GCF of 2829/565, 6762/3368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2829/565, 6762/3368 i.e 69/1902920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2829/565, 6762/3368.
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 2829/565,6762/3368?
Given fractions are 2829/565,6762/3368
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 2829/565,6762/3368, numerators are 2829,6762
Denominators are 565,3368
The GCF of 2829,6762 is 69 .
LCM of 565,3368 is 1902920.
The greatest common factor of 2829/565,6762/3368 = [GCF of 2829,6762]/[LCM of 565,3368]= 69/1902920
Therefore, the GCF of 2829/565,6762/3368 is 69/1902920.
To find the highest common factor of 2829,6762, we have to find the factors of both numbers and list the highest common factor.
The factors of 2829 are 1, 3, 23, 41, 69, 123, 943, 2829
The factors of 6762 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762
The HCF of 2829,6762 is 69.
Lets's calculate GCF of 2829,6762
| 3 | 2829, 6762 |
| 23 | 943, 2254 |
| 41, 98 |
∴ So the GCF of the given numbers is 3 x 23 = 69
Greatest Common Factor of 2829,6762 By Matching Biggest Common Factor Method
Now, list down the factors of 2829
:1,3,23,41,69,123,943,2829
Now, list down the factors of 6762
:1,2,3,6,7,14,21,23,42,46,49,69,98,138,147,161,294,322,483,966,1127,2254,3381,6762
Greatest Common Factor
We found the factors 2829,6762 . The biggest common factor number is the GCF number.
So the greatest common factor 2829,6762 is 69.
Lets's calculate LCM of 565,3368
Given numbers has no common factors except 1. So, there LCM is their product i.e 1902920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/1902920
Therefore, the GCF of Fractions 2829/565,6762/3368 is 69/1902920
Least Common Multiple of 565,3368 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 565,3368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,3368) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,3368) x common factors =1 x 1 = 1
LCM(565,3368) = ( 565 × 3368 ) / 1
LCM(565,3368) = 1902920 / 1
LCM(565,3368) = 1902920
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FAQs on GCF of Fractions of 2829/565, 6762/3368
1. What is the HCF of 2829,6762?
The HCF of 2829,6762 is 69
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 2829/565, 6762/3368?
Answer: GCF of Numerators as per given numbers 2829/565, 6762/3368 is
GCF of Numerators i.e. for 2829,6762 is 69
LCM of denominators i.e. for 565,3368 is 1902920.
Thus, GCF of Fractions is 69/1902920.Finally, GCF of Fractions for 2829/565, 6762/3368 is 69/1902920.