GCF of 6710/732, 8540/5556
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6710/732, 8540/5556 i.e 610/338916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6710/732, 8540/5556.
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 6710/732,8540/5556?
Given fractions are 6710/732,8540/5556
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 6710/732,8540/5556, numerators are 6710,8540
Denominators are 732,5556
The GCF of 6710,8540 is 610 .
LCM of 732,5556 is 338916.
The greatest common factor of 6710/732,8540/5556 = [GCF of 6710,8540]/[LCM of 732,5556]= 610/338916
Therefore, the GCF of 6710/732,8540/5556 is 610/338916.
To find the highest common factor of 6710,8540, we have to find the factors of both numbers and list the highest common factor.
The factors of 6710 are 1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710
The factors of 8540 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 61, 70, 122, 140, 244, 305, 427, 610, 854, 1220, 1708, 2135, 4270, 8540
The HCF of 6710,8540 is 610.
Lets's calculate GCF of 6710,8540
| 2 | 6710, 8540 |
| 5 | 3355, 4270 |
| 61 | 671, 854 |
| 11, 14 |
∴ So the GCF of the given numbers is 2 x 5 x 61 = 610
Greatest Common Factor of 6710,8540 By Matching Biggest Common Factor Method
Now, list down the factors of 6710
:1,2,5,10,11,22,55,61,110,122,305,610,671,1342,3355,6710
Now, list down the factors of 8540
:1,2,4,5,7,10,14,20,28,35,61,70,122,140,244,305,427,610,854,1220,1708,2135,4270,8540
Greatest Common Factor
We found the factors 6710,8540 . The biggest common factor number is the GCF number.
So the greatest common factor 6710,8540 is 610.
Lets's calculate LCM of 732,5556
| 2 | 732, 5556 |
| 2 | 366, 2778 |
| 3 | 183, 1389 |
| 61, 463 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 61 x 463 = 338916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 610/338916
Therefore, the GCF of Fractions 6710/732,8540/5556 is 610/338916
Least Common Multiple of 732,5556 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 732,5556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,5556) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(732,5556) x common factors =12 x 1 = 12
LCM(732,5556) = ( 732 × 5556 ) / 12
LCM(732,5556) = 4066992 / 12
LCM(732,5556) = 338916
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FAQs on GCF of Fractions of 6710/732, 8540/5556
1. What is the HCF of 6710,8540?
The HCF of 6710,8540 is 610
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 6710/732, 8540/5556?
Answer: GCF of Numerators as per given numbers 6710/732, 8540/5556 is
GCF of Numerators i.e. for 6710,8540 is 610
LCM of denominators i.e. for 732,5556 is 338916.
Thus, GCF of Fractions is 610/338916.Finally, GCF of Fractions for 6710/732, 8540/5556 is 610/338916.