GCF of 6560/237, 6810/2683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6560/237, 6810/2683 i.e 10/635871 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6560/237, 6810/2683.
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 6560/237,6810/2683?
Given fractions are 6560/237,6810/2683
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 6560/237,6810/2683, numerators are 6560,6810
Denominators are 237,2683
The GCF of 6560,6810 is 10 .
LCM of 237,2683 is 635871.
The greatest common factor of 6560/237,6810/2683 = [GCF of 6560,6810]/[LCM of 237,2683]= 10/635871
Therefore, the GCF of 6560/237,6810/2683 is 10/635871.
To find the highest common factor of 6560,6810, we have to find the factors of both numbers and list the highest common factor.
The factors of 6560 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 80, 82, 160, 164, 205, 328, 410, 656, 820, 1312, 1640, 3280, 6560
The factors of 6810 are 1, 2, 3, 5, 6, 10, 15, 30, 227, 454, 681, 1135, 1362, 2270, 3405, 6810
The HCF of 6560,6810 is 10.
Lets's calculate GCF of 6560,6810
| 2 | 6560, 6810 |
| 5 | 3280, 3405 |
| 656, 681 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6560,6810 By Matching Biggest Common Factor Method
Now, list down the factors of 6560
:1,2,4,5,8,10,16,20,32,40,41,80,82,160,164,205,328,410,656,820,1312,1640,3280,6560
Now, list down the factors of 6810
:1,2,3,5,6,10,15,30,227,454,681,1135,1362,2270,3405,6810
Greatest Common Factor
We found the factors 6560,6810 . The biggest common factor number is the GCF number.
So the greatest common factor 6560,6810 is 10.
Lets's calculate LCM of 237,2683
Given numbers has no common factors except 1. So, there LCM is their product i.e 635871
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/635871
Therefore, the GCF of Fractions 6560/237,6810/2683 is 10/635871
Least Common Multiple of 237,2683 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 237,2683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,2683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,2683) x common factors =1 x 1 = 1
LCM(237,2683) = ( 237 × 2683 ) / 1
LCM(237,2683) = 635871 / 1
LCM(237,2683) = 635871
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FAQs on GCF of Fractions of 6560/237, 6810/2683
1. What is the HCF of 6560,6810?
The HCF of 6560,6810 is 10
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 6560/237, 6810/2683?
Answer: GCF of Numerators as per given numbers 6560/237, 6810/2683 is
GCF of Numerators i.e. for 6560,6810 is 10
LCM of denominators i.e. for 237,2683 is 635871.
Thus, GCF of Fractions is 10/635871.Finally, GCF of Fractions for 6560/237, 6810/2683 is 10/635871.