689,2807]= 3/1934023
Therefore, the GCF of 3369/689,6540/2807 is 3/1934023.
To find the highest common factor of 3369,6540, we have to find the factors of both numbers and list the highest common factor.
The factors of 3369 are 1, 3, 1123, 3369
The factors of 6540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 109, 218, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 3270, 6540
The HCF of 3369,6540 is 3.
Lets's calculate GCF of 3369,6540
| 3 | 3369, 6540 |
| 1123, 2180 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3369,6540 By Matching Biggest Common Factor Method
Now, list down the factors of 3369
:1,3,1123,3369
Now, list down the factors of 6540
:1,2,3,4,5,6,10,12,15,20,30,60,109,218,327,436,545,654,1090,1308,1635,2180,3270,6540
Greatest Common Factor
We found the factors 3369,6540 . The biggest common factor number is the GCF number.
So the greatest common factor 3369,6540 is 3.
Lets's calculate LCM of 689,2807
Given numbers has no common factors except 1. So, there LCM is their product i.e 1934023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1934023
Therefore, the GCF of Fractions 3369/689,6540/2807 is 3/1934023
Least Common Multiple of 689,2807 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 689,2807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,2807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,2807) x common factors =1 x 1 = 1
LCM(689,2807) = ( 689 × 2807 ) / 1
LCM(689,2807) = 1934023 / 1
LCM(689,2807) = 1934023
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FAQs on GCF of Fractions of 3369/689, 6540/2807
1. What is the HCF of 3369,6540?
The HCF of 3369,6540 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 3369/689, 6540/2807?
Answer: GCF of Numerators as per given numbers 3369/689, 6540/2807 is
GCF of Numerators i.e. for 3369,6540 is 3
LCM of denominators i.e. for 689,2807 is 1934023.
Thus, GCF of Fractions is 3/1934023.Finally, GCF of Fractions for 3369/689, 6540/2807 is 3/1934023.