GCF of 6510/779, 3576/4442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6510/779, 3576/4442 i.e 6/3460318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6510/779, 3576/4442.
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 6510/779,3576/4442?
Given fractions are 6510/779,3576/4442
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 6510/779,3576/4442, numerators are 6510,3576
Denominators are 779,4442
The GCF of 6510,3576 is 6 .
LCM of 779,4442 is 3460318.
The greatest common factor of 6510/779,3576/4442 = [GCF of 6510,3576]/[LCM of 779,4442]= 6/3460318
Therefore, the GCF of 6510/779,3576/4442 is 6/3460318.
To find the highest common factor of 6510,3576, we have to find the factors of both numbers and list the highest common factor.
The factors of 6510 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510
The factors of 3576 are 1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788, 3576
The HCF of 6510,3576 is 6.
Lets's calculate GCF of 6510,3576
| 2 | 6510, 3576 |
| 3 | 3255, 1788 |
| 1085, 596 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6510,3576 By Matching Biggest Common Factor Method
Now, list down the factors of 6510
:1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510
Now, list down the factors of 3576
:1,2,3,4,6,8,12,24,149,298,447,596,894,1192,1788,3576
Greatest Common Factor
We found the factors 6510,3576 . The biggest common factor number is the GCF number.
So the greatest common factor 6510,3576 is 6.
Lets's calculate LCM of 779,4442
Given numbers has no common factors except 1. So, there LCM is their product i.e 3460318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3460318
Therefore, the GCF of Fractions 6510/779,3576/4442 is 6/3460318
Least Common Multiple of 779,4442 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 779,4442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,4442) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,4442) x common factors =1 x 1 = 1
LCM(779,4442) = ( 779 × 4442 ) / 1
LCM(779,4442) = 3460318 / 1
LCM(779,4442) = 3460318
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FAQs on GCF of Fractions of 6510/779, 3576/4442
1. What is the HCF of 6510,3576?
The HCF of 6510,3576 is 6
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 6510/779, 3576/4442?
Answer: GCF of Numerators as per given numbers 6510/779, 3576/4442 is
GCF of Numerators i.e. for 6510,3576 is 6
LCM of denominators i.e. for 779,4442 is 3460318.
Thus, GCF of Fractions is 6/3460318.Finally, GCF of Fractions for 6510/779, 3576/4442 is 6/3460318.