GCF of 6651/685, 2691/4012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6651/685, 2691/4012 i.e 9/2748220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6651/685, 2691/4012.
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 6651/685,2691/4012?
Given fractions are 6651/685,2691/4012
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 6651/685,2691/4012, numerators are 6651,2691
Denominators are 685,4012
The GCF of 6651,2691 is 9 .
LCM of 685,4012 is 2748220.
The greatest common factor of 6651/685,2691/4012 = [GCF of 6651,2691]/[LCM of 685,4012]= 9/2748220
Therefore, the GCF of 6651/685,2691/4012 is 9/2748220.
To find the highest common factor of 6651,2691, we have to find the factors of both numbers and list the highest common factor.
The factors of 6651 are 1, 3, 9, 739, 2217, 6651
The factors of 2691 are 1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897, 2691
The HCF of 6651,2691 is 9.
Lets's calculate GCF of 6651,2691
| 3 | 6651, 2691 |
| 3 | 2217, 897 |
| 739, 299 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6651,2691 By Matching Biggest Common Factor Method
Now, list down the factors of 6651
:1,3,9,739,2217,6651
Now, list down the factors of 2691
:1,3,9,13,23,39,69,117,207,299,897,2691
Greatest Common Factor
We found the factors 6651,2691 . The biggest common factor number is the GCF number.
So the greatest common factor 6651,2691 is 9.
Lets's calculate LCM of 685,4012
Given numbers has no common factors except 1. So, there LCM is their product i.e 2748220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2748220
Therefore, the GCF of Fractions 6651/685,2691/4012 is 9/2748220
Least Common Multiple of 685,4012 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 685,4012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,4012) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,4012) x common factors =1 x 1 = 1
LCM(685,4012) = ( 685 × 4012 ) / 1
LCM(685,4012) = 2748220 / 1
LCM(685,4012) = 2748220
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FAQs on GCF of Fractions of 6651/685, 2691/4012
1. What is the HCF of 6651,2691?
The HCF of 6651,2691 is 9
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 6651/685, 2691/4012?
Answer: GCF of Numerators as per given numbers 6651/685, 2691/4012 is
GCF of Numerators i.e. for 6651,2691 is 9
LCM of denominators i.e. for 685,4012 is 2748220.
Thus, GCF of Fractions is 9/2748220.Finally, GCF of Fractions for 6651/685, 2691/4012 is 9/2748220.